From 5cf8d93a09fc6e6a985998aaeb50f0f12f3f3af9 Mon Sep 17 00:00:00 2001
From: Guy De Souza <desouza@eurecom.fr>
Date: Thu, 17 May 2018 11:50:47 +0200
Subject: [PATCH] NR Polar imports

---
 openair1/PHY/CODING/TESTBENCH/polartest.c     |  194 ++
 openair1/PHY/CODING/nrPolar_init.c            |   54 +
 openair1/PHY/CODING/nrPolar_tools/.gitkeep    |    0
 .../nrPolar_tools/get_3GPP_info_bit_pattern.c |  200 ++
 .../CODING/nrPolar_tools/get_PC_bit_pattern.c |  259 +++
 .../nrPolar_tools/get_crc_generator_matrix.c  |   79 +
 .../PHY/CODING/nrPolar_tools/main_pucch.c     |   39 +
 .../nrPolar_tools/nr_bitwise_operations.c     |   16 +
 .../PHY/CODING/nrPolar_tools/nr_crc_byte.c    |  374 +++
 .../nrPolar_tools/nr_polar_bit_insertion.c    |   31 +
 .../nrPolar_tools/nr_polar_bit_insertion_2.c  |   63 +
 .../nr_polar_channel_interleaver_pattern.c    |   42 +
 .../PHY/CODING/nrPolar_tools/nr_polar_crc.c   |   46 +
 .../CODING/nrPolar_tools/nr_polar_decoder.c   |  254 ++
 .../nrPolar_tools/nr_polar_decoding_tools.c   |  115 +
 .../PHY/CODING/nrPolar_tools/nr_polar_defs.h  |  112 +
 .../CODING/nrPolar_tools/nr_polar_encoder.c   |   56 +
 .../nrPolar_tools/nr_polar_info_bit_pattern.c |  110 +
 .../nrPolar_tools/nr_polar_interleave.c       |   37 +
 .../nrPolar_tools/nr_polar_kernal_operation.c |   23 +
 .../nr_polar_kronecker_power_matrices.c       | 2064 +++++++++++++++++
 .../nrPolar_tools/nr_polar_matrix_and_array.c |  160 ++
 .../nrPolar_tools/nr_polar_output_length.c    |   25 +
 .../CODING/nrPolar_tools/nr_polar_pbch_defs.h |   42 +
 .../PHY/CODING/nrPolar_tools/nr_polar_plot.m  |    0
 .../nrPolar_tools/nr_polar_pucch_defs.h       |   28 +
 .../nrPolar_tools/nr_polar_rate_match.c       |   64 +
 .../nrPolar_tools/nr_polar_sequence_pattern.c |   19 +
 .../CODING/nrPolar_tools/nr_pucch_encoder.c   |  310 +++
 29 files changed, 4816 insertions(+)
 create mode 100644 openair1/PHY/CODING/TESTBENCH/polartest.c
 create mode 100644 openair1/PHY/CODING/nrPolar_init.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/.gitkeep
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/get_3GPP_info_bit_pattern.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/get_PC_bit_pattern.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/get_crc_generator_matrix.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/main_pucch.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_bitwise_operations.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_crc_byte.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion_2.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_channel_interleaver_pattern.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_crc.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_decoder.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_decoding_tools.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_defs.h
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_encoder.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_info_bit_pattern.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_interleave.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_kernal_operation.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_kronecker_power_matrices.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_matrix_and_array.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_output_length.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_plot.m
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_pucch_defs.h
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_rate_match.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_polar_sequence_pattern.c
 create mode 100644 openair1/PHY/CODING/nrPolar_tools/nr_pucch_encoder.c

diff --git a/openair1/PHY/CODING/TESTBENCH/polartest.c b/openair1/PHY/CODING/TESTBENCH/polartest.c
new file mode 100644
index 0000000000..cdf99a06eb
--- /dev/null
+++ b/openair1/PHY/CODING/TESTBENCH/polartest.c
@@ -0,0 +1,194 @@
+#include <math.h>
+#include <stdio.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <time.h>
+
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+#include "PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h"
+#include "SIMULATION/TOOLS/defs.h"
+
+int main(int argc, char *argv[]) {
+
+	//Initiate timing. (Results depend on CPU Frequency. Therefore, might change due to performance variances during simulation.)
+	time_stats_t timeEncoder,timeDecoder;
+	opp_enabled=1;
+	cpu_freq_GHz = get_cpu_freq_GHz();
+	reset_meas(&timeEncoder);
+	reset_meas(&timeDecoder);
+
+	randominit(0);
+	//Default simulation values (Aim for iterations = 1000000.)
+	int itr, iterations = 1000, arguments, polarMessageType = 1; //0=DCI, 1=PBCH, 2=UCI
+	double SNRstart = -20.0, SNRstop = 20.0, SNRinc= 0.5; //dB
+
+	double SNR, SNR_lin;
+	int16_t nBitError = 0; // -1 = Decoding failed (All list entries have failed the CRC checks).
+	int8_t decoderState=0, blockErrorState=0; //0 = Success, -1 = Decoding failed, 1 = Block Error.
+	uint16_t testLength, coderLength, blockErrorCumulative=0, bitErrorCumulative=0;
+	double timeEncoderCumulative = 0, timeDecoderCumulative = 0;
+
+	uint8_t decoderListSize = 8, pathMetricAppr = 0; //0 --> eq. (8a) and (11b), 1 --> eq. (9) and (12)
+
+	while ((arguments = getopt (argc, argv, "s:d:f:m:i:l:a:")) != -1)
+	switch (arguments)
+	{
+		case 's':
+			SNRstart = atof(optarg);
+			printf("SNRstart = %f\n", SNRstart);
+			break;
+
+		case 'd':
+			SNRinc = atof(optarg);
+			break;
+
+		case 'f':
+			SNRstop = atof(optarg);
+			break;
+
+		case 'm':
+			polarMessageType = atoi(optarg);
+			break;
+
+		case 'i':
+			iterations = atoi(optarg);
+			break;
+
+		case 'l':
+			decoderListSize = (uint8_t) atoi(optarg);
+			break;
+
+		case 'a':
+			pathMetricAppr = (uint8_t) atoi(optarg);
+			break;
+
+		default:
+			perror("[polartest.c] Problem at argument parsing with getopt");
+			abort ();
+	}
+
+	if (polarMessageType == 0) { //DCI
+		//testLength = ;
+		//coderLength = ;
+	} else if (polarMessageType == 1) { //PBCH
+		testLength = NR_POLAR_PBCH_PAYLOAD_BITS;
+		coderLength = NR_POLAR_PBCH_E;
+	} else if (polarMessageType == 2) { //UCI
+		//testLength = ;
+		//coderLength = ;
+	}
+
+	//Logging
+	time_t currentTime;
+	time (&currentTime);
+	char fileName[512], currentTimeInfo[25];
+
+	sprintf(fileName,"./polartestResults/_ListSize_%d_pmAppr_%d_Payload_%d_Itr_%d",decoderListSize,pathMetricAppr,testLength,iterations);
+	strftime(currentTimeInfo, 25, "_%Y-%m-%d-%H-%M-%S.csv", localtime(&currentTime));
+	strcat(fileName,currentTimeInfo);
+
+	//Create "./polartestResults" folder if it doesn't already exist.
+	struct stat folder = {0};
+	if (stat("./polartestResults", &folder) == -1) mkdir("./polartestResults", S_IRWXU | S_IRWXO);
+
+    FILE* logFile;
+    logFile = fopen(fileName, "w");
+    if (logFile==NULL) {
+        fprintf(stderr,"[polartest.c] Problem creating file %s with fopen\n",fileName);
+        exit(-1);
+      }
+    fprintf(logFile,",SNR,nBitError,blockErrorState,t_encoder[us],t_decoder[us]\n");
+
+	uint8_t *testInput = malloc(sizeof(uint8_t) * testLength); //generate randomly
+	uint8_t *encoderOutput = malloc(sizeof(uint8_t) * coderLength);
+	double *modulatedInput = malloc (sizeof(double) * coderLength); //channel input
+
+	double *channelOutput  = malloc (sizeof(double) * coderLength); //add noise
+	uint8_t *estimatedOutput = malloc(sizeof(uint8_t) * testLength); //decoder output
+
+	t_nrPolar_params nrPolar_params;
+	nr_polar_init(&nrPolar_params, polarMessageType);
+
+	// We assume no a priori knowledge available about the payload.
+	double aPrioriArray[nrPolar_params.payloadBits];
+	for (int i=0; i<nrPolar_params.payloadBits; i++) aPrioriArray[i] = NAN;
+
+	for (SNR = SNRstart; SNR <= SNRstop; SNR += SNRinc) {
+		SNR_lin = pow(10, SNR/10);
+		for (itr = 1; itr <= iterations; itr++) {
+
+		for(int i=0; i<testLength; i++) testInput[i]=(uint8_t) (rand() % 2);
+
+		start_meas(&timeEncoder);
+		polar_encoder(testInput, encoderOutput, &nrPolar_params);
+		stop_meas(&timeEncoder);
+
+		//BPSK modulation
+		for(int i=0; i<coderLength; i++) {
+			if (encoderOutput[i] == 0)
+				modulatedInput[i]=1/sqrt(2);
+			else
+				modulatedInput[i]=(-1)/sqrt(2);
+
+			channelOutput[i] = modulatedInput[i] + (gaussdouble(0.0,1.0) * (1/sqrt(2*SNR_lin)));
+		}
+
+
+		start_meas(&timeDecoder);
+		decoderState = polar_decoder(channelOutput, estimatedOutput, &nrPolar_params, decoderListSize, aPrioriArray, pathMetricAppr);
+		stop_meas(&timeDecoder);
+
+		//calculate errors
+		if (decoderState==-1) {
+			blockErrorState=-1;
+			nBitError=-1;
+		} else {
+			for(int i=0; i<testLength; i++){
+				if (estimatedOutput[i]!=testInput[i]) nBitError++;
+			}
+			if (nBitError>0) blockErrorState=1;
+		}
+
+		//Iteration times are in microseconds.
+		timeEncoderCumulative+=(timeEncoder.diff_now/(cpu_freq_GHz*1000.0));
+		timeDecoderCumulative+=(timeDecoder.diff_now/(cpu_freq_GHz*1000.0));
+		fprintf(logFile,",%f,%d,%d,%f,%f\n", SNR, nBitError, blockErrorState,
+				(timeEncoder.diff_now/(cpu_freq_GHz*1000.0)), (timeDecoder.diff_now/(cpu_freq_GHz*1000.0)));
+
+		if (nBitError<0) {
+			blockErrorCumulative++;
+			bitErrorCumulative+=testLength;
+		} else {
+			blockErrorCumulative+=blockErrorState;
+			bitErrorCumulative+=nBitError;
+		}
+
+		decoderState=0;
+		nBitError=0;
+		blockErrorState=0;
+
+		}
+		//Calculate error statistics for the SNR.
+		printf("[ListSize=%d, Appr=%d] SNR=%+8.3f, BLER=%9.6f, BER=%12.9f, t_Encoder=%9.3fus, t_Decoder=%9.3fus\n",
+				decoderListSize, pathMetricAppr, SNR, ((double)blockErrorCumulative/iterations),
+				((double)bitErrorCumulative / (iterations*testLength)),
+				(timeEncoderCumulative/iterations),timeDecoderCumulative/iterations);
+
+		blockErrorCumulative = 0; bitErrorCumulative = 0;
+		timeEncoderCumulative = 0; timeDecoderCumulative = 0;
+	}
+
+	print_meas(&timeEncoder,"polar_encoder",NULL,NULL);
+	print_meas(&timeDecoder,"polar_decoder",NULL,NULL);
+
+	fclose(logFile);
+	free(testInput);
+	free(encoderOutput);
+	free(modulatedInput);
+	free(channelOutput);
+	free(estimatedOutput);
+
+	return (0);
+}
diff --git a/openair1/PHY/CODING/nrPolar_init.c b/openair1/PHY/CODING/nrPolar_init.c
new file mode 100644
index 0000000000..cf788bae22
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_init.c
@@ -0,0 +1,54 @@
+#include "nrPolar_tools/nr_polar_defs.h"
+#include "nrPolar_tools/nr_polar_pbch_defs.h"
+
+void nr_polar_init(t_nrPolar_params* polarParams, int messageType) {
+
+	if (messageType == 0) { //DCI
+
+	} else if (messageType == 1) { //PBCH
+		polarParams->n_max = NR_POLAR_PBCH_N_MAX;
+		polarParams->i_il = NR_POLAR_PBCH_I_IL;
+		polarParams->n_pc = NR_POLAR_PBCH_N_PC;
+		polarParams->n_pc_wm = NR_POLAR_PBCH_N_PC_WM;
+		polarParams->i_bil = NR_POLAR_PBCH_I_BIL;
+		polarParams->payloadBits = NR_POLAR_PBCH_PAYLOAD_BITS;
+		polarParams->encoderLength = NR_POLAR_PBCH_E;
+		polarParams->crcParityBits = NR_POLAR_PBCH_CRC_PARITY_BITS;
+		polarParams->crcCorrectionBits = NR_POLAR_PBCH_CRC_ERROR_CORRECTION_BITS;
+
+		polarParams->K = polarParams->payloadBits + polarParams->crcParityBits; // Number of bits to encode.
+		polarParams->N = nr_polar_output_length(polarParams->K, polarParams->encoderLength, polarParams->n_max);
+		polarParams->n = log2(polarParams->N);
+
+		polarParams->crc_generator_matrix=crc24c_generator_matrix(polarParams->payloadBits);
+		polarParams->G_N = nr_polar_kronecker_power_matrices(polarParams->n);
+	} else if (messageType == 2) { //UCI
+
+	}
+
+	polarParams->Q_0_Nminus1 = nr_polar_sequence_pattern(polarParams->n);
+
+	polarParams->interleaving_pattern = (uint16_t *)malloc(sizeof(uint16_t) * polarParams->K);
+	nr_polar_interleaving_pattern(polarParams->K, polarParams->i_il, polarParams->interleaving_pattern);
+
+	polarParams->rate_matching_pattern = (uint16_t *)malloc(sizeof(uint16_t) * polarParams->encoderLength);
+	uint16_t *J = malloc(sizeof(uint16_t) * polarParams->N);
+	nr_polar_rate_matching_pattern(polarParams->rate_matching_pattern, J, nr_polar_subblock_interleaver_pattern,
+			polarParams->K, polarParams->N, polarParams->encoderLength);
+
+
+	polarParams->information_bit_pattern = malloc(sizeof(uint8_t) * polarParams->N);
+	polarParams->Q_I_N = malloc(sizeof(int16_t) * (polarParams->K + polarParams->n_pc));
+	polarParams->Q_F_N = malloc(sizeof(int16_t) * (polarParams->N+1)); // Last element shows the final array index assigned a value.
+	polarParams->Q_PC_N = malloc(sizeof(int16_t) * (polarParams->n_pc));
+	for (int i=0; i<=polarParams->N; i++) polarParams->Q_F_N[i] = -1; // Empty array.
+	nr_polar_info_bit_pattern(polarParams->information_bit_pattern,
+			polarParams->Q_I_N, polarParams->Q_F_N, J, polarParams->Q_0_Nminus1,
+			polarParams->K, polarParams->N, polarParams->encoderLength, polarParams->n_pc);
+
+	polarParams->channel_interleaver_pattern = malloc(sizeof(uint16_t) * polarParams->encoderLength);
+	nr_polar_channel_interleaver_pattern(polarParams->channel_interleaver_pattern,
+			polarParams->i_bil, polarParams->encoderLength);
+
+	free(J);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/.gitkeep b/openair1/PHY/CODING/nrPolar_tools/.gitkeep
new file mode 100644
index 0000000000..e69de29bb2
diff --git a/openair1/PHY/CODING/nrPolar_tools/get_3GPP_info_bit_pattern.c b/openair1/PHY/CODING/nrPolar_tools/get_3GPP_info_bit_pattern.c
new file mode 100644
index 0000000000..0e20b2c8f9
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/get_3GPP_info_bit_pattern.c
@@ -0,0 +1,200 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <stdint.h>
+
+void get_3GPP_info_bit_pattern(uint16_t K, uint16_t n_PC, uint16_t Q_N_length, uint8_t E_r, uint8_t* P, uint16_t* Q_N, uint8_t** info_bit_pattern)
+{
+//   GET_3GPP_INFO_BIT_PATTERN Obtain the 3GPP information bit pattern,
+//   according to Section 5.4.1.1 of 3GPP TS 38.212
+//
+//   I should be an integer scalar. It specifies the number of bits in the
+//   information, CRC and PC bit sequence. It should be no greater than N or E.
+//
+//   Q_N should be a row vector comprising N number of unique integers in the
+//   range 1 to N. Each successive element of Q_N provides the index of the
+//   next most reliable input to the polar encoder kernal, where the first
+//   element of Q_N gives the index of the least reliable bit and the last
+//   element gives the index of the most reliable bit.
+//
+//   rate_matching_pattern should be a vector comprising E_r number of
+//   integers, each having a value in the range 1 to N. Each integer
+//   identifies which one of the N outputs from the polar encoder kernal
+//   provides the corresponding bit in the encoded bit sequence e.
+//
+//   mode should have the value 'repetition', 'puncturing' or 'shortening'.
+//   This specifies how the rate matching has been achieved. 'repetition'
+//   indicates that some outputs of the polar encoder kernal are repeated in
+//   the encoded bit sequence two or more times. 'puncturing' and
+//   'shortening' indicate that some outputs of the polar encoder kernal
+//   have been excluded from the encoded bit sequence. In the case of
+//   'puncturing' these excluded bits could have values of 0 or 1. In the
+//   case of 'shortening' these excluded bits are guaranteed to have values
+//   of 0.
+//
+//   info_bit_pattern will be a vector comprising N number of logical
+//   elements, each having the value true or false. The number of elements
+//   in info_bit_pattern having the value true will be I. These elements
+//   having the value true identify the positions of the information and
+//   CRC bits within the input to the polar encoder kernal. The
+//   information bit arrangement can be achieved according to
+//   u(info_bit_pattern) = a.
+
+int I=K+n_PC;
+
+        if (I > Q_N_length) //I=K+n_PC
+        {
+            fprintf(stderr, "I=K+n_PC should be no greater than N.");
+            exit(-1);
+        }
+        if (I > E_r)
+        {
+            fprintf(stderr, "I=K+n_PC should be no greater than E.");
+            exit(-1);
+        }
+
+        //This is how the rate matching is described in TS 38.212
+        int J[Q_N_length];
+        int i,j;
+        for (j=0; j<Q_N_length; j++)
+        {
+            i=floor(32*(double)j/Q_N_length);
+            J[j] = P[i]*(Q_N_length/32)+(j%(Q_N_length/32));
+        }
+
+        //Q_Ftmp_N = [];
+        int Q_Ftmp_N_length= Q_N_length-E_r;
+        if (E_r < Q_N_length)
+        {
+            if ((double)(I)/E_r <= (double)7/16) // puncturing
+            {
+                //Q_Ftmp_N_length = Q_Ftmp_N_length + N-E;
+                if (E_r >= (double)3*Q_N_length/4)
+                {
+                    //Q_Ftmp_N = [Q_Ftmp_N,0:ceil(3*N/4-E/2)-1];
+                    Q_Ftmp_N_length = Q_Ftmp_N_length + ceil(3*Q_N_length/4-(double)E_r/2);
+                } else
+                {
+                    //Q_Ftmp_N = [Q_Ftmp_N,0:ceil(9*N/16-E/4)-1];
+                    Q_Ftmp_N_length = Q_Ftmp_N_length + ceil(9*Q_N_length/16-(double)E_r/4);
+                }
+            }
+        }
+
+        int* Q_Ftmp_N = (int *)malloc(sizeof(int)*Q_Ftmp_N_length);
+        if (Q_Ftmp_N == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        if (E_r < Q_N_length)
+        {
+            if ((double)I/E_r <= 7/16) // puncturing
+            {
+                for (j=0; j<Q_N_length-E_r; j++)
+                {
+                    Q_Ftmp_N[j] = J[j];
+                }
+
+                if (E_r >= 3*Q_N_length/4)
+                {
+                    for (j=0; j<ceil(3*Q_N_length/4-(double)E_r/2); j++)
+                    {
+                        Q_Ftmp_N[Q_N_length-E_r+1+j] = j;
+                    }
+                } else
+                {
+                    for (j=0; j<ceil(9*Q_N_length/16-(double)E_r/4); j++)
+                    {
+                        Q_Ftmp_N[Q_N_length-E_r+1+j] = j;
+                    }
+                }
+            } else // shortening
+            {
+                for (j=E_r; j<Q_N_length; j++)
+                {
+                    Q_Ftmp_N[j-E_r] = J[j];
+                }
+
+            }
+        }
+
+        //Q_Itmp_N = setdiff(Q_N-1,Q_Ftmp_N,'stable'); // -1 because TS 38.212 assumes that indices start at 0, not 1 like in Matlab
+        int Q_Itmp_N_length = Q_N_length;
+        int Q_Itmp_N_common[Q_N_length];
+
+        for(i=0; i<Q_N_length; i++)
+        {
+            Q_Itmp_N_common[i]=0; //1 if in common, otherwise 0
+
+            for (j=0; j<Q_Ftmp_N_length; j++)
+            {
+                if((int)Q_N[i]==Q_Ftmp_N[j])
+                {
+                    Q_Itmp_N_common[i]=1;
+                    Q_Itmp_N_length--;
+                    break;
+                }
+            }
+        }
+
+        free(Q_Ftmp_N);
+
+        if (Q_Itmp_N_length < I)
+        {
+            fprintf(stderr, "Too many pre-frozen bits.");
+            exit(-1);
+        }
+
+        int* Q_Itmp_N = (int *)malloc(sizeof(int)*Q_Itmp_N_length);
+        if (Q_Itmp_N == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        j=0;
+        for(i=0; i<Q_N_length; i++)
+        {
+            if(!Q_Itmp_N_common[i]) //if not commonc
+            {
+                Q_Itmp_N[j]=(int)Q_N[i];
+                j++;
+            }
+        }
+
+        int* Q_I_N = (int *)malloc(sizeof(int)*(I));
+        if (Q_I_N == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        //Q_I_N=Q_Itmp_N(end-I+1:end);
+        for (j=Q_Itmp_N_length-(I); j<Q_Itmp_N_length; j++)
+        {
+            Q_I_N[j-(Q_Itmp_N_length-(I))]=Q_Itmp_N[j];
+        }
+
+        free(Q_Itmp_N);
+
+        //info_bit_pattern(Q_I_N+1) = true;
+        *info_bit_pattern = (uint8_t *)malloc(sizeof(uint8_t)*Q_N_length);
+        if (*info_bit_pattern == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        for(j=0; j<Q_N_length; j++)
+        {
+            (*info_bit_pattern)[j]=0;
+            for(i=0; i<I; i++)
+            {
+                if(Q_I_N[i]==j)
+                {
+                    (*info_bit_pattern)[j]=1;
+                    break;
+                }
+            }
+        }
+
+        free(Q_I_N);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/get_PC_bit_pattern.c b/openair1/PHY/CODING/nrPolar_tools/get_PC_bit_pattern.c
new file mode 100644
index 0000000000..d00a9f48ed
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/get_PC_bit_pattern.c
@@ -0,0 +1,259 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <stdint.h>
+
+void get_PC_bit_pattern(uint16_t Q_N_length, uint16_t n_PC, uint8_t n_PC_wm, uint16_t* Q_N, uint8_t* info_bit_pattern, uint8_t** PC_bit_pattern)
+{
+//   GET_PC_BIT_PATTERN Obtain the Parity Check (PC) bit pattern,
+//   according to Section 5.3.1.2 of 3GPP TS 38.212
+//
+//   info_bit_pattern should be a vector comprising N number of logical
+//   elements, each having the value true or false. The number of elements
+//   in info_bit_pattern having the value true should be I, where
+//   I = A+P+n_PC. These elements having the value true identify the
+//   positions of the information, CRC and PC bits within the input to the
+//   polar encoder kernal.
+//
+//   Q_N should be a row vector comprising N number of unique integers in the
+//   range 1 to N. Each successive element of Q_N provides the index of the
+//   next most reliable input to the polar encoder kernal, where the first
+//   element of Q_N gives the index of the least reliable bit and the last
+//   element gives the index of the most reliable bit.
+//
+//   n_PC should be an integer scalar. It specifies the number of PC bits to
+//   use, where n_PC should be no greater than I.
+//
+//   n_PC_wm should be an integer scalar. It specifies the number of PC bits
+//   that occupy some of the most reliable positions at the input to the
+//   polar encoder kernal. The remaining n_PC-n_PC_wm PC bits occupy some of
+//   the least reliable positions at the input to the polar encoder kernal.
+//   n_PC_wm should be no greater than n_PC.
+//
+//   PC_bit_pattern will be a vector comprising N number of logical
+//   elements, each having the value true or false. The number of elements
+//   in PC_bit_pattern having the value true will be n_PC.
+//   These elements having the value true identify the positions of the
+//   PC bits within the input to the polar encoder kernal.
+
+        //N = length(info_bit_pattern); -> Q_N_length
+        //I = sum(info_bit_pattern);
+        int totInfoBit =0;
+        int j,i;
+        for (j=0; j<Q_N_length; j++)
+        {
+            if(info_bit_pattern[j])
+                totInfoBit++;
+        }
+
+        if (n_PC > totInfoBit)
+        {
+            fprintf(stderr, "n_PC should be no greater than totInfoBit.");
+            exit(-1);
+        }
+
+        if (n_PC_wm > n_PC)
+        {
+            fprintf(stderr, "n_PC_wm should be no greater than n_PC.");
+            exit(-1);
+        }
+        //Q_I = 1:N;
+        int* Q_I = (int*) malloc(sizeof(int)*Q_N_length);
+        if (Q_I == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        for (j=0; j<Q_N_length; j++)
+        {
+            Q_I[j]=j+1;
+        }
+
+        //Q_N_I = intersect(Q_N, Q_I(info_bit_pattern), 'stable');
+        int Q_N_I_length=0;
+        int* Q_N_common = (int*) malloc(sizeof(int)*Q_N_length);
+        if (Q_N_common == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+
+        for (j=0; j<Q_N_length; j++) //init
+        {
+            Q_N_common[j]=0;
+        }
+
+        for (j=0; j<Q_N_length; j++) //look in Q_I
+        {
+            if(info_bit_pattern[j])
+            {
+                //Q_I(info_bit_pattern)
+                for (i=0; i<Q_N_length; i++) //look in Q_N
+                {
+                    if(Q_N[i]+1==Q_I[j])
+                    {
+                        Q_N_common[i]=1;
+                        Q_N_I_length++;
+                        break;
+                    }
+                }
+            }
+        }
+        free(Q_I);
+
+        int* Q_N_I =  (int*) malloc(sizeof(int)*Q_N_I_length);
+        if (Q_N_I == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        i=0;
+        for(j=0; j<Q_N_length; j++)
+        {
+            if(Q_N_common[j])
+            {
+                Q_N_I[i]=Q_N[j]+1;
+                i++;
+            }
+        }
+
+        free(Q_N_common);
+
+        //int G_N = get_G_N(N);
+        //int w_g = sum(G_N,2);
+        //useless, I do this
+        int* w_g = (int*) malloc(sizeof(int)*Q_N_length);
+        if (w_g == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        w_g[0]=1;
+        w_g[1]=2;
+        int counter=2;
+        int n = log2(Q_N_length);
+
+        for(i=0; i<n-1; i++) //n=log2(N)
+        {
+            for(j=0; j<counter; j++)
+            {
+                w_g[counter+j]=w_g[j]*2;
+            }
+            counter = counter*2;
+        }
+
+        //Q_tilde_N_I = Q_N_I(n_PC+1:end); % This is what it says in TS 38.212
+        int* Q_tilde_N_I = (int*) malloc(sizeof(int)*(Q_N_I_length-n_PC));
+        if (Q_tilde_N_I == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        int* Q_tilde_N_I_flip = (int*) malloc(sizeof(int)*(Q_N_I_length-n_PC));
+        if (Q_tilde_N_I_flip == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        for (i=0; i<Q_N_I_length-n_PC; i++)
+        {
+            Q_tilde_N_I[i]=Q_N_I[n_PC+i];
+            //Q_tilde_N_I_flip = fliplr(Q_tilde_N_I);
+            Q_tilde_N_I_flip[Q_N_I_length-n_PC-i-1] = Q_tilde_N_I[i];
+        }
+        //%Q_tilde_N_I = Q_N_I(n_PC-n_PC_wm+1:end); % I think that this would be slightly more elegant
+
+        //[w_g_sorted, indices] = sort(w_g(Q_tilde_N_I_flip));
+        int* w_g_sorted =  (int*) malloc(sizeof(int)*(Q_N_I_length-n_PC));
+        if (w_g_sorted == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        int* indices =  (int*) malloc(sizeof(int)*(Q_N_I_length-n_PC));
+        if (indices == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        for (i=0; i<Q_N_I_length-n_PC; i++)
+        {
+            w_g_sorted[i]=w_g[Q_tilde_N_I_flip[i]-1]; // w_g(Q_tilde_N_I_flip), yet to sort
+            indices[i] = i;
+        }
+        free(Q_tilde_N_I);
+        free(w_g);
+
+        //bubble sort
+        int tempToSwap=0;
+        for (i = 0; i < (Q_N_I_length-n_PC)-1; i++)
+        {
+            for (j = 0; j < (Q_N_I_length-n_PC)-i-1; j++)
+            {
+                 if (w_g_sorted[j] > w_g_sorted[j+1]) //then swap
+                 {
+                     tempToSwap = w_g_sorted[j];
+                     w_g_sorted[j] = w_g_sorted[j+1];
+                     w_g_sorted[j+1] = tempToSwap;
+
+                     tempToSwap = indices[j];
+                     indices[j] = indices[j+1];
+                     indices[j+1] = tempToSwap;
+                 }
+            }
+        }
+        free(w_g_sorted);
+
+        //Q_N_PC = [Q_N_I(1:n_PC-n_PC_wm), Q_tilde_N_I_flip(indices(1:n_PC_wm))];
+        int* Q_N_PC = (int*) malloc(sizeof(int)*(n_PC));
+        if (Q_N_PC == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+
+        for (i=0; i<n_PC-n_PC_wm; i++)
+        {
+            Q_N_PC[i]=Q_N_I[i]; //Q_N_PC = [Q_N_I(1:n_PC-n_PC_wm), ...
+        }
+        free(Q_N_I);
+
+        for (i=0; i<n_PC_wm; i++)
+        {
+            Q_N_PC[n_PC-n_PC_wm+i] = Q_tilde_N_I_flip[indices[i]];//... Q_tilde_N_I_flip(indices(1:n_PC_wm))];
+        }
+        free(Q_tilde_N_I_flip);
+        free(indices);
+
+        //PC_bit_pattern = false(1,N);
+        //PC_bit_pattern(Q_N_PC) = true;
+        *PC_bit_pattern =  (uint8_t*) malloc(sizeof(uint8_t)*(Q_N_length));
+        if (*PC_bit_pattern == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+
+        for (i=0; i<Q_N_length; i++)
+        {
+            (*PC_bit_pattern)[i]=0;
+            for (j=0; j<n_PC; j++)
+            {
+                if (Q_N_PC[j]-1==i)
+                {
+                    (*PC_bit_pattern)[i]=1;
+                    break;
+                }
+            }
+        }
+
+        //free(Q_I);
+        //free(Q_N_common);
+        //free(Q_N_I);
+        //free(w_g);
+        //free(Q_tilde_N_I);
+        //free(Q_tilde_N_I_flip);
+        //free(w_g_sorted);
+        //free(indices);
+        free(Q_N_PC);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/get_crc_generator_matrix.c b/openair1/PHY/CODING/nrPolar_tools/get_crc_generator_matrix.c
new file mode 100644
index 0000000000..31a4cd9756
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/get_crc_generator_matrix.c
@@ -0,0 +1,79 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <stdint.h>
+
+void get_crc_generator_matrix(uint8_t A, uint8_t P, uint8_t* crc_polynomial_pattern, uint8_t*** G_P)
+{
+//   GET_CRC_GENERATOR_MATRIX Obtain a Cyclic Redudancy Check (CRC) generator
+//   matrix.
+//
+//   A should be an integer scalar. It specifies the number of bits in the
+//   information bit sequence.
+//
+//   crc_polynomial_pattern should be a binary row vector comprising P+1
+//   number of bits, each having the value 0 or 1. These bits parameterise a
+//   Cyclic Redundancy Check (CRC) comprising P bits. Each bit provides the
+//   coefficient of the corresponding element in the CRC generator
+//   polynomial. From left to right, the bits provide the coefficients for
+//   the elements D^P, D^P-1, D^P-2, ..., D^2, D, 1.
+//
+//   G_P will be a K by P binary matrix. The CRC bits can be generated
+//   according to mod(a*G_P,2).
+
+        *G_P = (uint8_t **)malloc(A * sizeof(uint8_t *));
+        if (*G_P == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        int i,j;
+        for (i=0; i<A; i++)
+        {
+            (*G_P)[i] = (uint8_t *)malloc(P * sizeof(uint8_t));
+            if ((*G_P)[i] == NULL)
+            {
+                fprintf(stderr, "malloc failed\n");
+                exit(-1);
+            }
+        }
+
+        if(A>0)
+        {
+            //G_P(end,:) = crc_polynomial_pattern(2:end);
+            for(i=0; i<P; i++)
+            {
+                (*G_P)[A-1][i] = crc_polynomial_pattern[i+1];
+            }
+
+            //for k = A-1:-1:1
+            //    G_P(k,:) = xor([G_P(k+1,2:end),0],G_P(k+1,1)*crc_polynomial_pattern(2:end));
+            //end
+            for(j=A-2; j>-1; j--)
+            {
+                for(i=0; i<P; i++)
+                {
+                    (*G_P)[j][i]=0; //init with zeros
+                }
+
+                for(i=1; i<P; i++)
+                {
+                    if( (*G_P)[j+1][i] != ( (*G_P)[j+1][0])*crc_polynomial_pattern[i]) //xor
+                        (*G_P)[j][i-1]=1;
+                }
+
+                if(0 != ( (*G_P)[j+1][0])*crc_polynomial_pattern[P]) //xor
+                        (*G_P)[j][P-1]=1;
+            }
+        }
+printf("G_P=\n");
+        for(i=0; i<A; i++)
+        {
+            for(j=0; j<P; j++)
+            {
+                printf("%i ", (int)(*G_P)[i][j]);
+            }
+            printf("\n");
+        }
+
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/main_pucch.c b/openair1/PHY/CODING/nrPolar_tools/main_pucch.c
new file mode 100644
index 0000000000..efbf27a5c0
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/main_pucch.c
@@ -0,0 +1,39 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+
+#include "nr_polar_defs.h"
+#include "nr_polar_pucch_defs.h"
+
+void PUCCH_encoder(uint8_t a[], uint8_t A, uint8_t G, uint16_t* E_r, uint8_t** f);
+
+int main()
+{
+    uint16_t E_r;
+    uint8_t* f;
+    uint8_t A=32; //16, 32, 64, 128, 256, 512, 1024 Payload length
+    uint8_t G = 54; //, 108, 216, 432, 864, 1728, 3456, 6912, 13824}; encoded block length
+
+    uint8_t j;
+
+    uint8_t* a = (uint8_t *)malloc(sizeof(uint8_t)*A);
+    if (a == NULL)
+    {
+        fprintf(stderr, "malloc failed\n");
+        exit(-1);
+    }
+
+    printf("DEBUG: Send ");
+    for (j=0; j<A; j++) //create the message to encode
+    {
+        //a[j]=rand()%2;
+        a[j]=1; // ONLY ONES FOR TEST, otherwise random
+        printf("%i", a[j]);
+    }
+    printf("\n");
+
+    PUCCH_encoder(a, A, G, &E_r, &f);
+
+
+    return 0;
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_bitwise_operations.c b/openair1/PHY/CODING/nrPolar_tools/nr_bitwise_operations.c
new file mode 100644
index 0000000000..6e17386ca6
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_bitwise_operations.c
@@ -0,0 +1,16 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_byte2bit(uint8_t *array, uint8_t arraySize, uint8_t *bitArray){//First 2 parameters are in bytes.
+
+	for (int i=0; i<arraySize; i++){
+		bitArray[(7+(i*8))] = ( array[i]>>0 & 0x01);
+		bitArray[(6+(i*8))] = ( array[i]>>1 & 0x01);
+		bitArray[(5+(i*8))] = ( array[i]>>2 & 0x01);
+		bitArray[(4+(i*8))] = ( array[i]>>3 & 0x01);
+		bitArray[(3+(i*8))] = ( array[i]>>4 & 0x01);
+		bitArray[(2+(i*8))] = ( array[i]>>5 & 0x01);
+		bitArray[(1+(i*8))] = ( array[i]>>6 & 0x01);
+		bitArray[  (i*8)  ] = ( array[i]>>7 & 0x01);
+	}
+
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_crc_byte.c b/openair1/PHY/CODING/nrPolar_tools/nr_crc_byte.c
new file mode 100644
index 0000000000..abe918bc3f
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_crc_byte.c
@@ -0,0 +1,374 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+/*ref 38-212 v15.0.0, pp 8-9 */
+/* the highest degree is set by default */
+unsigned int poly24a = 0x864cfb00; // 1000 0110 0100 1100 1111 1011 D^24 + D^23 + D^18 + D^17 + D^14 + D^11 + D^10 + D^7 + D^6 + D^5 + D^4 + D^3 + D + 1
+unsigned int poly24b = 0x80006300; // 1000 0000 0000 0000 0110 0011 D^24 + D^23 + D^6 + D^5 + D + 1
+unsigned int poly24c = 0xb2b11700; // 1011 0010 1011 0001 0001 0111 D^24 + D^23 + D^21 + D^20 + D^17 + D^15 + D^13 + D^12 + D^8 + D^4 + D^2 + D + 1
+unsigned int poly16 = 0x10210000;  // 0001 0000 0010 0001           D^16 + D^12 + D^5 + 1
+unsigned int poly11 = 0xe2100000;  // 1110 0010 0001 				D^11 + D^10 + D^9 + D^5 + 1
+unsigned int poly6 = 0x61000000;   // 0110 0001 					D^6 + D^5 + 1
+/*********************************************************
+
+For initialization && verification purposes,
+   bit by bit implementation with any polynomial
+
+The first bit is in the MSB of each byte
+
+*********************************************************/
+unsigned int crcbit (unsigned char * inputptr, int octetlen, unsigned int poly)
+{
+  unsigned int i, crc = 0, c;
+
+  while (octetlen-- > 0) {
+    c = (*inputptr++) << 24;
+
+    for (i = 8; i != 0; i--) {
+      if ((1 << 31) & (c ^ crc))
+        crc = (crc << 1) ^ poly;
+      else
+        crc <<= 1;
+
+      c <<= 1;
+    }
+  }
+
+  return crc;
+}
+
+/*********************************************************
+
+crc table initialization
+
+*********************************************************/
+static unsigned int      crc24aTable[256];
+static unsigned int      crc24bTable[256];
+static unsigned int      crc24cTable[256];
+static unsigned short    crc16Table[256];
+static unsigned short    crc11Table[256];
+static unsigned char     crc6Table[256];
+
+void crcTableInit (void)
+{
+  unsigned char c = 0;
+
+  do {
+    crc24aTable[c] = crcbit (&c, 1, poly24a);
+    crc24bTable[c] = crcbit (&c, 1, poly24b);
+    crc24cTable[c] = crcbit (&c, 1, poly24c);
+    crc16Table[c] = (unsigned short) (crcbit (&c, 1, poly16) >> 16);
+    crc11Table[c] = (unsigned short) (crcbit (&c, 1, poly11) >> 16);
+    crc6Table[c] = (unsigned char) (crcbit (&c, 1, poly6) >> 24);
+  } while (++c);
+}
+/*********************************************************
+
+Byte by byte implementations,
+assuming initial byte is 0 padded (in MSB) if necessary
+
+*********************************************************/
+unsigned int crc24a (unsigned char * inptr, int bitlen)
+{
+
+  int octetlen, resbit;
+  unsigned int crc = 0;
+  octetlen = bitlen / 8;        /* Change in octets */
+  resbit = (bitlen % 8);
+
+  while (octetlen-- > 0) {
+    //    printf("in %x => crc %x\n",crc,*inptr);
+    crc = (crc << 8) ^ crc24aTable[(*inptr++) ^ (crc >> 24)];
+  }
+
+  if (resbit > 0)
+    crc = (crc << resbit) ^ crc24aTable[((*inptr) >> (8 - resbit)) ^ (crc >> (32 - resbit))];
+
+  return crc;
+}
+
+unsigned int crc24b (unsigned char * inptr, int bitlen)
+{
+
+  int octetlen, resbit;
+  unsigned int crc = 0;
+  octetlen = bitlen / 8;
+  resbit = (bitlen % 8);
+
+  while (octetlen-- > 0) {
+    crc = (crc << 8) ^ crc24bTable[(*inptr++) ^ (crc >> 24)];
+  }
+
+  if (resbit > 0)
+    crc = (crc << resbit) ^ crc24bTable[((*inptr) >> (8 - resbit)) ^ (crc >> (32 - resbit))];
+
+  return crc;
+}
+
+unsigned int crc24c (unsigned char * inptr, int bitlen)
+{
+
+  int octetlen, resbit;
+  unsigned int  crc = 0;
+  octetlen = bitlen / 8;
+  resbit = (bitlen % 8);
+
+  while (octetlen-- > 0) {
+    crc = (crc << 8) ^ crc24cTable[(*inptr++) ^ (crc >> 24)];
+  }
+
+  if (resbit > 0)
+    crc = (crc << resbit) ^ crc24cTable[((*inptr) >> (8 - resbit)) ^ (crc >> (32 - resbit))];
+
+  return crc;
+}
+
+unsigned int crc16 (unsigned char * inptr, int bitlen)
+{
+  int octetlen, resbit;
+  unsigned int crc = 0;
+  octetlen = bitlen / 8;        /* Change in octets */
+  resbit = (bitlen % 8);
+
+  while (octetlen-- > 0) {
+
+    crc = (crc << 8) ^ (crc16Table[(*inptr++) ^ (crc >> 24)] << 16);
+  }
+
+  if (resbit > 0)
+    crc = (crc << resbit) ^ (crc16Table[((*inptr) >> (8 - resbit)) ^ (crc >> (32 - resbit))] << 16);
+
+  return crc;
+}
+
+unsigned int crc11 (unsigned char * inptr, int bitlen)
+{
+  int octetlen, resbit;
+  unsigned int             crc = 0;
+  octetlen = bitlen / 8;        /* Change in octets */
+  resbit = (bitlen % 8);
+
+  while (octetlen-- > 0) {
+    crc = (crc << 8) ^ (crc11Table[(*inptr++) ^ (crc >> 24)] << 16);
+  }
+
+  if (resbit > 0)
+    crc = (crc << resbit) ^ (crc11Table[((*inptr) >> (8 - resbit)) ^ (crc >> (32 - resbit))] << 16);
+
+  return crc;
+}
+
+unsigned int crc6 (unsigned char * inptr, int bitlen)
+{
+  int octetlen, resbit;
+  unsigned int crc = 0;
+  octetlen = bitlen / 8;        /* Change in octets */
+  resbit = (bitlen % 8);
+
+  while (octetlen-- > 0) {
+    crc = crc6Table[(*inptr++) ^ (crc >> 24)] << 24;
+  }
+
+  if (resbit > 0)
+    crc = (crc << resbit) ^ (crc6Table[((*inptr) >> (8 - resbit)) ^ (crc >> (32 - resbit))] << 24);
+
+  return crc;
+}
+
+uint8_t check_crc(uint8_t *decoded_bytes, uint16_t len, uint8_t crc_type)
+{
+  uint8_t crc_len,temp;
+  uint16_t oldcrc,crc;
+
+  switch (crc_type) {
+
+  case 0: //CRC24_A:
+  case 1: //CRC24_B:
+    crc_len=3;
+    break;
+
+  case 2: //CRC16:
+    crc_len=2;
+    break;
+
+  case 3: //CRC8:
+    crc_len=1;
+    break;
+
+  default:
+    crc_len=3;
+  }
+
+  // check the CRC
+  oldcrc= *((unsigned int *)(&decoded_bytes[(len>>3)-crc_len]));
+
+      switch (crc_type) {
+
+      case 0: //CRC24_A:
+        oldcrc&=0x00ffffff;
+        crc = crc24a(decoded_bytes,len-24)>>8;
+        temp=((uint8_t *)&crc)[2];
+        ((uint8_t *)&crc)[2] = ((uint8_t *)&crc)[0];
+        ((uint8_t *)&crc)[0] = temp;
+        break;
+
+      case 1: //CRC24_B:
+        oldcrc&=0x00ffffff;
+        crc = crc24b(decoded_bytes,len-24)>>8;
+        temp=((uint8_t *)&crc)[2];
+        ((uint8_t *)&crc)[2] = ((uint8_t *)&crc)[0];
+        ((uint8_t *)&crc)[0] = temp;
+        break;
+
+      case 2: //CRC16:
+        oldcrc&=0x0000ffff;
+        crc = crc16(decoded_bytes,len-16)>>16;
+        break;
+
+      case 3: //CRC8:
+        oldcrc&=0x000000ff;
+        crc = crc6(decoded_bytes,len-8)>>24;
+        break;
+
+      default:
+        printf("FATAL: Unknown CRC\n");
+        return(255);
+        break;
+      }
+
+      printf("old CRC %x, CRC %x \n",oldcrc,crc);
+      return (crc == oldcrc); 
+}
+
+uint8_t **crc24c_generator_matrix(uint16_t payloadSizeBits){
+
+	uint8_t crcPolynomialPattern[25] = {1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1};
+	// 1011 0010 1011 0001 0001 0111 D^24 + D^23 + D^21 + D^20 + D^17 + D^15 + D^13 + D^12 + D^8 + D^4 + D^2 + D + 1
+	uint8_t crcPolynomialSize = 24;// 24 because crc24c
+	uint8_t temp1[crcPolynomialSize], temp2[crcPolynomialSize];
+
+	uint8_t **crc_generator_matrix = malloc(payloadSizeBits * sizeof(uint8_t *));
+	if (crc_generator_matrix)
+	{
+	  for (int i = 0; i < payloadSizeBits; i++)
+	  {
+		  crc_generator_matrix[i] = malloc(crcPolynomialSize * sizeof(uint8_t));
+	  }
+	}
+
+	for (int i = 0; i < crcPolynomialSize; i++) crc_generator_matrix[payloadSizeBits-1][i]=crcPolynomialPattern[i+1];
+
+	for (int i = payloadSizeBits-2; i >= 0; i--){
+
+		for (int j = 0; j < crcPolynomialSize-1; j++) temp1[j]=crc_generator_matrix[i+1][j+1];
+		temp1[crcPolynomialSize-1]=0;
+
+		for (int j = 0; j < crcPolynomialSize; j++) temp2[j]=crc_generator_matrix[i+1][0]*crcPolynomialPattern[j+1];
+
+		for (int j = 0; j < crcPolynomialSize; j++){
+			if(temp1[j]+temp2[j] == 1){
+				crc_generator_matrix[i][j]=1;
+			} else {
+				crc_generator_matrix[i][j]=0;
+			}
+		}
+
+	}
+
+	return crc_generator_matrix;
+}
+
+uint8_t **crc11_generator_matrix(uint16_t payloadSizeBits){
+
+	uint8_t crcPolynomialPattern[12] = {1,1,1,0,0,0,1,0,0,0,0,1};
+	// 1110 0010 0001 D^11 + D^10 + D^9 + D^5 + 1
+	uint8_t crcPolynomialSize = 11;
+	uint8_t temp1[crcPolynomialSize], temp2[crcPolynomialSize];
+
+	uint8_t **crc_generator_matrix = malloc(payloadSizeBits * sizeof(uint8_t *));
+	if (crc_generator_matrix)
+	{
+	  for (int i = 0; i < payloadSizeBits; i++)
+	  {
+		  crc_generator_matrix[i] = malloc(crcPolynomialSize * sizeof(uint8_t));
+	  }
+	}
+
+	for (int i = 0; i < crcPolynomialSize; i++) crc_generator_matrix[payloadSizeBits-1][i]=crcPolynomialPattern[i+1];
+
+	for (int i = payloadSizeBits-2; i >= 0; i--){
+
+		for (int j = 0; j < crcPolynomialSize-1; j++) temp1[j]=crc_generator_matrix[i+1][j+1];
+		temp1[crcPolynomialSize-1]=0;
+
+		for (int j = 0; j < crcPolynomialSize; j++) temp2[j]=crc_generator_matrix[i+1][0]*crcPolynomialPattern[j+1];
+
+		for (int j = 0; j < crcPolynomialSize; j++){
+			if(temp1[j]+temp2[j] == 1){
+				crc_generator_matrix[i][j]=1;
+			} else {
+				crc_generator_matrix[i][j]=0;
+			}
+		}
+
+	}
+
+	return crc_generator_matrix;
+}
+
+uint8_t **crc6_generator_matrix(uint16_t payloadSizeBits){
+
+	uint8_t crcPolynomialPattern[7] = {1,1,0,0,0,0,1};
+	// 0110 0001 D^6 + D^5 + 1
+	uint8_t crcPolynomialSize = 6;
+	uint8_t temp1[crcPolynomialSize], temp2[crcPolynomialSize];
+
+	uint8_t **crc_generator_matrix = malloc(payloadSizeBits * sizeof(uint8_t *));
+	if (crc_generator_matrix)
+	{
+	  for (int i = 0; i < payloadSizeBits; i++)
+	  {
+		  crc_generator_matrix[i] = malloc(crcPolynomialSize * sizeof(uint8_t));
+	  }
+	}
+
+	for (int i = 0; i < crcPolynomialSize; i++) crc_generator_matrix[payloadSizeBits-1][i]=crcPolynomialPattern[i+1];
+
+	for (int i = payloadSizeBits-2; i >= 0; i--){
+
+		for (int j = 0; j < crcPolynomialSize-1; j++) temp1[j]=crc_generator_matrix[i+1][j+1];
+		temp1[crcPolynomialSize-1]=0;
+
+		for (int j = 0; j < crcPolynomialSize; j++) temp2[j]=crc_generator_matrix[i+1][0]*crcPolynomialPattern[j+1];
+
+		for (int j = 0; j < crcPolynomialSize; j++){
+			if(temp1[j]+temp2[j] == 1){
+				crc_generator_matrix[i][j]=1;
+			} else {
+				crc_generator_matrix[i][j]=0;
+			}
+		}
+
+	}
+
+	return crc_generator_matrix;
+}
+
+
+#ifdef DEBUG_CRC
+/*******************************************************************/
+/**   Test code
+/*******************************************************************/
+
+#include <stdio.h>
+
+main()
+{
+  unsigned char test[] = "Thebigredfox";
+  crcTableInit();
+  printf("%x\n", crcbit(test, sizeof(test) - 1, poly24a));
+  printf("%x\n", crc24a(test, (sizeof(test) - 1)*8));
+  printf("%x\n", crcbit(test, sizeof(test) - 1, poly6));
+  printf("%x\n", crc6(test, (sizeof(test) - 1)*8));
+}
+#endif
+
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion.c
new file mode 100644
index 0000000000..52fdf6ca46
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion.c
@@ -0,0 +1,31 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_polar_bit_insertion(uint8_t *input, uint8_t *output, uint16_t N, uint16_t K,
+		uint16_t *Q_I_N, uint16_t *Q_PC_N, uint8_t n_PC){
+
+	uint16_t k=0;
+	uint8_t flag;
+
+	if (n_PC>0) {
+		/*
+		 *
+		 */
+	} else {
+		for (int n=0; n<=N-1; n++) {
+			flag=0;
+			for (int m=0; m<=(K+n_PC)-1; m++) {
+				if ( n == Q_I_N[m]) {
+					flag=1;
+					break;
+				}
+			}
+			if (flag) { // n ϵ Q_I_N
+				output[n]=input[k];
+				k++;
+			} else {
+				output[n] = 0;
+			}
+		}
+	}
+
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion_2.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion_2.c
new file mode 100644
index 0000000000..1a7c1264b5
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_bit_insertion_2.c
@@ -0,0 +1,63 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <stdint.h>
+
+void nr_polar_bit_insertion_2(uint8_t* u, uint8_t* b, uint8_t* info_bit_pattern, uint8_t* PC_bit_pattern, uint16_t N)
+{
+        int PC_circular_buffer_length=5;
+
+        int i, j;
+        int k=0;
+
+        int* y = (int*) malloc(sizeof(int)*PC_circular_buffer_length);
+        if (y == NULL)
+        {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        for(i=0; i<PC_circular_buffer_length; i++)
+        {
+            y[i]=0;
+        }
+
+        int tempToShift;
+        //for n=0:N-1
+        printf("u = ");
+        for(i=0; i<N; i++)
+        {
+            //y = [y(2:end),y(1)];
+            tempToShift=y[0];
+            for (j=0; j<PC_circular_buffer_length-1; j++)
+            {
+                y[j]=y[j+1];
+            }
+            y[PC_circular_buffer_length-1]=tempToShift;
+
+            //if info_bit_pattern(n+1)
+            //    if PC_bit_pattern(n+1)
+            //        u(n+1) = y(1);
+            //    else
+            //        u(n+1) = b(k+1);
+            //        k=k+1;
+            //        y(1) = xor(y(1),u(n+1));
+            if (info_bit_pattern[i])
+            {
+                if (PC_bit_pattern[i])
+                {
+                    u[i] = y[1];
+                } else
+                {
+                    u[i] = b[k];
+                    k++;
+                    y[1] = ( y[1]!=u[i]);
+                }
+            } else
+            {
+                u[i]=0;
+            }
+            printf("%i ", u[i]);
+        }
+
+        free(y);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_channel_interleaver_pattern.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_channel_interleaver_pattern.c
new file mode 100644
index 0000000000..c0dce671bf
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_channel_interleaver_pattern.c
@@ -0,0 +1,42 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_polar_channel_interleaver_pattern(uint16_t *cip, uint8_t I_BIL, uint16_t E){
+	
+	if (I_BIL == 1) {
+		uint16_t T=0, k;
+		while( ((T/2)*(T+1)) < E ) T++;
+		
+		
+		int16_t **v = malloc(T * sizeof(*v));
+		for (int i = 0; i <= T-1; i++) v[i] = malloc((T-i) * sizeof(*(v[i])));
+		
+		k=0;
+		for (int i = 0; i <= T-1; i++) {
+			for (int j = 0; j <= (T-1)-i; j++) {
+				if (k<E) {
+					v[i][j] = k;
+				} else {
+					v[i][j] = (-1);
+				}
+				k++;					
+			}
+		}
+		
+		k=0;
+		for (int j = 0; j <= T-1; j++) {
+					for (int i = 0; i <= (T-1)-j; i++) {
+						if ( v[i][j] != (-1) ) {
+							cip[k]=v[i][j];
+							k++;
+						}
+					}
+				}
+		
+		for (int i = 0; i <= T-1; i++) free(v[i]);
+		free(v);
+		
+	} else {
+		for (int i=0; i<=E-1; i++) cip[i]=i;
+	}
+	
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_crc.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_crc.c
new file mode 100644
index 0000000000..fe5e400beb
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_crc.c
@@ -0,0 +1,46 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <stdint.h>
+
+void nr_polar_crc(uint8_t* a, uint8_t A, uint8_t P, uint8_t** G_P, uint8_t** b)
+{
+    int i, j;
+    int* temp_b = (int*) malloc(sizeof(int)*P);
+    if (temp_b == NULL)
+    {
+        fprintf(stderr, "malloc failed\n");
+        exit(-1);
+    }
+    printf("temp = ");
+    for(i=0; i<P; i++)
+    {
+        temp_b[i]=0;
+        for(j=0; j<A; j++)
+        {
+            temp_b[i]=temp_b[i] + a[j]*G_P[j][i];
+        }
+        temp_b[i]=temp_b[i]%2;
+        printf("%i ", temp_b[i]);
+    }
+
+    *b = (uint8_t*) malloc(sizeof(uint8_t)*(A+P));
+    if (*b == NULL)
+    {
+        fprintf(stderr, "malloc failed\n");
+        exit(-1);
+    }
+    printf("\nb = ");
+    for(i=0; i<A; i++)
+    {
+        (*b)[i]=a[i];
+        printf("%i", (*b)[i]);
+    }
+    for(i=A; i<A+P; i++)
+    {
+        (*b)[i]=temp_b[i-A];
+        printf("%i", (*b)[i]);
+    }
+
+    free(temp_b);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_decoder.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_decoder.c
new file mode 100644
index 0000000000..63248c6162
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_decoder.c
@@ -0,0 +1,254 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+#include "PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h"
+
+/*
+ * Return values:
+ *  0 --> Success
+ * -1 --> All list entries have failed the CRC checks
+ */
+
+int8_t polar_decoder(double *input, uint8_t *output, t_nrPolar_params *polarParams, uint8_t listSize,
+		double *aPrioriPayload, uint8_t pathMetricAppr){
+
+	uint8_t ***bit = nr_alloc_uint8_t_3D_array(polarParams->N, (polarParams->n+1), 2*listSize);
+	uint8_t **bitUpdated = nr_alloc_uint8_t_2D_array(polarParams->N, (polarParams->n+1)); //0=False, 1=True
+	uint8_t **llrUpdated = nr_alloc_uint8_t_2D_array(polarParams->N, (polarParams->n+1)); //0=False, 1=True
+	double ***llr = nr_alloc_double_3D_array(polarParams->N, (polarParams->n+1), 2*listSize);
+	uint8_t **crcChecksum = nr_alloc_uint8_t_2D_array(polarParams->crcParityBits, 2*listSize);
+	double *pathMetric = malloc(sizeof(double)*(2*listSize));
+	uint8_t *crcState = malloc(sizeof(uint8_t)*(2*listSize)); //0=False, 1=True
+
+	for (int i=0; i<(2*listSize); i++) {
+		pathMetric[i] = 0;
+		crcState[i]=1;
+	}
+	for (int i=0; i<polarParams->N; i++) {
+		llrUpdated[i][polarParams->n]=1;
+		bitUpdated[i][0]=((polarParams->information_bit_pattern[i]+1) % 2);
+	}
+
+	uint8_t **crc_generator_matrix=crc24c_generator_matrix(polarParams->payloadBits); //G_P
+
+	uint8_t **extended_crc_generator_matrix = malloc(polarParams->K * sizeof(uint8_t *)); //G_P3
+	uint8_t **tempECGM = malloc(polarParams->K * sizeof(uint8_t *)); //G_P2
+	for (int i = 0; i < polarParams->K; i++){
+		extended_crc_generator_matrix[i] = malloc(polarParams->crcParityBits * sizeof(uint8_t));
+		tempECGM[i] = malloc(polarParams->crcParityBits * sizeof(uint8_t));
+	}
+
+	for (int i=0; i<polarParams->payloadBits; i++) {
+		for (int j=0; j<polarParams->crcParityBits; j++) {
+			tempECGM[i][j]=crc_generator_matrix[i][j];
+		}
+	}
+	for (int i=polarParams->payloadBits; i<polarParams->K; i++) {
+			for (int j=0; j<polarParams->crcParityBits; j++) {
+				if( (i-polarParams->payloadBits) == j ){
+					tempECGM[i][j]=1;
+				} else {
+					tempECGM[i][j]=0;
+				}
+			}
+	}
+
+	for (int i=0; i<polarParams->K; i++) {
+		for (int j=0; j<polarParams->crcParityBits; j++) {
+			extended_crc_generator_matrix[i][j]=tempECGM[polarParams->interleaving_pattern[i]][j];
+		}
+	}
+
+	//The index of the last 1-valued bit that appears in each column.
+	uint16_t last1ind[polarParams->crcParityBits];
+	for (int j=0; j<polarParams->crcParityBits; j++) {
+			for (int i=0; i<polarParams->K; i++) {
+				if (extended_crc_generator_matrix[i][j]==1) last1ind[j]=i;
+			}
+	}
+
+	double *d_tilde = malloc(sizeof(double) * polarParams->N);
+	nr_polar_rate_matching(input, d_tilde, polarParams->rate_matching_pattern, polarParams->K, polarParams->N, polarParams->encoderLength);
+	for (int j = 0; j < polarParams->N; j++) llr[j][polarParams->n][0]=d_tilde[j];
+
+
+	/*
+	 * SCL polar decoder.
+	 */
+
+	uint32_t nonFrozenBit=0;
+	uint8_t currentListSize=1;
+	uint8_t decoderIterationCheck=0;
+	int16_t checkCrcBits=-1;
+	uint8_t listIndex[2*listSize], copyIndex;
+
+	for (uint16_t currentBit=0; currentBit<polarParams->N; currentBit++){
+		updateLLR(llr, llrUpdated, bit, bitUpdated, currentListSize, currentBit, 0, polarParams->N, (polarParams->n+1), pathMetricAppr);
+		if (polarParams->information_bit_pattern[currentBit]==0) { //Frozen bit.
+			updatePathMetric(pathMetric, llr, currentListSize, 0, currentBit, pathMetricAppr); //approximation=0 --> 11b, approximation=1 --> 12
+		} else { //Information or CRC bit.
+			if ( (polarParams->interleaving_pattern[nonFrozenBit] <= polarParams->payloadBits) && (aPrioriPayload[polarParams->interleaving_pattern[nonFrozenBit]] == 0) ) {
+				//Information bit with known value of "0".
+				updatePathMetric(pathMetric, llr, currentListSize, 0, currentBit, pathMetricAppr);
+				bitUpdated[currentBit][0]=1; //0=False, 1=True
+			} else if ( (polarParams->interleaving_pattern[nonFrozenBit] <= polarParams->payloadBits) && (aPrioriPayload[polarParams->interleaving_pattern[nonFrozenBit]] == 1) ) {
+				//Information bit with known value of "1".
+				updatePathMetric(pathMetric, llr, currentListSize, 1, currentBit, pathMetricAppr);
+				for (uint8_t i=0; i<currentListSize; i++) bit[currentBit][0][i]=1;
+				bitUpdated[currentBit][0]=1;
+				updateCrcChecksum(crcChecksum, extended_crc_generator_matrix, currentListSize, nonFrozenBit, polarParams->crcParityBits);
+			} else {
+				updatePathMetric2(pathMetric, llr, currentListSize, currentBit, pathMetricAppr);
+
+				for (int i = 0; i < currentListSize; i++) {
+					for (int j = 0; j < polarParams->N; j++) {
+						for (int k = 0; k < (polarParams->n+1); k++) {
+							bit[j][k][i+currentListSize]=bit[j][k][i];
+							llr[j][k][i+currentListSize]=llr[j][k][i];}}}
+				for (int i = 0; i < currentListSize; i++) {
+					bit[currentBit][0][i]=0;
+					crcState[i+currentListSize]=crcState[i];
+				}
+				for (int i = currentListSize; i < 2*currentListSize; i++) bit[currentBit][0][i]=1;
+				bitUpdated[currentBit][0]=1;
+				updateCrcChecksum2(crcChecksum, extended_crc_generator_matrix, currentListSize, nonFrozenBit, polarParams->crcParityBits);
+				currentListSize*=2;
+
+				//Keep only the best "listSize" number of entries.
+				if (currentListSize > listSize) {
+					for (uint8_t i = 0; i < 2*listSize; i++) listIndex[i]=i;
+					nr_sort_asc_double_1D_array_ind(pathMetric, listIndex, currentListSize);
+
+					//sort listIndex[listSize, ..., 2*listSize-1] in descending order.
+					uint8_t swaps, tempInd;
+					for (uint8_t i = 0; i < listSize; i++) {
+						swaps = 0;
+						for (uint8_t j = listSize; j < (2*listSize - i) - 1; j++) {
+							if (listIndex[j+1] > listIndex[j]) {
+								tempInd = listIndex[j];
+								listIndex[j] = listIndex[j + 1];
+								listIndex[j + 1] = tempInd;
+								swaps++;
+							}
+						}
+						if (swaps == 0)
+							break;
+					}
+
+					//First, backup the best "listSize" number of entries.
+					for (int k=(listSize-1); k>0; k--) {
+						for (int i=0; i<polarParams->N; i++) {
+							for (int j=0; j<(polarParams->n+1); j++) {
+								bit[i][j][listIndex[(2*listSize-1)-k]]=bit[i][j][listIndex[k]];
+								llr[i][j][listIndex[(2*listSize-1)-k]]=llr[i][j][listIndex[k]];
+							}
+						}
+					}
+					for (int k=(listSize-1); k>0; k--) {
+						for (int i = 0; i < polarParams->crcParityBits; i++) {
+							crcChecksum[i][listIndex[(2*listSize-1)-k]] = crcChecksum[i][listIndex[k]];
+						}
+					}
+					for (int k=(listSize-1); k>0; k--) crcState[listIndex[(2*listSize-1)-k]]=crcState[listIndex[k]];
+
+					//Copy the best "listSize" number of entries to the first indices.
+					for (int k = 0; k < listSize; k++) {
+						if (k > listIndex[k]) {
+							copyIndex = listIndex[(2*listSize-1)-k];
+						} else { //Use the backup.
+							copyIndex = listIndex[k];
+						}
+						for (int i = 0; i < polarParams->N; i++) {
+							for (int j = 0; j < (polarParams->n + 1); j++) {
+								bit[i][j][k] = bit[i][j][copyIndex];
+								llr[i][j][k] = llr[i][j][copyIndex];
+							}
+						}
+					}
+					for (int k = 0; k < listSize; k++) {
+						if (k > listIndex[k]) {
+							copyIndex = listIndex[(2*listSize-1)-k];
+						} else { //Use the backup.
+							copyIndex = listIndex[k];
+						}
+						for (int i = 0; i < polarParams->crcParityBits; i++) {
+							crcChecksum[i][k]=crcChecksum[i][copyIndex];
+						}
+					}
+					for (int k = 0; k < listSize; k++) {
+						if (k > listIndex[k]) {
+							copyIndex = listIndex[(2*listSize-1)-k];
+						} else { //Use the backup.
+							copyIndex = listIndex[k];
+						}
+						crcState[k]=crcState[copyIndex];
+					}
+					currentListSize = listSize;
+				}
+			}
+
+			for (int i=0; i<polarParams->crcParityBits; i++) {
+				if (last1ind[i]==nonFrozenBit) {
+					checkCrcBits=i;
+					break;
+				}
+			}
+
+			if ( checkCrcBits > (-1) ) {
+				for (uint8_t i = 0; i < currentListSize; i++) {
+					if (crcChecksum[checkCrcBits][i]==1) {
+						crcState[i]=0; //0=False, 1=True
+					}
+				}
+			}
+
+			for (uint8_t i = 0; i < currentListSize; i++) decoderIterationCheck+=crcState[i];
+			if (decoderIterationCheck==0) {
+				//perror("[SCL polar decoder] All list entries have failed the CRC checks.");
+				free(crc_generator_matrix);
+				free(d_tilde);
+				free(pathMetric);
+				nr_free_uint8_t_3D_array(bit, polarParams->N, (polarParams->n+1));
+				nr_free_double_3D_array(llr, polarParams->N, (polarParams->n+1));
+				nr_free_uint8_t_2D_array(crcChecksum, polarParams->crcParityBits);
+				return(-1);
+			}
+
+			nonFrozenBit++;
+			decoderIterationCheck=0;
+			checkCrcBits=-1;
+		}
+	}
+
+	for (uint8_t i = 0; i < 2*listSize; i++) listIndex[i]=i;
+	nr_sort_asc_double_1D_array_ind(pathMetric, listIndex, currentListSize);
+
+	uint8_t *nr_polar_uHat = malloc(sizeof(uint8_t) * polarParams->N);
+	uint8_t *nr_polar_cHat = malloc(sizeof(uint8_t) * polarParams->K);
+	uint8_t *nr_polar_bHat = malloc(sizeof(uint8_t) * polarParams->K);
+	for (uint8_t i = 0; i < fmin(listSize, (pow(2,polarParams->crcCorrectionBits)) ); i++) {
+		if ( crcState[listIndex[i]] == 1 ) {
+			for (int j = 0; j < polarParams->N; j++) nr_polar_uHat[j]=bit[j][0][listIndex[i]];
+
+			//Extract the information bits (û to ĉ)
+			nr_polar_info_bit_extraction(nr_polar_uHat, nr_polar_cHat, polarParams->information_bit_pattern, polarParams->N);
+
+			//Deinterleaving (ĉ to b)
+			nr_polar_deinterleaver(nr_polar_cHat, nr_polar_bHat, polarParams->interleaving_pattern, polarParams->K);
+
+			//Remove the CRC (â)
+			for (int j = 0; j < polarParams->payloadBits; j++) output[j]=nr_polar_bHat[j];
+
+			break;
+		}
+	}
+
+	free(crc_generator_matrix);
+	free(d_tilde);
+	free(pathMetric);
+	free(nr_polar_uHat);
+	free(nr_polar_cHat);
+	free(nr_polar_bHat);
+	nr_free_uint8_t_3D_array(bit, polarParams->N, (polarParams->n+1));
+	nr_free_double_3D_array(llr, polarParams->N, (polarParams->n+1));
+	nr_free_uint8_t_2D_array(crcChecksum, polarParams->crcParityBits);
+	return(0);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_decoding_tools.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_decoding_tools.c
new file mode 100644
index 0000000000..4555f8c3ba
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_decoding_tools.c
@@ -0,0 +1,115 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void updateLLR(double ***llr, uint8_t **llrU, uint8_t ***bit, uint8_t **bitU,
+		uint8_t listSize, uint16_t row, uint16_t col, uint16_t xlen, uint8_t ylen, uint8_t approximation) {
+	uint16_t offset = (xlen/(pow(2,(ylen-col-1))));
+	for (uint8_t i=0; i<listSize; i++) {
+		if (( (row) % (2*offset) ) >= offset ) {
+			if(bitU[row-offset][col]==0) updateBit(bit, bitU, listSize, (row-offset), col, xlen, ylen);
+			if(llrU[row-offset][col+1]==0) updateLLR(llr, llrU, bit, bitU, listSize, (row-offset), (col+1), xlen, ylen, approximation);
+			if(llrU[row][col+1]==0) updateLLR(llr, llrU, bit, bitU, listSize, row, (col+1), xlen, ylen, approximation);
+			llr[row][col][i] = (pow((-1),bit[row-offset][col][i])*llr[row-offset][col+1][i]) + llr[row][col+1][i];
+		} else {
+			if(llrU[row][col+1]==0) updateLLR(llr, llrU, bit, bitU, listSize, row, (col+1), xlen, ylen, approximation);
+			if(llrU[row+offset][col+1]==0) updateLLR(llr, llrU, bit, bitU, listSize, (row+offset), (col+1), xlen, ylen, approximation);
+			computeLLR(llr, row, col, i, offset, approximation);
+		}
+	}
+
+	llrU[row][col]=1;
+}
+
+void updateBit(uint8_t ***bit, uint8_t **bitU, uint8_t listSize, uint16_t row,
+		uint16_t col, uint16_t xlen, uint8_t ylen) {
+	uint16_t offset = ( xlen/(pow(2,(ylen-col))) );
+
+	for (uint8_t i=0; i<listSize; i++) {
+		if (( (row) % (2*offset) ) >= offset ) {
+			if (bitU[row][col-1]==0) updateBit(bit, bitU, listSize, row, (col-1), xlen, ylen);
+			bit[row][col][i] = bit[row][col-1][i];
+		} else {
+			if (bitU[row][col-1]==0) updateBit(bit, bitU, listSize, row, (col-1), xlen, ylen);
+			if (bitU[row+offset][col-1]==0) updateBit(bit, bitU, listSize, (row+offset), (col-1), xlen, ylen);
+			bit[row][col][i] = ( (bit[row][col-1][i]+bit[row+offset][col-1][i]) % 2);
+		}
+	}
+
+	bitU[row][col]=1;
+}
+
+void updatePathMetric(double *pathMetric, double ***llr, uint8_t listSize, uint8_t bitValue,
+		uint16_t row, uint8_t approximation) {
+
+	if (approximation) { //eq. (12)
+		for (uint8_t i=0; i<listSize; i++) {
+			if ((2*bitValue) != ( 1 - copysign(1.0,llr[row][0][i]) )) pathMetric[i] += fabs(llr[row][0][i]);
+		}
+	} else { //eq. (11b)
+		int8_t multiplier = (2*bitValue) - 1;
+		for (uint8_t i=0; i<listSize; i++) pathMetric[i] += log ( 1 + exp(multiplier*llr[row][0][i]) ) ;
+	}
+
+}
+
+void updatePathMetric2(double *pathMetric, double ***llr, uint8_t listSize, uint16_t row, uint8_t appr) {
+
+	double *tempPM = malloc(sizeof(double) * listSize);
+	for (int i=0; i < listSize; i++) tempPM[i]=pathMetric[i];
+
+	uint8_t bitValue = 0;
+	if (appr) { //eq. (12)
+		for (uint8_t i = 0; i < listSize; i++) {
+			if ((2 * bitValue) != (1 - copysign(1.0, llr[row][0][i]))) pathMetric[i] += fabs(llr[row][0][i]);
+		}
+	} else { //eq. (11b)
+		int8_t multiplier = (2 * bitValue) - 1;
+		for (uint8_t i = 0; i < listSize; i++) pathMetric[i] += log(1 + exp(multiplier * llr[row][0][i]));
+	}
+
+	bitValue = 1;
+	if (appr) { //eq. (12)
+		for (uint8_t i = listSize; i < 2*listSize; i++) {
+			if ((2 * bitValue) != (1 - copysign(1.0, llr[row][0][(i-listSize)]))) pathMetric[i] = tempPM[(i-listSize)] + fabs(llr[row][0][(i-listSize)]);
+		}
+	} else { //eq. (11b)
+		int8_t multiplier = (2 * bitValue) - 1;
+		for (uint8_t i = listSize; i < 2*listSize; i++) pathMetric[i] = tempPM[(i-listSize)] + log(1 + exp(multiplier * llr[row][0][(i-listSize)]));
+	}
+
+	free(tempPM);
+
+}
+
+void computeLLR(double ***llr, uint16_t row, uint16_t col, uint8_t i,
+		uint16_t offset, uint8_t approximation) {
+
+	double a = llr[row][col + 1][i];
+	double absA = fabs(a);
+	double b = llr[row + offset][col + 1][i];
+	double absB = fabs(b);
+
+	if (approximation || isinf(absA) || isinf(absB)) { //eq. (9)
+		llr[row][col][i] = copysign(1.0, a) * copysign(1.0, b) * fmin(absA, absB);
+	} else { //eq. (8a)
+		llr[row][col][i] = log((exp(a + b) + 1) / (exp(a) + exp(b)));
+	}
+
+}
+
+void updateCrcChecksum(uint8_t **crcChecksum, uint8_t **crcGen,
+		uint8_t listSize, uint32_t i2, uint8_t len) {
+	for (uint8_t i = 0; i < listSize; i++) {
+		for (uint8_t j = 0; j < len; j++) {
+			crcChecksum[j][i] = ( (crcChecksum[j][i] + crcGen[i2][j]) % 2 );
+		}
+	}
+}
+
+void updateCrcChecksum2(uint8_t **crcChecksum, uint8_t **crcGen,
+		uint8_t listSize, uint32_t i2, uint8_t len) {
+	for (uint8_t i = 0; i < listSize; i++) {
+		for (uint8_t j = 0; j < len; j++) {
+			crcChecksum[j][i+listSize] = ( (crcChecksum[j][i] + crcGen[i2][j]) % 2 );
+		}
+	}
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_defs.h b/openair1/PHY/CODING/nrPolar_tools/nr_polar_defs.h
new file mode 100644
index 0000000000..9c3393adba
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_defs.h
@@ -0,0 +1,112 @@
+#ifndef __NR_POLAR_DEFS__H__
+#define __NR_POLAR_DEFS__H__
+
+#include <math.h>
+#include <stdio.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <string.h>
+
+static const uint8_t nr_polar_subblock_interleaver_pattern[32] = { 0, 1, 2, 4, 3, 5, 6, 7, 8, 16, 9, 17, 10, 18, 11, 19, 12, 20, 13, 21, 14, 22, 15, 23, 24, 25, 26, 28, 27, 29, 30, 31 };
+
+typedef struct nrPolar_params {
+	uint8_t n_max;
+	uint8_t i_il;
+	uint8_t n_pc;
+	uint8_t n_pc_wm;
+	uint8_t i_bil;
+	uint16_t payloadBits;
+	uint16_t encoderLength;
+	uint8_t crcParityBits;
+	uint8_t crcCorrectionBits;
+	uint16_t K;
+	uint16_t N;
+	uint8_t n;
+
+	uint16_t *interleaving_pattern;
+	uint16_t *rate_matching_pattern;
+	uint16_t *Q_0_Nminus1;
+	int16_t *Q_I_N;
+	int16_t *Q_F_N;
+	int16_t *Q_PC_N;
+	uint8_t *information_bit_pattern;
+	uint16_t *channel_interleaver_pattern;
+
+	uint8_t **crc_generator_matrix; //G_P
+	uint8_t **G_N;
+} t_nrPolar_params;
+
+void polar_encoder(uint8_t *input, uint8_t *channel_input, t_nrPolar_params* polarParams);
+
+int8_t polar_decoder(double *input, uint8_t *output, t_nrPolar_params *polarParams,
+		uint8_t listSize, double *aPrioriPayload, uint8_t pathMetricAppr);
+
+void nr_polar_init(t_nrPolar_params* polarParams, int messageType);
+
+uint8_t** nr_polar_kronecker_power_matrices(uint8_t n);
+
+uint16_t* nr_polar_sequence_pattern(uint8_t n);
+
+uint32_t nr_polar_output_length(uint16_t K, uint16_t E, uint8_t n_max);
+
+void nr_polar_channel_interleaver_pattern(uint16_t *cip, uint8_t I_BIL,
+		uint16_t E);
+
+void nr_polar_rate_matching_pattern(uint16_t *rmp, uint16_t *J, uint8_t *P_i_,
+		uint16_t K, uint16_t N, uint16_t E);
+
+void nr_polar_rate_matching(double *input, double *output, uint16_t *rmp,
+		uint16_t K, uint16_t N, uint16_t E);
+
+void nr_polar_rate_matcher(uint8_t *input, unsigned char *output, uint16_t *pattern, uint16_t size);
+
+void nr_polar_interleaving_pattern(uint16_t K, uint8_t I_IL, uint16_t *PI_k_);
+
+void nr_polar_interleaver(uint8_t *input, uint8_t *output, uint16_t *pattern,
+		uint16_t size);
+
+void nr_polar_deinterleaver(uint8_t *input, uint8_t *output, uint16_t *pattern,
+		uint16_t size);
+
+void nr_polar_info_bit_pattern(uint8_t *ibp, uint16_t *Q_I_N, int16_t *Q_F_N,
+		uint16_t *J, uint16_t *Q_0_Nminus1, uint16_t K, uint16_t N, uint16_t E,
+		uint8_t n_PC);
+
+void nr_polar_info_bit_extraction(uint8_t *input, uint8_t *output,
+		uint8_t *pattern, uint16_t size);
+
+void nr_byte2bit(uint8_t *array, uint8_t arraySize, uint8_t *bitArray);
+
+void nr_polar_bit_insertion(uint8_t *input, uint8_t *output, uint16_t N,
+		uint16_t K, uint16_t *Q_I_N, uint16_t *Q_PC_N, uint8_t n_PC);
+
+void nr_matrix_multiplication_uint8_t_1D_uint8_t_2D(uint8_t *matrix1, uint8_t **matrix2,
+		uint8_t *output, uint16_t row, uint16_t col);
+
+uint8_t ***nr_alloc_uint8_t_3D_array(uint16_t xlen, uint16_t ylen,
+		uint16_t zlen);
+uint8_t **nr_alloc_uint8_t_2D_array(uint16_t xlen, uint16_t ylen);
+double ***nr_alloc_double_3D_array(uint16_t xlen, uint16_t ylen, uint16_t zlen);
+
+void nr_free_uint8_t_3D_array(uint8_t ***input, uint16_t xlen, uint16_t ylen);
+void nr_free_uint8_t_2D_array(uint8_t **input, uint16_t xlen);
+void nr_free_double_3D_array(double ***input, uint16_t xlen, uint16_t ylen);
+
+void updateLLR(double ***llr, uint8_t **llrU, uint8_t ***bit, uint8_t **bitU,
+		uint8_t listSize, uint16_t row, uint16_t col, uint16_t xlen,
+		uint8_t ylen, uint8_t approximation);
+void updateBit(uint8_t ***bit, uint8_t **bitU, uint8_t listSize, uint16_t row,
+		uint16_t col, uint16_t xlen, uint8_t ylen);
+void updatePathMetric(double *pathMetric, double ***llr, uint8_t listSize,
+		uint8_t bitValue, uint16_t row, uint8_t approximation);
+void updatePathMetric2(double *pathMetric, double ***llr, uint8_t listSize,
+		uint16_t row, uint8_t approximation);
+void computeLLR(double ***llr, uint16_t row, uint16_t col, uint8_t i,
+		uint16_t offset, uint8_t approximation);
+void updateCrcChecksum(uint8_t **crcChecksum, uint8_t **crcGen,
+		uint8_t listSize, uint32_t i2, uint8_t len);
+void updateCrcChecksum2(uint8_t **crcChecksum, uint8_t **crcGen,
+		uint8_t listSize, uint32_t i2, uint8_t len);
+void nr_sort_asc_double_1D_array_ind(double *matrix, uint8_t *ind, uint8_t len);
+
+#endif
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_encoder.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_encoder.c
new file mode 100644
index 0000000000..680d0d718a
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_encoder.c
@@ -0,0 +1,56 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+#include "PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h"
+
+void polar_encoder(uint8_t *input, uint8_t *channel_input, t_nrPolar_params *polarParams){
+	/*//Create the Transport Block.
+	unsigned int payload=0xb3f02c82;
+	uint8_t pbchTransportBlockSize = ( polarParams->K / (8*sizeof(uint8_t)) );
+	uint8_t *pbchTransportBlock = malloc(pbchTransportBlockSize);
+	memcpy(pbchTransportBlock,&payload,sizeof(payload));
+
+	//Attach CRC to the Transport Block. (a to b)
+	uint32_t crc = crc24c(&payload, NR_POLAR_PBCH_PAYLOAD_BITS)>>8;
+	pbchTransportBlock[NR_POLAR_PBCH_PAYLOAD_BITS>>3] = ((uint8_t*)&crc)[2];
+	pbchTransportBlock[1+(NR_POLAR_PBCH_PAYLOAD_BITS>>3)] = ((uint8_t*)&crc)[1];
+	pbchTransportBlock[2+(NR_POLAR_PBCH_PAYLOAD_BITS>>3)] = ((uint8_t*)&crc)[0];*/
+
+	/*
+	 * Bytewise operations
+	 */
+
+	//Calculate CRC.
+	uint8_t *nr_polar_crc = malloc(sizeof(uint8_t) * polarParams->crcParityBits);
+	nr_matrix_multiplication_uint8_t_1D_uint8_t_2D(input, polarParams->crc_generator_matrix,
+			nr_polar_crc, polarParams->payloadBits, polarParams->crcParityBits);
+	for (uint8_t i = 0; i < polarParams->crcParityBits; i++) nr_polar_crc[i] = (nr_polar_crc[i] % 2);
+
+	//Attach CRC to the Transport Block. (a to b)
+	uint8_t *nr_polar_b = malloc(sizeof(uint8_t) * polarParams->K);
+	for (uint16_t i = 0; i < polarParams->payloadBits; i++) nr_polar_b[i] = input[i];
+	for (uint16_t i = polarParams->payloadBits; i < polarParams->K; i++) nr_polar_b[i]= nr_polar_crc[i-(polarParams->payloadBits)];
+
+	//Interleaving (c to c')
+	uint8_t *nr_polar_cPrime = malloc(sizeof(uint8_t) * polarParams->K);
+	nr_polar_interleaver(nr_polar_b, nr_polar_cPrime, polarParams->interleaving_pattern, polarParams->K);
+
+	//Bit insertion (c' to u)
+	uint8_t *nr_polar_u = malloc(sizeof(uint8_t) * polarParams->N);
+	nr_polar_bit_insertion(nr_polar_cPrime, nr_polar_u, polarParams->N, polarParams->K,
+			polarParams->Q_I_N, polarParams->Q_PC_N, polarParams->n_pc);
+
+	//Encoding (u to d)
+	uint8_t *pbch_polar_encoder_output = malloc(sizeof(uint8_t) * polarParams->N);
+	nr_matrix_multiplication_uint8_t_1D_uint8_t_2D(nr_polar_u, polarParams->G_N, pbch_polar_encoder_output, polarParams->N, polarParams->N);
+	for (uint16_t i = 0; i < polarParams->N; i++) pbch_polar_encoder_output[i] = (pbch_polar_encoder_output[i] % 2);
+
+	//Rate matching
+	//Sub-block interleaving (d to y) and Bit selection (y to e)
+	nr_polar_rate_matcher(pbch_polar_encoder_output, channel_input, polarParams->rate_matching_pattern, polarParams->encoderLength);
+
+	//free(pbchTransportBlock);
+	free(nr_polar_crc);
+	free(nr_polar_b);
+	free(nr_polar_cPrime);
+	free(nr_polar_u);
+	free(pbch_polar_encoder_output);
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_info_bit_pattern.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_info_bit_pattern.c
new file mode 100644
index 0000000000..f311571c99
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_info_bit_pattern.c
@@ -0,0 +1,110 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_polar_info_bit_pattern(uint8_t *ibp, uint16_t *Q_I_N, int16_t *Q_F_N,
+		uint16_t *J, uint16_t *Q_0_Nminus1, uint16_t K, uint16_t N, uint16_t E,
+		uint8_t n_PC) {
+
+	int16_t *Q_Ftmp_N = malloc(sizeof(int16_t) * (N + 1)); // Last element shows the final
+	int16_t *Q_Itmp_N = malloc(sizeof(int16_t) * (N + 1)); // array index assigned a value.
+
+	for (int i = 0; i <= N; i++) {
+		Q_Ftmp_N[i] = -1; // Empty array.
+		Q_Itmp_N[i] = -1;
+	}
+
+	uint8_t flag;
+	uint16_t limit, ind;
+
+	if (E < N) {
+		if ((K / (double) E) <= (7.0 / 16)) { //puncturing
+			for (int n = 0; n <= N - E - 1; n++) {
+				ind = Q_Ftmp_N[N] + 1;
+				Q_Ftmp_N[ind] = J[n];
+				Q_Ftmp_N[N] = Q_Ftmp_N[N] + 1;
+			}
+
+			if ((E / (double) N) >= (3.0 / 4)) {
+				limit = ceil((double) (3 * N - 2 * E) / 4);
+				for (int n = 0; n <= limit - 1; n++) {
+					ind = Q_Ftmp_N[N] + 1;
+					Q_Ftmp_N[ind] = n;
+					Q_Ftmp_N[N] = Q_Ftmp_N[N] + 1;
+				}
+			} else {
+				limit = ceil((double) (9 * N - 4 * E) / 16);
+				for (int n = 0; n <= limit - 1; n++) {
+					ind = Q_Ftmp_N[N] + 1;
+					Q_Ftmp_N[ind] = n;
+					Q_Ftmp_N[N] = Q_Ftmp_N[N] + 1;
+				}
+			}
+		} else { //shortening
+			for (int n = E; n <= N - 1; n++) {
+				ind = Q_Ftmp_N[N] + 1;
+				Q_Ftmp_N[ind] = J[n];
+				Q_Ftmp_N[N] = Q_Ftmp_N[N] + 1;
+			}
+		}
+	}
+
+	//Q_I,tmp_N = Q_0_N-1 \ Q_F,tmp_N
+	for (int n = 0; n <= N - 1; n++) {
+		flag = 1;
+		for (int m = 0; m <= Q_Ftmp_N[N]; m++) {
+			if (Q_0_Nminus1[n] == Q_Ftmp_N[m]) {
+				flag = 0;
+				break;
+			}
+		}
+		if (flag) {
+			Q_Itmp_N[Q_Itmp_N[N] + 1] = Q_0_Nminus1[n];
+			Q_Itmp_N[N]++;
+		}
+	}
+
+	//Q_I_N comprises (K+n_PC) most reliable bit indices in Q_I,tmp_N
+	for (int n = 0; n <= (K + n_PC) - 1; n++) {
+		ind = Q_Itmp_N[N] + n - ((K + n_PC) - 1);
+		Q_I_N[n] = Q_Itmp_N[ind];
+	}
+
+	//Q_F_N = Q_0_N-1 \ Q_I_N
+	for (int n = 0; n <= N - 1; n++) {
+		flag = 1;
+		for (int m = 0; m <= (K + n_PC) - 1; m++) {
+			if (Q_0_Nminus1[n] == Q_I_N[m]) {
+				flag = 0;
+				break;
+			}
+		}
+		if (flag) {
+			Q_F_N[Q_F_N[N] + 1] = Q_0_Nminus1[n];
+			Q_F_N[N]++;
+		}
+	}
+
+	//Information Bit Pattern
+	for (int n = 0; n <= N - 1; n++) {
+		ibp[n] = 0;
+
+		for (int m = 0; m <= (K + n_PC) - 1; m++) {
+			if (n == Q_I_N[m]) {
+				ibp[n] = 1;
+				break;
+			}
+		}
+	}
+
+	free(Q_Ftmp_N);
+	free(Q_Itmp_N);
+}
+
+void nr_polar_info_bit_extraction(uint8_t *input, uint8_t *output, uint8_t *pattern, uint16_t size) {
+	uint16_t j = 0;
+	for (int i = 0; i < size; i++) {
+		if (pattern[i] > 0) {
+			output[j] = input[i];
+			j++;
+		}
+	}
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_interleave.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_interleave.c
new file mode 100644
index 0000000000..643b5fd034
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_interleave.c
@@ -0,0 +1,37 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_polar_interleaving_pattern(uint16_t K, uint8_t I_IL, uint16_t *PI_k_){
+	uint8_t K_IL_max=164, k=0;
+	uint8_t interleaving_pattern_table[164] = {0, 2, 4, 7, 9, 14, 19, 20, 24, 25, 26, 28, 31, 34,
+			42, 45, 49, 50, 51, 53, 54, 56, 58, 59, 61, 62, 65, 66,
+			67, 69, 70, 71, 72, 76, 77, 81, 82, 83, 87, 88, 89, 91,
+			93, 95, 98, 101, 104, 106, 108, 110, 111, 113, 115, 118, 119, 120,
+			122, 123, 126, 127, 129, 132, 134, 138, 139, 140, 1, 3, 5, 8,
+			10, 15, 21, 27, 29, 32, 35, 43, 46, 52, 55, 57, 60, 63,
+			68, 73, 78, 84, 90, 92, 94, 96, 99, 102, 105, 107, 109, 112,
+			114, 116, 121, 124, 128, 130, 133, 135, 141, 6, 11, 16, 22, 30,
+			33, 36, 44, 47, 64, 74, 79, 85, 97, 100, 103, 117, 125, 131,
+			136, 142, 12, 17, 23, 37, 48, 75, 80, 86, 137, 143, 13, 18,
+			38, 144, 39, 145, 40, 146, 41, 147, 148, 149, 150, 151, 152, 153,
+			154, 155, 156, 157, 158, 159, 160, 161, 162, 163};
+	
+	if (I_IL == 0){
+		for (; k<= K-1; k++)
+			PI_k_[k] = k;
+	} else {
+		for (int m=0; m<= (K_IL_max-1); m++){
+			if (interleaving_pattern_table[m] >= (K_IL_max-K)) {
+				PI_k_[k] = interleaving_pattern_table[m]-(K_IL_max-K);
+				k++;
+			}
+		}
+	}
+}
+
+void nr_polar_interleaver(uint8_t *input, uint8_t *output, uint16_t *pattern, uint16_t size) {
+	for (int i=0; i<size; i++) output[i]=input[pattern[i]];
+}
+
+void nr_polar_deinterleaver(uint8_t *input, uint8_t *output, uint16_t *pattern, uint16_t size) {
+	for (int i=0; i<size; i++) output[pattern[i]]=input[i];
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_kernal_operation.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_kernal_operation.c
new file mode 100644
index 0000000000..0584d98afa
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_kernal_operation.c
@@ -0,0 +1,23 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <stdint.h>
+
+void nr_polar_kernel_operation(uint8_t *u, uint8_t *d, uint16_t N)
+{
+    // Martino's algorithm to avoid multiplication for the generating matrix
+
+    int i,j;
+    printf("\nd = ");
+	for(i=0; i<N; i++)
+    {
+        d[i]=0;
+        for(j=0; j<N; j++)
+        {
+            d[i]=d[i]+(( (j-i)& i )==0)*u[j];
+        }
+        d[i]=d[i]%2;
+
+        printf("%i", d[i]);
+    }
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_kronecker_power_matrices.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_kronecker_power_matrices.c
new file mode 100644
index 0000000000..749e37f125
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_kronecker_power_matrices.c
@@ -0,0 +1,2064 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+uint8_t (*const(G_N_1[])) = {
+		(uint8_t[]){ 1, 0 },
+		(uint8_t[]){ 1, 1 }};
+uint8_t (*const(G_N_2[])) = {
+		(uint8_t[]){ 1, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0 },
+		(uint8_t[]){ 1, 1, 1, 1 }};
+uint8_t (*const(G_N_3[])) = {
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1 }};
+uint8_t (*const(G_N_4[])) = {
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }};
+uint8_t (*const(G_N_5[])) = {
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }};
+uint8_t (*const(G_N_6[])) = {
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }};
+uint8_t (*const(G_N_7[])) = {
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }};
+uint8_t (*const(G_N_8[])) = {
+		(uint8_t[]){ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
+		(uint8_t[]){ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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+uint8_t (*const(G_N_9[])) = {
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+uint8_t (*const(G_N_10[])) = {
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+		(uint8_t[]){ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }};
+
+uint8_t (*const(*const(G_N[]))) = {NULL,G_N_1,G_N_2,G_N_3,G_N_4,G_N_5,G_N_6,G_N_7,G_N_8,G_N_9,G_N_10};
+
+uint8_t** nr_polar_kronecker_power_matrices(uint8_t n){
+		return G_N[n];
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_matrix_and_array.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_matrix_and_array.c
new file mode 100644
index 0000000000..7561776d05
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_matrix_and_array.c
@@ -0,0 +1,160 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_matrix_multiplication_uint8_t_1D_uint8_t_2D(uint8_t *matrix1, uint8_t **matrix2,
+		uint8_t *output, uint16_t row, uint16_t col) {
+
+	for (uint16_t i = 0; i < col; i++) {
+		output[i] = 0;
+		for (uint16_t j = 0; j < row; j++) {
+			output[i] += matrix1[j] * matrix2[j][i];
+		}
+	}
+}
+
+uint8_t ***nr_alloc_uint8_t_3D_array(uint16_t xlen, uint16_t ylen, uint16_t zlen) {
+	uint8_t ***output;
+	int i, j;
+
+	if ((output = malloc(xlen * sizeof(*output))) == NULL) {
+		perror("[nr_alloc_uint8_t_3D_array] Problem at 1D allocation");
+		return NULL;
+	}
+	for (i = 0; i < xlen; i++)
+		output[i] = NULL;
+
+
+	for (i = 0; i < xlen; i++)
+		if ((output[i] = malloc(ylen * sizeof *output[i])) == NULL) {
+			perror("[nr_alloc_uint8_t_3D_array] Problem at 2D allocation");
+			nr_free_uint8_t_3D_array(output, xlen, ylen);
+			return NULL;
+		}
+	for (i = 0; i < xlen; i++)
+		for (j = 0; j < ylen; j++)
+			output[i][j] = NULL;
+
+
+	for (i = 0; i < xlen; i++)
+		for (j = 0; j < ylen; j++)
+			if ((output[i][j] = malloc(zlen * sizeof *output[i][j])) == NULL) {
+				perror("[nr_alloc_uint8_t_3D_array] Problem at 3D allocation");
+				nr_free_uint8_t_3D_array(output, xlen, ylen);
+				return NULL;
+			}
+
+	return output;
+}
+
+double ***nr_alloc_double_3D_array(uint16_t xlen, uint16_t ylen, uint16_t zlen) {
+	double ***output;
+	int i, j;
+
+	if ((output = malloc(xlen * sizeof(*output))) == NULL) {
+		perror("[nr_alloc_double_3D_array] Problem at 1D allocation");
+		return NULL;
+	}
+	for (i = 0; i < xlen; i++)
+		output[i] = NULL;
+
+
+	for (i = 0; i < xlen; i++)
+		if ((output[i] = malloc(ylen * sizeof *output[i])) == NULL) {
+			perror("[nr_alloc_double_3D_array] Problem at 2D allocation");
+			nr_free_double_3D_array(output, xlen, ylen);
+			return NULL;
+		}
+	for (i = 0; i < xlen; i++)
+		for (j = 0; j < ylen; j++)
+			output[i][j] = NULL;
+
+
+	for (i = 0; i < xlen; i++)
+		for (j = 0; j < ylen; j++)
+			if ((output[i][j] = malloc(zlen * sizeof *output[i][j])) == NULL) {
+				perror("[nr_alloc_double_3D_array] Problem at 3D allocation");
+				nr_free_double_3D_array(output, xlen, ylen);
+				return NULL;
+			}
+
+	return output;
+}
+
+uint8_t **nr_alloc_uint8_t_2D_array(uint16_t xlen, uint16_t ylen) {
+	uint8_t **output;
+	int i, j;
+
+	if ((output = malloc(xlen * sizeof(*output))) == NULL) {
+		perror("[nr_alloc_uint8_t_2D_array] Problem at 1D allocation");
+		return NULL;
+	}
+	for (i = 0; i < xlen; i++)
+		output[i] = NULL;
+
+
+	for (i = 0; i < xlen; i++)
+		if ((output[i] = malloc(ylen * sizeof *output[i])) == NULL) {
+			perror("[nr_alloc_uint8_t_2D_array] Problem at 2D allocation");
+			nr_free_uint8_t_2D_array(output, xlen);
+			return NULL;
+		}
+	for (i = 0; i < xlen; i++)
+		for (j = 0; j < ylen; j++)
+			output[i][j] = 0;
+
+	return output;
+}
+
+void nr_free_uint8_t_3D_array(uint8_t ***input, uint16_t xlen, uint16_t ylen) {
+	int i, j;
+
+	for (i = 0; i < xlen; i++) {
+		for (j = 0; j < ylen; j++) {
+			free(input[i][j]);
+		}
+		free(input[i]);
+	}
+	free(input);
+}
+
+void nr_free_uint8_t_2D_array(uint8_t **input, uint16_t xlen) {
+	for (int i = 0; i < xlen; i++) free(input[i]);
+	free(input);
+}
+
+void nr_free_double_3D_array(double ***input, uint16_t xlen, uint16_t ylen) {
+	int i, j;
+
+	for (i = 0; i < xlen; i++) {
+		for (j = 0; j < ylen; j++) {
+			free(input[i][j]);
+		}
+		free(input[i]);
+	}
+	free(input);
+}
+
+// Modified Bubble Sort.
+void nr_sort_asc_double_1D_array_ind(double *matrix, uint8_t *ind, uint8_t len) {
+	uint8_t swaps;
+	double temp;
+	uint8_t tempInd;
+
+	for (uint8_t i = 0; i < len; i++) {
+		swaps = 0;
+		for (uint8_t j = 0; j < (len - i) - 1; j++) {
+			if (matrix[j] > matrix[j + 1]) {
+				temp = matrix[j];
+				matrix[j] = matrix[j + 1];
+				matrix[j + 1] = temp;
+
+				tempInd = ind[j];
+				ind[j] = ind[j + 1];
+				ind[j + 1] = tempInd;
+
+				swaps++;
+			}
+		}
+		if (swaps == 0)
+			break;
+	}
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_output_length.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_output_length.c
new file mode 100644
index 0000000000..bbb6c8b3b8
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_output_length.c
@@ -0,0 +1,25 @@
+#include <math.h>
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+uint32_t nr_polar_output_length(uint16_t K, uint16_t E, uint8_t n_max){
+	uint8_t n_1, n_2, n_min=5, n;
+	uint32_t polar_code_output_length;
+	double R_min=1.0/8;
+	
+	if ( (E <= (9.0/8)*pow(2,ceil(log2(E))-1)) && (K/E < 9.0/16) ) {
+		n_1 = ceil(log2(E))-1;		
+	} else {
+		n_1 = ceil(log2(E));
+	}
+	
+	n_2 = ceil(log2(K/R_min));
+	
+	n=n_max;
+	if (n>n_1) n=n_1;
+	if (n>n_2) n=n_2;
+	if (n<n_min) n=n_min;
+	
+	polar_code_output_length = (uint32_t) pow(2.0,n);
+	
+	return polar_code_output_length;
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h b/openair1/PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h
new file mode 100644
index 0000000000..1fc0f254b3
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_pbch_defs.h
@@ -0,0 +1,42 @@
+/*
+ * Defines the constant variables for polar coding of the PBCH.
+ */
+
+#ifndef __NR_POLAR_PBCH_DEFS__H__
+#define __NR_POLAR_PBCH_DEFS__H__
+
+
+#define NR_POLAR_PBCH_PAYLOAD_BITS 32 //uint16_t
+#define NR_POLAR_PBCH_CRC_PARITY_BITS 24
+#define NR_POLAR_PBCH_CRC_ERROR_CORRECTION_BITS 3
+//Assumed 3 by 3GPP when NR_POLAR_PBCH_L>8 to meet false alarm rate requirements.
+
+//Ref. 38-212 v15.0.1, Section 7.1.4: Channel Coding
+#define NR_POLAR_PBCH_N_MAX 9   //uint8_t
+#define NR_POLAR_PBCH_I_IL 1    //uint8_t
+#define NR_POLAR_PBCH_N_PC 0    //uint8_t
+#define NR_POLAR_PBCH_N_PC_WM 0 //uint8_t
+//#define NR_POLAR_PBCH_N 512     //uint16_t
+
+//Ref. 38-212 v15.0.1, Section 7.1.5: Rate Matching
+#define NR_POLAR_PBCH_I_BIL 0 //uint8_t
+#define NR_POLAR_PBCH_E 864   //uint16_t
+
+//#define NR_POLAR_PBCH_L 5 //uint8_t
+#define NR_POLAR_PBCH_PATH_METRIC_APPROXIMATION 0 //uint8_t; 0 --> eq. (8a) and (11b), 1 --> eq. (9) and (12)
+
+/*
+ * TEST CODE
+ */
+//#define DEBUG_POLAR
+// Usage in code:
+//#ifdef DEBUG_POLAR
+//...
+//#endif
+
+//unsigned int testPayload0=0x00000000, testPayload1=0xffffffff; //payload1=~payload0;
+//unsigned int testPayload2=0xa5a5a5a5; //testPayload3=0xb3f02c82;
+
+//double testReceivedPayload3[NR_POLAR_PBCH_E] = {-1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1};
+
+#endif
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_plot.m b/openair1/PHY/CODING/nrPolar_tools/nr_polar_plot.m
new file mode 100644
index 0000000000..e69de29bb2
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_pucch_defs.h b/openair1/PHY/CODING/nrPolar_tools/nr_polar_pucch_defs.h
new file mode 100644
index 0000000000..cf23982752
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_pucch_defs.h
@@ -0,0 +1,28 @@
+/*
+ * Defines the constant variables for polar coding of the PUCCH.
+ */
+
+#ifndef __NR_POLAR_PUCCH_DEFS__H__
+#define __NR_POLAR_PUCCH_DEFS__H__
+
+#define NR_POLAR_PUCCH_PAYLOAD_BITS 16
+
+//Ref. 38-212 v15.0.1
+#define NR_POLAR_PUCCH_N_MAX 10   //uint8_t <------
+#define NR_POLAR_PUCCH_I_IL 1    //uint8_t <--- interleaving: if 0 no interleaving
+#define NR_POLAR_PUCCH_N_PC 3    //uint8_t <-- or zero ??
+#define NR_POLAR_PUCCH_N_PC_WM 0 //uint8_t
+//#define NR_POLAR_PUCCH_N 512     //uint16_t
+
+//Ref. 38-212 v15.0.1, Section 7.1.5: Rate Matching
+#define NR_POLAR_PUCCH_I_BIL 0 //uint8_t
+#define NR_POLAR_PUCCH_E 864   //uint16_t
+
+
+/*
+ * TEST CODE
+ */
+//unsigned int testPayload0=0x00000000, testPayload1=0xffffffff; //payload1=~payload0;
+//unsigned int testPayload2=0xa5a5a5a5, testPayload3=0xb3f02c82;
+
+#endif
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_rate_match.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_rate_match.c
new file mode 100644
index 0000000000..13e0e1a6d4
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_rate_match.c
@@ -0,0 +1,64 @@
+#include <math.h>
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+void nr_polar_rate_matching_pattern(uint16_t *rmp, uint16_t *J, uint8_t *P_i_, uint16_t K, uint16_t N, uint16_t E){
+	
+	uint8_t i;
+	uint16_t *d, *y, ind;
+	d = (uint16_t *)malloc(sizeof(uint16_t) * N);
+	y = (uint16_t *)malloc(sizeof(uint16_t) * N);
+	
+	for (int m=0; m<=N-1; m++) d[m]=m;
+	
+	for (int m=0; m<=N-1; m++){
+		i=floor((32*m)/N);
+		J[m] = (P_i_[i]*(N/32)) + (m%(N/32));
+		y[m] = d[J[m]];
+	}
+	
+	if (E>=N) { //repetition
+		for (int k=0; k<=E-1; k++) {
+			ind = (k%N);
+			rmp[k]=y[ind];
+		}
+	} else {
+		if ( (K/(double)E) <= (7.0/16) ) { //puncturing
+			for (int k=0; k<=E-1; k++) {
+				rmp[k]=y[k+N-E];
+			}
+		} else { //shortening
+			for (int k=0; k<=E-1; k++) {
+				rmp[k]=y[k];
+			}
+		}	
+	}	
+	
+	free(d);
+	free(y);
+}
+
+
+void nr_polar_rate_matching(double *input, double *output, uint16_t *rmp, uint16_t K, uint16_t N, uint16_t E){
+
+	if (E>=N) { //repetition
+		for (int i=0; i<=N-1; i++) output[i]=0;
+		for (int i=0; i<=E-1; i++){
+			output[rmp[i]]+=input[i];
+		}
+	} else {
+		if ( (K/(double)E) <= (7.0/16) ) { //puncturing
+			for (int i=0; i<=N-1; i++) output[i]=0;
+		} else { //shortening
+			for (int i=0; i<=N-1; i++) output[i]=INFINITY;
+		}
+
+		for (int i=0; i<=E-1; i++){
+			output[rmp[i]]=input[i];
+		}
+	}
+
+}
+
+void nr_polar_rate_matcher(uint8_t *input, unsigned char *output, uint16_t *pattern, uint16_t size) {
+	for (int i=0; i<size; i++) output[i]=input[pattern[i]];
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_polar_sequence_pattern.c b/openair1/PHY/CODING/nrPolar_tools/nr_polar_sequence_pattern.c
new file mode 100644
index 0000000000..5ccfd8aeb1
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_polar_sequence_pattern.c
@@ -0,0 +1,19 @@
+#include "PHY/CODING/nrPolar_tools/nr_polar_defs.h"
+
+static const uint16_t Q_0_Nminus1_1[2] = { 0, 1 };
+static const uint16_t Q_0_Nminus1_2[4] = { 0, 1, 2, 3 };
+static const uint16_t Q_0_Nminus1_3[8] = { 0, 1, 2, 4, 3, 5, 6, 7 };
+static const uint16_t Q_0_Nminus1_4[16] = { 0, 1, 2, 4, 8, 3, 5, 9, 6, 10, 12, 7, 11, 13, 14, 15 };
+static const uint16_t Q_0_Nminus1_5[32] = { 0, 1, 2, 4, 8, 16, 3, 5, 9, 6, 17, 10, 18, 12, 20, 24, 7, 11, 19, 13, 14, 21, 26, 25, 22, 28, 15, 23, 27, 29, 30, 31 };
+static const uint16_t Q_0_Nminus1_6[64] = { 0, 1, 2, 4, 8, 16, 32, 3, 5, 9, 6, 17, 10, 18, 12, 33, 20, 34, 24, 36, 7, 11, 40, 19, 13, 48, 14, 21, 35, 26, 37, 25, 22, 38, 41, 28, 42, 49, 44, 50, 15, 52, 23, 56, 27, 39, 29, 43, 30, 45, 51, 46, 53, 54, 57, 58, 60, 31, 47, 55, 59, 61, 62, 63 };
+static const uint16_t Q_0_Nminus1_7[128] = { 0, 1, 2, 4, 8, 16, 32, 3, 5, 64, 9, 6, 17, 10, 18, 12, 33, 65, 20, 34, 24, 36, 7, 66, 11, 40, 68, 19, 13, 48, 14, 72, 21, 35, 26, 80, 37, 25, 22, 38, 96, 67, 41, 28, 69, 42, 49, 74, 70, 44, 81, 50, 73, 15, 52, 23, 76, 82, 56, 27, 97, 39, 84, 29, 43, 98, 88, 30, 71, 45, 100, 51, 46, 75, 104, 53, 77, 54, 83, 57, 112, 78, 85, 58, 99, 86, 60, 89, 101, 31, 90, 102, 105, 92, 47, 106, 55, 113, 79, 108, 59, 114, 87, 116, 61, 91, 120, 62, 103, 93, 107, 94, 109, 115, 110, 117, 118, 121, 122, 63, 124, 95, 111, 119, 123, 125, 126, 127 };
+static const uint16_t Q_0_Nminus1_8[256] = { 0, 1, 2, 4, 8, 16, 32, 3, 5, 64, 9, 6, 17, 10, 18, 128, 12, 33, 65, 20, 34, 24, 36, 7, 129, 66, 11, 40, 68, 130, 19, 13, 48, 14, 72, 21, 132, 35, 26, 80, 37, 25, 22, 136, 38, 96, 67, 41, 144, 28, 69, 42, 49, 74, 160, 192, 70, 44, 131, 81, 50, 73, 15, 133, 52, 23, 134, 76, 137, 82, 56, 27, 97, 39, 84, 138, 145, 29, 43, 98, 88, 140, 30, 146, 71, 161, 45, 100, 51, 148, 46, 75, 104, 162, 53, 193, 152, 77, 164, 54, 83, 57, 112, 135, 78, 194, 85, 58, 168, 139, 99, 86, 60, 89, 196, 141, 101, 147, 176, 142, 31, 200, 90, 149, 102, 105, 163, 92, 47, 208, 150, 153, 165, 106, 55, 113, 154, 79, 108, 224, 166, 195, 59, 169, 114, 156, 87, 197, 116, 170, 61, 177, 91, 198, 172, 120, 201, 62, 143, 103, 178, 93, 202, 107, 180, 151, 209, 94, 204, 155, 210, 109, 184, 115, 167, 225, 157, 110, 117, 212, 171, 226, 216, 158, 118, 173, 121, 199, 179, 228, 174, 122, 203, 63, 181, 232, 124, 205, 182, 211, 185, 240, 206, 95, 213, 186, 227, 111, 214, 188, 217, 229, 159, 119, 218, 230, 233, 175, 123, 220, 183, 234, 125, 241, 207, 187, 236, 126, 242, 244, 189, 215, 219, 231, 248, 190, 221, 235, 222, 237, 243, 238, 245, 127, 191, 246, 249, 250, 252, 223, 239, 251, 247, 253, 254, 255 };
+static const uint16_t Q_0_Nminus1_9[512] = { 0, 1, 2, 4, 8, 16, 32, 3, 5, 64, 9, 6, 17, 10, 18, 128, 12, 33, 65, 20, 256, 34, 24, 36, 7, 129, 66, 11, 40, 68, 130, 19, 13, 48, 14, 72, 257, 21, 132, 35, 258, 26, 80, 37, 25, 22, 136, 260, 264, 38, 96, 67, 41, 144, 28, 69, 42, 49, 74, 272, 160, 288, 192, 70, 44, 131, 81, 50, 73, 15, 320, 133, 52, 23, 134, 384, 76, 137, 82, 56, 27, 97, 39, 259, 84, 138, 145, 261, 29, 43, 98, 88, 140, 30, 146, 71, 262, 265, 161, 45, 100, 51, 148, 46, 75, 266, 273, 104, 162, 53, 193, 152, 77, 164, 268, 274, 54, 83, 57, 112, 135, 78, 289, 194, 85, 276, 58, 168, 139, 99, 86, 60, 280, 89, 290, 196, 141, 101, 147, 176, 142, 321, 31, 200, 90, 292, 322, 263, 149, 102, 105, 304, 296, 163, 92, 47, 267, 385, 324, 208, 386, 150, 153, 165, 106, 55, 328, 113, 154, 79, 269, 108, 224, 166, 195, 270, 275, 291, 59, 169, 114, 277, 156, 87, 197, 116, 170, 61, 281, 278, 177, 293, 388, 91, 198, 172, 120, 201, 336, 62, 282, 143, 103, 178, 294, 93, 202, 323, 392, 297, 107, 180, 151, 209, 284, 94, 204, 298, 400, 352, 325, 155, 210, 305, 300, 109, 184, 115, 167, 225, 326, 306, 157, 329, 110, 117, 212, 171, 330, 226, 387, 308, 216, 416, 271, 279, 158, 337, 118, 332, 389, 173, 121, 199, 179, 228, 338, 312, 390, 174, 393, 283, 122, 448, 353, 203, 63, 340, 394, 181, 295, 285, 232, 124, 205, 182, 286, 299, 354, 211, 401, 185, 396, 344, 240, 206, 95, 327, 402, 356, 307, 301, 417, 213, 186, 404, 227, 418, 302, 360, 111, 331, 214, 309, 188, 449, 217, 408, 229, 159, 420, 310, 333, 119, 339, 218, 368, 230, 391, 313, 450, 334, 233, 175, 123, 341, 220, 314, 424, 395, 355, 287, 183, 234, 125, 342, 316, 241, 345, 452, 397, 403, 207, 432, 357, 187, 236, 126, 242, 398, 346, 456, 358, 405, 303, 244, 189, 361, 215, 348, 419, 406, 464, 362, 409, 219, 311, 421, 410, 231, 248, 369, 190, 364, 335, 480, 315, 221, 370, 422, 425, 451, 235, 412, 343, 372, 317, 222, 426, 453, 237, 433, 347, 243, 454, 318, 376, 428, 238, 359, 457, 399, 434, 349, 245, 458, 363, 127, 191, 407, 436, 465, 246, 350, 460, 249, 411, 365, 440, 374, 423, 466, 250, 371, 481, 413, 366, 468, 429, 252, 373, 482, 427, 414, 223, 472, 455, 377, 435, 319, 484, 430, 488, 239, 378, 459, 437, 380, 461, 496, 351, 467, 438, 251, 462, 442, 441, 469, 247, 367, 253, 375, 444, 470, 483, 415, 485, 473, 474, 254, 379, 431, 489, 486, 476, 439, 490, 463, 381, 497, 492, 443, 382, 498, 445, 471, 500, 446, 475, 487, 504, 255, 477, 491, 478, 383, 493, 499, 502, 494, 501, 447, 505, 506, 479, 508, 495, 503, 507, 509, 510, 511 };
+static const uint16_t Q_0_Nminus1_10[1024] = { 0, 1, 2, 4, 8, 16, 32, 3, 5, 64, 9, 6, 17, 10, 18, 128, 12, 33, 65, 20, 256, 34, 24, 36, 7, 129, 66, 512, 11, 40, 68, 130, 19, 13, 48, 14, 72, 257, 21, 132, 35, 258, 26, 513, 80, 37, 25, 22, 136, 260, 264, 38, 514, 96, 67, 41, 144, 28, 69, 42, 516, 49, 74, 272, 160, 520, 288, 528, 192, 544, 70, 44, 131, 81, 50, 73, 15, 320, 133, 52, 23, 134, 384, 76, 137, 82, 56, 27, 97, 39, 259, 84, 138, 145, 261, 29, 43, 98, 515, 88, 140, 30, 146, 71, 262, 265, 161, 576, 45, 100, 640, 51, 148, 46, 75, 266, 273, 517, 104, 162, 53, 193, 152, 77, 164, 768, 268, 274, 518, 54, 83, 57, 521, 112, 135, 78, 289, 194, 85, 276, 522, 58, 168, 139, 99, 86, 60, 280, 89, 290, 529, 524, 196, 141, 101, 147, 176, 142, 530, 321, 31, 200, 90, 545, 292, 322, 532, 263, 149, 102, 105, 304, 296, 163, 92, 47, 267, 385, 546, 324, 208, 386, 150, 153, 165, 106, 55, 328, 536, 577, 548, 113, 154, 79, 269, 108, 578, 224, 166, 519, 552, 195, 270, 641, 523, 275, 580, 291, 59, 169, 560, 114, 277, 156, 87, 197, 116, 170, 61, 531, 525, 642, 281, 278, 526, 177, 293, 388, 91, 584, 769, 198, 172, 120, 201, 336, 62, 282, 143, 103, 178, 294, 93, 644, 202, 592, 323, 392, 297, 770, 107, 180, 151, 209, 284, 648, 94, 204, 298, 400, 608, 352, 325, 533, 155, 210, 305, 547, 300, 109, 184, 534, 537, 115, 167, 225, 326, 306, 772, 157, 656, 329, 110, 117, 212, 171, 776, 330, 226, 549, 538, 387, 308, 216, 416, 271, 279, 158, 337, 550, 672, 118, 332, 579, 540, 389, 173, 121, 553, 199, 784, 179, 228, 338, 312, 704, 390, 174, 554, 581, 393, 283, 122, 448, 353, 561, 203, 63, 340, 394, 527, 582, 556, 181, 295, 285, 232, 124, 205, 182, 643, 562, 286, 585, 299, 354, 211, 401, 185, 396, 344, 586, 645, 593, 535, 240, 206, 95, 327, 564, 800, 402, 356, 307, 301, 417, 213, 568, 832, 588, 186, 646, 404, 227, 896, 594, 418, 302, 649, 771, 360, 539, 111, 331, 214, 309, 188, 449, 217, 408, 609, 596, 551, 650, 229, 159, 420, 310, 541, 773, 610, 657, 333, 119, 600, 339, 218, 368, 652, 230, 391, 313, 450, 542, 334, 233, 555, 774, 175, 123, 658, 612, 341, 777, 220, 314, 424, 395, 673, 583, 355, 287, 183, 234, 125, 557, 660, 616, 342, 316, 241, 778, 563, 345, 452, 397, 403, 207, 674, 558, 785, 432, 357, 187, 236, 664, 624, 587, 780, 705, 126, 242, 565, 398, 346, 456, 358, 405, 303, 569, 244, 595, 189, 566, 676, 361, 706, 589, 215, 786, 647, 348, 419, 406, 464, 680, 801, 362, 590, 409, 570, 788, 597, 572, 219, 311, 708, 598, 601, 651, 421, 792, 802, 611, 602, 410, 231, 688, 653, 248, 369, 190, 364, 654, 659, 335, 480, 315, 221, 370, 613, 422, 425, 451, 614, 543, 235, 412, 343, 372, 775, 317, 222, 426, 453, 237, 559, 833, 804, 712, 834, 661, 808, 779, 617, 604, 433, 720, 816, 836, 347, 897, 243, 662, 454, 318, 675, 618, 898, 781, 376, 428, 665, 736, 567, 840, 625, 238, 359, 457, 399, 787, 591, 678, 434, 677, 349, 245, 458, 666, 620, 363, 127, 191, 782, 407, 436, 626, 571, 465, 681, 246, 707, 350, 599, 668, 790, 460, 249, 682, 573, 411, 803, 789, 709, 365, 440, 628, 689, 374, 423, 466, 793, 250, 371, 481, 574, 413, 603, 366, 468, 655, 900, 805, 615, 684, 710, 429, 794, 252, 373, 605, 848, 690, 713, 632, 482, 806, 427, 904, 414, 223, 663, 692, 835, 619, 472, 455, 796, 809, 714, 721, 837, 716, 864, 810, 606, 912, 722, 696, 377, 435, 817, 319, 621, 812, 484, 430, 838, 667, 488, 239, 378, 459, 622, 627, 437, 380, 818, 461, 496, 669, 679, 724, 841, 629, 351, 467, 438, 737, 251, 462, 442, 441, 469, 247, 683, 842, 738, 899, 670, 783, 849, 820, 728, 928, 791, 367, 901, 630, 685, 844, 633, 711, 253, 691, 824, 902, 686, 740, 850, 375, 444, 470, 483, 415, 485, 905, 795, 473, 634, 744, 852, 960, 865, 693, 797, 906, 715, 807, 474, 636, 694, 254, 717, 575, 913, 798, 811, 379, 697, 431, 607, 489, 866, 723, 486, 908, 718, 813, 476, 856, 839, 725, 698, 914, 752, 868, 819, 814, 439, 929, 490, 623, 671, 739, 916, 463, 843, 381, 497, 930, 821, 726, 961, 872, 492, 631, 729, 700, 443, 741, 845, 920, 382, 822, 851, 730, 498, 880, 742, 445, 471, 635, 932, 687, 903, 825, 500, 846, 745, 826, 732, 446, 962, 936, 475, 853, 867, 637, 907, 487, 695, 746, 828, 753, 854, 857, 504, 799, 255, 964, 909, 719, 477, 915, 638, 748, 944, 869, 491, 699, 754, 858, 478, 968, 383, 910, 815, 976, 870, 917, 727, 493, 873, 701, 931, 756, 860, 499, 731, 823, 922, 874, 918, 502, 933, 743, 760, 881, 494, 702, 921, 501, 876, 847, 992, 447, 733, 827, 934, 882, 937, 963, 747, 505, 855, 924, 734, 829, 965, 938, 884, 506, 749, 945, 966, 755, 859, 940, 830, 911, 871, 639, 888, 479, 946, 750, 969, 508, 861, 757, 970, 919, 875, 862, 758, 948, 977, 923, 972, 761, 877, 952, 495, 703, 935, 978, 883, 762, 503, 925, 878, 735, 993, 885, 939, 994, 980, 926, 764, 941, 967, 886, 831, 947, 507, 889, 984, 751, 942, 996, 971, 890, 509, 949, 973, 1000, 892, 950, 863, 759, 1008, 510, 979, 953, 763, 974, 954, 879, 981, 982, 927, 995, 765, 956, 887, 985, 997, 986, 943, 891, 998, 766, 511, 988, 1001, 951, 1002, 893, 975, 894, 1009, 955, 1004, 1010, 957, 983, 958, 987, 1012, 999, 1016, 767, 989, 1003, 990, 1005, 959, 1011, 1013, 895, 1006, 1014, 1017, 1018, 991, 1020, 1007, 1015, 1019, 1021, 1022, 1023 };
+
+static const uint16_t *Q_0_Nminus1[11] = { NULL, Q_0_Nminus1_1, Q_0_Nminus1_2, Q_0_Nminus1_3, Q_0_Nminus1_4,
+		Q_0_Nminus1_5, Q_0_Nminus1_6, Q_0_Nminus1_7, Q_0_Nminus1_8, Q_0_Nminus1_9, Q_0_Nminus1_10 };
+
+uint16_t* nr_polar_sequence_pattern(uint8_t n){
+	return Q_0_Nminus1[n];
+}
diff --git a/openair1/PHY/CODING/nrPolar_tools/nr_pucch_encoder.c b/openair1/PHY/CODING/nrPolar_tools/nr_pucch_encoder.c
new file mode 100644
index 0000000000..fd418133c2
--- /dev/null
+++ b/openair1/PHY/CODING/nrPolar_tools/nr_pucch_encoder.c
@@ -0,0 +1,310 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+
+#include "nr_polar_defs.h"
+#include "nr_polar_pucch_defs.h"
+
+void PUCCH_encoder(uint8_t a[], uint8_t A, uint8_t G, uint16_t* E_r, uint8_t** f)
+{
+// PUCCH_ENCODER Polar encoder for the Physical Uplink Control Channel (PUCCH) and the
+// Physical Uplink Shared Channel (PUSCH) of 3GPP New Radio, as defined in
+// Section 6.3 of TS38.212. Implements the code block segmentation and
+// Cyclic Redudancy Check (CRC) attachment of Sections 6.3.1.2.1 and 6.3.2.2.1,
+// the channel coding of Sections 6.3.1.3.1 and 6.3.2.3.2, the rate matching of
+// Sections 6.3.1.4.1 and 6.3.2.4.1, as well as the code block concatenation of
+// Sections 6.3.1.5.1 and 6.3.2.5.1. Note that this code does not implement the
+// UCI bit sequence generation of Sections 6.3.1.1 and 6.3.2.1, the
+// determination of the encoded block length E_UCI of Sections 6.3.1.4.1 and
+// 6.3.2.4.1, or the multiplexing of Sections 6.3.1.6 and 6.3.2.6. Also, this
+// code does not implement the small block lengths, which are detailed in
+// Sections 6.3.1.2.2, 6.3.1.3.2, 6.3.1.4.2, 6.3.2.2.2, 6.3.2.3.2 and 6.3.2.4.2.
+
+    uint8_t C=0;
+    uint8_t i;
+    uint8_t crc_polynomial_pattern_length;
+    uint8_t P[32] = {0, 1, 2, 4, 3, 5, 6, 7, 8, 16, 9, 17, 10, 18, 11, 19, 12, 20, 13, 21, 14, 22, 15, 23, 24, 25, 26, 28, 27, 29, 30, 31};
+    uint8_t* crc_polynomial_pattern;
+
+    if (A < 12) {
+        fprintf(stderr, "A should be no less than 12.");
+        exit(-1);
+    } else if (A > 1706) {
+        fprintf(stderr, "A should be no greater than 1706.");
+        exit(-1);
+    }
+    else if (A <= 19) //Use PCCA-polar
+    {
+        // The CRC polynomial used with PCCA-polar in 3GPP PUCCH channel is D^6 + D^5 + 1
+        crc_polynomial_pattern_length = 7;
+        crc_polynomial_pattern = (uint8_t *)malloc(sizeof(uint8_t)*crc_polynomial_pattern_length);
+        crc_polynomial_pattern[0] = 1;
+        crc_polynomial_pattern[1] = 1;
+        crc_polynomial_pattern[2] = 0;
+        crc_polynomial_pattern[3] = 0;
+        crc_polynomial_pattern[4] = 0;
+        crc_polynomial_pattern[5] = 0;
+        crc_polynomial_pattern[6] = 1;
+
+        C = 1; // Use one segment
+    }
+    else // Use CA-polar
+    {
+        crc_polynomial_pattern_length = 12;
+        crc_polynomial_pattern = (uint8_t *)malloc(sizeof(uint8_t)*crc_polynomial_pattern_length);
+        crc_polynomial_pattern[0] = 1;
+        crc_polynomial_pattern[1] = 1;
+        crc_polynomial_pattern[2] = 1;
+        crc_polynomial_pattern[3] = 0;
+        crc_polynomial_pattern[4] = 0;
+        crc_polynomial_pattern[5] = 0;
+        crc_polynomial_pattern[6] = 1;
+        crc_polynomial_pattern[7] = 0;
+        crc_polynomial_pattern[8] = 0;
+        crc_polynomial_pattern[9] = 0;
+        crc_polynomial_pattern[10] = 0;
+        crc_polynomial_pattern[11] = 1;
+
+        if (A >= 360 && G >= 1088 )
+            C = 2; // Use two segments
+        else
+            C = 1; // Use one segment
+    }
+
+    // Determine the number of information and CRC bits.
+    uint16_t K = ceil(A/C)+crc_polynomial_pattern_length-1;
+
+    *E_r = floor((double)G/C);
+
+    if(*E_r > 8192) {
+        fprintf(stderr, "G is too long.");
+        exit(-1);
+    }
+
+    //Determine the number of bits used at the input and output of the polar encoder kernal.
+    uint16_t N = nr_polar_coding_output_length(K, *E_r, NR_POLAR_PUCCH_N_MAX);
+	uint8_t n = log2(N);
+
+    //int N = get_3GPP_N(K,*E_r,10); //n_max = 10 is used in PUCCH channels
+    printf("DEBUG: The number of bits used at I/O of encoder kernal is %i\n", (int)N);
+
+    // Get a rate matching pattern
+	uint16_t* rate_matching_pattern = (uint16_t*)malloc(sizeof(uint16_t) * (*E_r));
+	uint16_t *J = malloc(sizeof(uint16_t) * N);
+	nr_polar_coding_rate_matching_pattern(rate_matching_pattern, J, P, K, N, *E_r);
+
+    printf("DEBUG: The rate matching pattern is ");
+    for (i=0; i<*E_r; i++) {
+        printf("%i ", (int)rate_matching_pattern[i]);
+    }
+    printf("\n");
+
+    // Get a sequence pattern
+    uint16_t *Q_0_Nminus1 = nr_polar_coding_sequence_pattern(n);
+    printf("DEBUG: The sequence pattern is ");
+    for (i=0; i<N; i++) {
+        printf("%i ", Q_0_Nminus1[i]);
+    }
+    printf("\n");
+
+    // Get the channel interleaving pattern
+    uint16_t *channel_interleaver_pattern = malloc(sizeof(uint16_t) * *E_r);
+	nr_polar_coding_channel_interleaver_pattern(channel_interleaver_pattern, 1, *E_r);
+	printf("DEBUG: The channel interleaver pattern is " );
+    for (i=0; i<*E_r; i++) {
+        printf("%i ", (int)channel_interleaver_pattern[i]);
+    }
+    printf("\n");
+
+    uint16_t n_PC; //PC bits
+    uint8_t* info_bit_pattern;
+    uint8_t** G_P;
+    uint8_t* b;
+    uint8_t* u;
+    uint8_t* d;
+    uint8_t* e;
+
+    if (A <= 19) // Use PCCA-polar
+    {
+        n_PC = 3; // 3 PC bits
+
+        // Get an information bit pattern.
+        get_3GPP_info_bit_pattern(K, n_PC, N, *E_r, P, Q_0_Nminus1, &info_bit_pattern); // -> info_bit_pattern
+        printf("DEBUG: The information bit pattern is " );
+        for (i=0; i<N; i++) {
+            printf("%i", (int)info_bit_pattern[i] );
+        }
+        printf("\n");
+
+        //Get a PC bit pattern.
+        uint8_t* PC_bit_pattern;
+        if (G-K+3 > 192)
+            get_PC_bit_pattern(N, n_PC, 1, Q_0_Nminus1, info_bit_pattern, &PC_bit_pattern); // -> PC_bit_pattern
+        else
+            get_PC_bit_pattern(N, n_PC, 0, Q_0_Nminus1, info_bit_pattern, &PC_bit_pattern); // -> PC_bit_pattern
+
+        printf("DEBUG: The PC bit pattern is " );
+        for (i=0; i<N; i++) {
+            printf("%i", PC_bit_pattern[i] );
+        }
+        printf("\n");
+
+/// ------------------
+
+        //Attach CRC to the Transport Block. (a to b)
+        get_crc_generator_matrix(A, crc_polynomial_pattern_length-1, crc_polynomial_pattern, &G_P); // -> G_P
+        nr_polar_crc(a, A, crc_polynomial_pattern_length-1, G_P, &b); //-> b
+
+        //Bit insertion
+        u = (uint8_t*) malloc(sizeof(uint8_t)*N);
+        if (u == NULL) {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        nr_polar_bit_insertion_2(u, b, info_bit_pattern, PC_bit_pattern, N); // -> u
+        free(b);
+
+        //encoding
+        d = malloc(sizeof(uint8_t) * N);
+        if (d == NULL) {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        nr_polar_kernel_operation(u, d, N); // -> d
+        free(u);
+
+        //rate matching
+        e = malloc(sizeof(uint8_t) * N);
+        if (e == NULL) {
+            fprintf(stderr, "malloc failed\n");
+            exit(-1);
+        }
+        nr_polar_coding_rate_matcher(d, e, rate_matching_pattern, (*E_r));
+        free(d);
+        printf("\ne = ");
+        for(i=0;i<(*E_r);i++)
+        {
+            printf("%i ", e[i]);
+        }
+
+        // Perform channel interleaving.
+        *f = (uint8_t*) malloc(sizeof(uint8_t)*(*E_r));
+        nr_polar_coding_interleaver(e, *f, channel_interleaver_pattern, (uint16_t)(*E_r));
+        free(e);
+        printf("\nf = ");
+        for(i=0;i<(*E_r);i++)
+        {
+            printf("%i ", (*f)[i]);
+        }
+        printf("\n\n\n ");
+    } else //Use CA-polar
+    {
+        n_PC = 0;
+
+        // Get an information bit pattern.
+        get_3GPP_info_bit_pattern(K, n_PC, N, *E_r, P, Q_0_Nminus1, &info_bit_pattern); // -> info_bit_pattern
+        printf("DEBUG: The information bit pattern is " );
+        for (i=0; i<N; i++) {
+            printf("%i", (int)info_bit_pattern[i] );
+        }
+        printf("\n");
+
+        if (C == 2)
+        {
+            //info_bit_pattern2 = info_bit_pattern;
+            uint8_t* info_bit_pattern2;
+            if(A%2) // Prepend a zero to the first segment during encoding (Treat the first information bit as a frozen bit)
+            {
+                info_bit_pattern2 = (uint8_t*)malloc(sizeof(uint8_t)*(1+N));
+                info_bit_pattern2[0] =0;
+
+                for (i=0; i<1+N; i++)
+                {
+                    info_bit_pattern2[i+1] = info_bit_pattern[i];
+                }
+            } else
+            {
+                info_bit_pattern2 = (uint8_t*)malloc(sizeof(uint8_t)*N);
+
+                for (i=0; i<N; i++)
+                {
+                    info_bit_pattern2[i] = info_bit_pattern[i];
+                }
+            }
+
+            //Attach CRC to the Transport Block. (a to b)
+            get_crc_generator_matrix(A/C, crc_polynomial_pattern_length-1, crc_polynomial_pattern, &G_P); // -> G_P
+            nr_polar_crc(a, A/C, crc_polynomial_pattern_length-1, G_P, &b); //-> b
+
+        } else
+        {
+            //Attach CRC to the Transport Block. (a to b)
+            get_crc_generator_matrix(A, crc_polynomial_pattern_length-1, crc_polynomial_pattern, &G_P); // -> G_P
+            nr_polar_crc(a, A, crc_polynomial_pattern_length-1, G_P, &b); //-> b
+        }
+
+            //Bit insertion
+            u = (uint8_t*) malloc(sizeof(uint8_t)*N);
+            if (u == NULL) {
+                fprintf(stderr, "malloc failed\n");
+                exit(-1);
+            }
+            int j=0;
+            printf("\nu = ");
+            for(i=0; i<N; i++)
+            {
+                if(info_bit_pattern[i])
+                {
+                    u[i]=b[j];
+                    j++;
+                }
+                else
+                    u[i]=0;
+
+                printf("%i ", u[i]);
+            }
+            free(b);
+
+            //encoding
+            d = malloc(sizeof(uint8_t) * N);
+            if (d == NULL) {
+                fprintf(stderr, "malloc failed\n");
+                exit(-1);
+            }
+            nr_polar_kernel_operation(u, d, N); // -> d
+            free(u);
+
+            //rate matching
+            e = malloc(sizeof(uint8_t) * N);
+            if (e == NULL) {
+                fprintf(stderr, "malloc failed\n");
+                exit(-1);
+            }
+            nr_polar_coding_rate_matcher(d, e, rate_matching_pattern, (*E_r));
+            free(d);
+            printf("\ne = ");
+            for(i=0;i<(*E_r);i++)
+            {
+                printf("%i ", e[i]);
+            }
+
+            // Perform channel interleaving.
+            *f = (uint8_t*) malloc(sizeof(uint8_t)*(*E_r));
+            nr_polar_coding_interleaver(e, *f, channel_interleaver_pattern, (uint16_t)(*E_r));
+            free(e);
+            printf("\nf = ");
+            for(i=0;i<(*E_r);i++)
+            {
+                printf("%i ", (*f)[i]);
+            }
+            printf("\n\n\n ");
+
+
+
+
+    }
+//
+//    free(crc_polynomial_pattern);
+//    //free others...
+
+}
-- 
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