// qra12_63_64_irr_b.c // Encoding/Decoding tables for Q-ary RA code (12,63) over GF(64) // Code Name: qra12_63_64_irr_b // (12,63) RA Code over GF(64) - RF=333344455567 // (c) 2016 - Nico Palermo - IV3NWV - Microtelecom Srl, Italy // This file is part of the qracodes project, a Forward Error Control // encoding/decoding package based on Q-ary RA (Repeat and Accumulate) LDPC codes. // // qracodes is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // qracodes is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with qracodes source distribution. // If not, see . #include "qra12_63_64_irr_b.h" #define qra_K 12 // number of information symbols #define qra_N 63 // codeword length in symbols #define qra_m 6 // bits/symbol #define qra_M 64 // Symbol alphabet cardinality #define qra_a 1 // grouping factor #define qra_NC 51 // number of check symbols (N-K) // Defines used by the message passing decoder -------- #define qra_V 63 // number of variables in the code graph (N) #define qra_C 115 // number of factors in the code graph (N +(N-K)+1) #define qra_NMSG 217 // number of msgs in the code graph #define qra_MAXVDEG 8 // maximum variable degree #define qra_MAXCDEG 3 // maximum factor degree #define qra_R 0.19048f // code rate (K/N) #define CODE_NAME "qra_12_63_64_irr_b" // table of the systematic symbols indexes in the accumulator chain static const int qra_acc_input_idx[qra_NC+1] = { 3, 11, 0, 1, 7, 8, 6, 5, 10, 4, 11, 9, 0, 2, 6, 7, 8, 4, 11, 5, 10, 2, 1, 9, 3, 8, 4, 11, 5, 7, 10, 9, 6, 3, 11, 5, 8, 10, 0, 7, 9, 11, 4, 2, 10, 6, 8, 1, 9, 7, 11, 10 }; // table of the systematic symbols weight logarithms over GF(M) static const int qra_acc_input_wlog[qra_NC+1] = { 39, 0, 34, 16, 25, 0, 34, 48, 19, 13, 29, 56, 0, 5, 39, 42, 31, 0, 10, 0, 57, 62, 33, 43, 0, 14, 22, 48, 28, 20, 5, 45, 16, 43, 17, 4, 32, 0, 31, 0, 0, 28, 57, 0, 18, 0, 60, 0, 10, 31, 57, 27 }; // table of the logarithms of the elements of GF(M) (log(0) never used) static const int qra_log[qra_M] = { -1, 0, 1, 6, 2, 12, 7, 26, 3, 32, 13, 35, 8, 48, 27, 18, 4, 24, 33, 16, 14, 52, 36, 54, 9, 45, 49, 38, 28, 41, 19, 56, 5, 62, 25, 11, 34, 31, 17, 47, 15, 23, 53, 51, 37, 44, 55, 40, 10, 61, 46, 30, 50, 22, 39, 43, 29, 60, 42, 21, 20, 59, 57, 58 }; // table of GF(M) elements given their logarithm static const int qra_exp[qra_M-1] = { 1, 2, 4, 8, 16, 32, 3, 6, 12, 24, 48, 35, 5, 10, 20, 40, 19, 38, 15, 30, 60, 59, 53, 41, 17, 34, 7, 14, 28, 56, 51, 37, 9, 18, 36, 11, 22, 44, 27, 54, 47, 29, 58, 55, 45, 25, 50, 39, 13, 26, 52, 43, 21, 42, 23, 46, 31, 62, 63, 61, 57, 49, 33 }; // table of the messages weight logarithms over GF(M) static const int qra_msgw[qra_NMSG] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, 34, 16, 25, 0, 34, 48, 19, 13, 29, 56, 0, 5, 39, 42, 31, 0, 10, 0, 57, 62, 33, 43, 0, 14, 22, 48, 28, 20, 5, 45, 16, 43, 17, 4, 32, 0, 31, 0, 0, 28, 57, 0, 18, 0, 60, 0, 10, 31, 57, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; // table of the degrees of the variable nodes static const int qra_vdeg[qra_V] = { 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 }; // table of the degrees of the factor nodes static const int qra_cdeg[qra_C] = { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2 }; // table (uncompressed) of the v->c message indexes (-1=unused entry) static const int qra_v2cmidx[qra_V*qra_MAXVDEG] = { 0, 65, 75, 101, -1, -1, -1, -1, 1, 66, 85, 110, -1, -1, -1, -1, 2, 76, 84, 106, -1, -1, -1, -1, 3, 63, 87, 96, -1, -1, -1, -1, 4, 72, 80, 89, 105, -1, -1, -1, 5, 70, 82, 91, 98, -1, -1, -1, 6, 69, 77, 95, 108, -1, -1, -1, 7, 67, 78, 92, 102, 112, -1, -1, 8, 68, 79, 88, 99, 109, -1, -1, 9, 74, 86, 94, 103, 111, -1, -1, 10, 71, 83, 93, 100, 107, 114, -1, 11, 64, 73, 81, 90, 97, 104, 113, 12, 115, 116, -1, -1, -1, -1, -1, 13, 117, 118, -1, -1, -1, -1, -1, 14, 119, 120, -1, -1, -1, -1, -1, 15, 121, 122, -1, -1, -1, -1, -1, 16, 123, 124, -1, -1, -1, -1, -1, 17, 125, 126, -1, -1, -1, -1, -1, 18, 127, 128, -1, -1, -1, -1, -1, 19, 129, 130, -1, -1, -1, -1, -1, 20, 131, 132, -1, -1, -1, -1, -1, 21, 133, 134, -1, -1, -1, -1, -1, 22, 135, 136, -1, -1, -1, -1, -1, 23, 137, 138, -1, -1, -1, -1, -1, 24, 139, 140, -1, -1, -1, -1, -1, 25, 141, 142, -1, -1, -1, -1, -1, 26, 143, 144, -1, -1, -1, -1, -1, 27, 145, 146, -1, -1, -1, -1, -1, 28, 147, 148, -1, -1, -1, -1, -1, 29, 149, 150, -1, -1, -1, -1, -1, 30, 151, 152, -1, -1, -1, -1, -1, 31, 153, 154, -1, -1, -1, -1, -1, 32, 155, 156, -1, -1, -1, -1, -1, 33, 157, 158, -1, -1, -1, -1, -1, 34, 159, 160, -1, -1, -1, -1, -1, 35, 161, 162, -1, -1, -1, -1, -1, 36, 163, 164, -1, -1, -1, -1, -1, 37, 165, 166, -1, -1, -1, -1, -1, 38, 167, 168, -1, -1, -1, -1, -1, 39, 169, 170, -1, -1, -1, -1, -1, 40, 171, 172, -1, -1, -1, -1, -1, 41, 173, 174, -1, -1, -1, -1, -1, 42, 175, 176, -1, -1, -1, -1, -1, 43, 177, 178, -1, -1, -1, -1, -1, 44, 179, 180, -1, -1, -1, -1, -1, 45, 181, 182, -1, -1, -1, -1, -1, 46, 183, 184, -1, -1, -1, -1, -1, 47, 185, 186, -1, -1, -1, -1, -1, 48, 187, 188, -1, -1, -1, -1, -1, 49, 189, 190, -1, -1, -1, -1, -1, 50, 191, 192, -1, -1, -1, -1, -1, 51, 193, 194, -1, -1, -1, -1, -1, 52, 195, 196, -1, -1, -1, -1, -1, 53, 197, 198, -1, -1, -1, -1, -1, 54, 199, 200, -1, -1, -1, -1, -1, 55, 201, 202, -1, -1, -1, -1, -1, 56, 203, 204, -1, -1, -1, -1, -1, 57, 205, 206, -1, -1, -1, -1, -1, 58, 207, 208, -1, -1, -1, -1, -1, 59, 209, 210, -1, -1, -1, -1, -1, 60, 211, 212, -1, -1, -1, -1, -1, 61, 213, 214, -1, -1, -1, -1, -1, 62, 215, 216, -1, -1, -1, -1, -1 }; // table (uncompressed) of the c->v message indexes (-1=unused entry) static const int qra_c2vmidx[qra_C*qra_MAXCDEG] = { 0, -1, -1, 1, -1, -1, 2, -1, -1, 3, -1, -1, 4, -1, -1, 5, -1, -1, 6, -1, -1, 7, -1, -1, 8, -1, -1, 9, -1, -1, 10, -1, -1, 11, -1, -1, 12, -1, -1, 13, -1, -1, 14, -1, -1, 15, -1, -1, 16, -1, -1, 17, -1, -1, 18, -1, -1, 19, -1, -1, 20, -1, -1, 21, -1, -1, 22, -1, -1, 23, -1, -1, 24, -1, -1, 25, -1, -1, 26, -1, -1, 27, -1, -1, 28, -1, -1, 29, -1, -1, 30, -1, -1, 31, -1, -1, 32, -1, -1, 33, -1, -1, 34, -1, -1, 35, -1, -1, 36, -1, -1, 37, -1, -1, 38, -1, -1, 39, -1, -1, 40, -1, -1, 41, -1, -1, 42, -1, -1, 43, -1, -1, 44, -1, -1, 45, -1, -1, 46, -1, -1, 47, -1, -1, 48, -1, -1, 49, -1, -1, 50, -1, -1, 51, -1, -1, 52, -1, -1, 53, -1, -1, 54, -1, -1, 55, -1, -1, 56, -1, -1, 57, -1, -1, 58, -1, -1, 59, -1, -1, 60, -1, -1, 61, -1, -1, 62, -1, -1, 63, 115, -1, 64, 116, 117, 65, 118, 119, 66, 120, 121, 67, 122, 123, 68, 124, 125, 69, 126, 127, 70, 128, 129, 71, 130, 131, 72, 132, 133, 73, 134, 135, 74, 136, 137, 75, 138, 139, 76, 140, 141, 77, 142, 143, 78, 144, 145, 79, 146, 147, 80, 148, 149, 81, 150, 151, 82, 152, 153, 83, 154, 155, 84, 156, 157, 85, 158, 159, 86, 160, 161, 87, 162, 163, 88, 164, 165, 89, 166, 167, 90, 168, 169, 91, 170, 171, 92, 172, 173, 93, 174, 175, 94, 176, 177, 95, 178, 179, 96, 180, 181, 97, 182, 183, 98, 184, 185, 99, 186, 187, 100, 188, 189, 101, 190, 191, 102, 192, 193, 103, 194, 195, 104, 196, 197, 105, 198, 199, 106, 200, 201, 107, 202, 203, 108, 204, 205, 109, 206, 207, 110, 208, 209, 111, 210, 211, 112, 212, 213, 113, 214, 215, 114, 216, -1 }; // permutation matrix to compute Prob(x*alfa^logw) static const int qra_pmat[qra_M*qra_M] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 0, 33, 1, 32, 2, 35, 3, 34, 4, 37, 5, 36, 6, 39, 7, 38, 8, 41, 9, 40, 10, 43, 11, 42, 12, 45, 13, 44, 14, 47, 15, 46, 16, 49, 17, 48, 18, 51, 19, 50, 20, 53, 21, 52, 22, 55, 23, 54, 24, 57, 25, 56, 26, 59, 27, 58, 28, 61, 29, 60, 30, 63, 31, 62, 0, 49, 33, 16, 1, 48, 32, 17, 2, 51, 35, 18, 3, 50, 34, 19, 4, 53, 37, 20, 5, 52, 36, 21, 6, 55, 39, 22, 7, 54, 38, 23, 8, 57, 41, 24, 9, 56, 40, 25, 10, 59, 43, 26, 11, 58, 42, 27, 12, 61, 45, 28, 13, 60, 44, 29, 14, 63, 47, 30, 15, 62, 46, 31, 0, 57, 49, 8, 33, 24, 16, 41, 1, 56, 48, 9, 32, 25, 17, 40, 2, 59, 51, 10, 35, 26, 18, 43, 3, 58, 50, 11, 34, 27, 19, 42, 4, 61, 53, 12, 37, 28, 20, 45, 5, 60, 52, 13, 36, 29, 21, 44, 6, 63, 55, 14, 39, 30, 22, 47, 7, 62, 54, 15, 38, 31, 23, 46, 0, 61, 57, 4, 49, 12, 8, 53, 33, 28, 24, 37, 16, 45, 41, 20, 1, 60, 56, 5, 48, 13, 9, 52, 32, 29, 25, 36, 17, 44, 40, 21, 2, 63, 59, 6, 51, 14, 10, 55, 35, 30, 26, 39, 18, 47, 43, 22, 3, 62, 58, 7, 50, 15, 11, 54, 34, 31, 27, 38, 19, 46, 42, 23, 0, 63, 61, 2, 57, 6, 4, 59, 49, 14, 12, 51, 8, 55, 53, 10, 33, 30, 28, 35, 24, 39, 37, 26, 16, 47, 45, 18, 41, 22, 20, 43, 1, 62, 60, 3, 56, 7, 5, 58, 48, 15, 13, 50, 9, 54, 52, 11, 32, 31, 29, 34, 25, 38, 36, 27, 17, 46, 44, 19, 40, 23, 21, 42, 0, 62, 63, 1, 61, 3, 2, 60, 57, 7, 6, 56, 4, 58, 59, 5, 49, 15, 14, 48, 12, 50, 51, 13, 8, 54, 55, 9, 53, 11, 10, 52, 33, 31, 30, 32, 28, 34, 35, 29, 24, 38, 39, 25, 37, 27, 26, 36, 16, 46, 47, 17, 45, 19, 18, 44, 41, 23, 22, 40, 20, 42, 43, 21, 0, 31, 62, 33, 63, 32, 1, 30, 61, 34, 3, 28, 2, 29, 60, 35, 57, 38, 7, 24, 6, 25, 56, 39, 4, 27, 58, 37, 59, 36, 5, 26, 49, 46, 15, 16, 14, 17, 48, 47, 12, 19, 50, 45, 51, 44, 13, 18, 8, 23, 54, 41, 55, 40, 9, 22, 53, 42, 11, 20, 10, 21, 52, 43, 0, 46, 31, 49, 62, 16, 33, 15, 63, 17, 32, 14, 1, 47, 30, 48, 61, 19, 34, 12, 3, 45, 28, 50, 2, 44, 29, 51, 60, 18, 35, 13, 57, 23, 38, 8, 7, 41, 24, 54, 6, 40, 25, 55, 56, 22, 39, 9, 4, 42, 27, 53, 58, 20, 37, 11, 59, 21, 36, 10, 5, 43, 26, 52, 0, 23, 46, 57, 31, 8, 49, 38, 62, 41, 16, 7, 33, 54, 15, 24, 63, 40, 17, 6, 32, 55, 14, 25, 1, 22, 47, 56, 30, 9, 48, 39, 61, 42, 19, 4, 34, 53, 12, 27, 3, 20, 45, 58, 28, 11, 50, 37, 2, 21, 44, 59, 29, 10, 51, 36, 60, 43, 18, 5, 35, 52, 13, 26, 0, 42, 23, 61, 46, 4, 57, 19, 31, 53, 8, 34, 49, 27, 38, 12, 62, 20, 41, 3, 16, 58, 7, 45, 33, 11, 54, 28, 15, 37, 24, 50, 63, 21, 40, 2, 17, 59, 6, 44, 32, 10, 55, 29, 14, 36, 25, 51, 1, 43, 22, 60, 47, 5, 56, 18, 30, 52, 9, 35, 48, 26, 39, 13, 0, 21, 42, 63, 23, 2, 61, 40, 46, 59, 4, 17, 57, 44, 19, 6, 31, 10, 53, 32, 8, 29, 34, 55, 49, 36, 27, 14, 38, 51, 12, 25, 62, 43, 20, 1, 41, 60, 3, 22, 16, 5, 58, 47, 7, 18, 45, 56, 33, 52, 11, 30, 54, 35, 28, 9, 15, 26, 37, 48, 24, 13, 50, 39, 0, 43, 21, 62, 42, 1, 63, 20, 23, 60, 2, 41, 61, 22, 40, 3, 46, 5, 59, 16, 4, 47, 17, 58, 57, 18, 44, 7, 19, 56, 6, 45, 31, 52, 10, 33, 53, 30, 32, 11, 8, 35, 29, 54, 34, 9, 55, 28, 49, 26, 36, 15, 27, 48, 14, 37, 38, 13, 51, 24, 12, 39, 25, 50, 0, 52, 43, 31, 21, 33, 62, 10, 42, 30, 1, 53, 63, 11, 20, 32, 23, 35, 60, 8, 2, 54, 41, 29, 61, 9, 22, 34, 40, 28, 3, 55, 46, 26, 5, 49, 59, 15, 16, 36, 4, 48, 47, 27, 17, 37, 58, 14, 57, 13, 18, 38, 44, 24, 7, 51, 19, 39, 56, 12, 6, 50, 45, 25, 0, 26, 52, 46, 43, 49, 31, 5, 21, 15, 33, 59, 62, 36, 10, 16, 42, 48, 30, 4, 1, 27, 53, 47, 63, 37, 11, 17, 20, 14, 32, 58, 23, 13, 35, 57, 60, 38, 8, 18, 2, 24, 54, 44, 41, 51, 29, 7, 61, 39, 9, 19, 22, 12, 34, 56, 40, 50, 28, 6, 3, 25, 55, 45, 0, 13, 26, 23, 52, 57, 46, 35, 43, 38, 49, 60, 31, 18, 5, 8, 21, 24, 15, 2, 33, 44, 59, 54, 62, 51, 36, 41, 10, 7, 16, 29, 42, 39, 48, 61, 30, 19, 4, 9, 1, 12, 27, 22, 53, 56, 47, 34, 63, 50, 37, 40, 11, 6, 17, 28, 20, 25, 14, 3, 32, 45, 58, 55, 0, 39, 13, 42, 26, 61, 23, 48, 52, 19, 57, 30, 46, 9, 35, 4, 43, 12, 38, 1, 49, 22, 60, 27, 31, 56, 18, 53, 5, 34, 8, 47, 21, 50, 24, 63, 15, 40, 2, 37, 33, 6, 44, 11, 59, 28, 54, 17, 62, 25, 51, 20, 36, 3, 41, 14, 10, 45, 7, 32, 16, 55, 29, 58, 0, 50, 39, 21, 13, 63, 42, 24, 26, 40, 61, 15, 23, 37, 48, 2, 52, 6, 19, 33, 57, 11, 30, 44, 46, 28, 9, 59, 35, 17, 4, 54, 43, 25, 12, 62, 38, 20, 1, 51, 49, 3, 22, 36, 60, 14, 27, 41, 31, 45, 56, 10, 18, 32, 53, 7, 5, 55, 34, 16, 8, 58, 47, 29, 0, 25, 50, 43, 39, 62, 21, 12, 13, 20, 63, 38, 42, 51, 24, 1, 26, 3, 40, 49, 61, 36, 15, 22, 23, 14, 37, 60, 48, 41, 2, 27, 52, 45, 6, 31, 19, 10, 33, 56, 57, 32, 11, 18, 30, 7, 44, 53, 46, 55, 28, 5, 9, 16, 59, 34, 35, 58, 17, 8, 4, 29, 54, 47, 0, 45, 25, 52, 50, 31, 43, 6, 39, 10, 62, 19, 21, 56, 12, 33, 13, 32, 20, 57, 63, 18, 38, 11, 42, 7, 51, 30, 24, 53, 1, 44, 26, 55, 3, 46, 40, 5, 49, 28, 61, 16, 36, 9, 15, 34, 22, 59, 23, 58, 14, 35, 37, 8, 60, 17, 48, 29, 41, 4, 2, 47, 27, 54, 0, 55, 45, 26, 25, 46, 52, 3, 50, 5, 31, 40, 43, 28, 6, 49, 39, 16, 10, 61, 62, 9, 19, 36, 21, 34, 56, 15, 12, 59, 33, 22, 13, 58, 32, 23, 20, 35, 57, 14, 63, 8, 18, 37, 38, 17, 11, 60, 42, 29, 7, 48, 51, 4, 30, 41, 24, 47, 53, 2, 1, 54, 44, 27, 0, 58, 55, 13, 45, 23, 26, 32, 25, 35, 46, 20, 52, 14, 3, 57, 50, 8, 5, 63, 31, 37, 40, 18, 43, 17, 28, 38, 6, 60, 49, 11, 39, 29, 16, 42, 10, 48, 61, 7, 62, 4, 9, 51, 19, 41, 36, 30, 21, 47, 34, 24, 56, 2, 15, 53, 12, 54, 59, 1, 33, 27, 22, 44, 0, 29, 58, 39, 55, 42, 13, 16, 45, 48, 23, 10, 26, 7, 32, 61, 25, 4, 35, 62, 46, 51, 20, 9, 52, 41, 14, 19, 3, 30, 57, 36, 50, 47, 8, 21, 5, 24, 63, 34, 31, 2, 37, 56, 40, 53, 18, 15, 43, 54, 17, 12, 28, 1, 38, 59, 6, 27, 60, 33, 49, 44, 11, 22, 0, 47, 29, 50, 58, 21, 39, 8, 55, 24, 42, 5, 13, 34, 16, 63, 45, 2, 48, 31, 23, 56, 10, 37, 26, 53, 7, 40, 32, 15, 61, 18, 25, 54, 4, 43, 35, 12, 62, 17, 46, 1, 51, 28, 20, 59, 9, 38, 52, 27, 41, 6, 14, 33, 19, 60, 3, 44, 30, 49, 57, 22, 36, 11, 0, 54, 47, 25, 29, 43, 50, 4, 58, 12, 21, 35, 39, 17, 8, 62, 55, 1, 24, 46, 42, 28, 5, 51, 13, 59, 34, 20, 16, 38, 63, 9, 45, 27, 2, 52, 48, 6, 31, 41, 23, 33, 56, 14, 10, 60, 37, 19, 26, 44, 53, 3, 7, 49, 40, 30, 32, 22, 15, 57, 61, 11, 18, 36, 0, 27, 54, 45, 47, 52, 25, 2, 29, 6, 43, 48, 50, 41, 4, 31, 58, 33, 12, 23, 21, 14, 35, 56, 39, 60, 17, 10, 8, 19, 62, 37, 55, 44, 1, 26, 24, 3, 46, 53, 42, 49, 28, 7, 5, 30, 51, 40, 13, 22, 59, 32, 34, 57, 20, 15, 16, 11, 38, 61, 63, 36, 9, 18, 0, 44, 27, 55, 54, 26, 45, 1, 47, 3, 52, 24, 25, 53, 2, 46, 29, 49, 6, 42, 43, 7, 48, 28, 50, 30, 41, 5, 4, 40, 31, 51, 58, 22, 33, 13, 12, 32, 23, 59, 21, 57, 14, 34, 35, 15, 56, 20, 39, 11, 60, 16, 17, 61, 10, 38, 8, 36, 19, 63, 62, 18, 37, 9, 0, 22, 44, 58, 27, 13, 55, 33, 54, 32, 26, 12, 45, 59, 1, 23, 47, 57, 3, 21, 52, 34, 24, 14, 25, 15, 53, 35, 2, 20, 46, 56, 29, 11, 49, 39, 6, 16, 42, 60, 43, 61, 7, 17, 48, 38, 28, 10, 50, 36, 30, 8, 41, 63, 5, 19, 4, 18, 40, 62, 31, 9, 51, 37, 0, 11, 22, 29, 44, 39, 58, 49, 27, 16, 13, 6, 55, 60, 33, 42, 54, 61, 32, 43, 26, 17, 12, 7, 45, 38, 59, 48, 1, 10, 23, 28, 47, 36, 57, 50, 3, 8, 21, 30, 52, 63, 34, 41, 24, 19, 14, 5, 25, 18, 15, 4, 53, 62, 35, 40, 2, 9, 20, 31, 46, 37, 56, 51, 0, 36, 11, 47, 22, 50, 29, 57, 44, 8, 39, 3, 58, 30, 49, 21, 27, 63, 16, 52, 13, 41, 6, 34, 55, 19, 60, 24, 33, 5, 42, 14, 54, 18, 61, 25, 32, 4, 43, 15, 26, 62, 17, 53, 12, 40, 7, 35, 45, 9, 38, 2, 59, 31, 48, 20, 1, 37, 10, 46, 23, 51, 28, 56, 0, 18, 36, 54, 11, 25, 47, 61, 22, 4, 50, 32, 29, 15, 57, 43, 44, 62, 8, 26, 39, 53, 3, 17, 58, 40, 30, 12, 49, 35, 21, 7, 27, 9, 63, 45, 16, 2, 52, 38, 13, 31, 41, 59, 6, 20, 34, 48, 55, 37, 19, 1, 60, 46, 24, 10, 33, 51, 5, 23, 42, 56, 14, 28, 0, 9, 18, 27, 36, 45, 54, 63, 11, 2, 25, 16, 47, 38, 61, 52, 22, 31, 4, 13, 50, 59, 32, 41, 29, 20, 15, 6, 57, 48, 43, 34, 44, 37, 62, 55, 8, 1, 26, 19, 39, 46, 53, 60, 3, 10, 17, 24, 58, 51, 40, 33, 30, 23, 12, 5, 49, 56, 35, 42, 21, 28, 7, 14, 0, 37, 9, 44, 18, 55, 27, 62, 36, 1, 45, 8, 54, 19, 63, 26, 11, 46, 2, 39, 25, 60, 16, 53, 47, 10, 38, 3, 61, 24, 52, 17, 22, 51, 31, 58, 4, 33, 13, 40, 50, 23, 59, 30, 32, 5, 41, 12, 29, 56, 20, 49, 15, 42, 6, 35, 57, 28, 48, 21, 43, 14, 34, 7, 0, 51, 37, 22, 9, 58, 44, 31, 18, 33, 55, 4, 27, 40, 62, 13, 36, 23, 1, 50, 45, 30, 8, 59, 54, 5, 19, 32, 63, 12, 26, 41, 11, 56, 46, 29, 2, 49, 39, 20, 25, 42, 60, 15, 16, 35, 53, 6, 47, 28, 10, 57, 38, 21, 3, 48, 61, 14, 24, 43, 52, 7, 17, 34, 0, 56, 51, 11, 37, 29, 22, 46, 9, 49, 58, 2, 44, 20, 31, 39, 18, 42, 33, 25, 55, 15, 4, 60, 27, 35, 40, 16, 62, 6, 13, 53, 36, 28, 23, 47, 1, 57, 50, 10, 45, 21, 30, 38, 8, 48, 59, 3, 54, 14, 5, 61, 19, 43, 32, 24, 63, 7, 12, 52, 26, 34, 41, 17, 0, 28, 56, 36, 51, 47, 11, 23, 37, 57, 29, 1, 22, 10, 46, 50, 9, 21, 49, 45, 58, 38, 2, 30, 44, 48, 20, 8, 31, 3, 39, 59, 18, 14, 42, 54, 33, 61, 25, 5, 55, 43, 15, 19, 4, 24, 60, 32, 27, 7, 35, 63, 40, 52, 16, 12, 62, 34, 6, 26, 13, 17, 53, 41, 0, 14, 28, 18, 56, 54, 36, 42, 51, 61, 47, 33, 11, 5, 23, 25, 37, 43, 57, 55, 29, 19, 1, 15, 22, 24, 10, 4, 46, 32, 50, 60, 9, 7, 21, 27, 49, 63, 45, 35, 58, 52, 38, 40, 2, 12, 30, 16, 44, 34, 48, 62, 20, 26, 8, 6, 31, 17, 3, 13, 39, 41, 59, 53, 0, 7, 14, 9, 28, 27, 18, 21, 56, 63, 54, 49, 36, 35, 42, 45, 51, 52, 61, 58, 47, 40, 33, 38, 11, 12, 5, 2, 23, 16, 25, 30, 37, 34, 43, 44, 57, 62, 55, 48, 29, 26, 19, 20, 1, 6, 15, 8, 22, 17, 24, 31, 10, 13, 4, 3, 46, 41, 32, 39, 50, 53, 60, 59, 0, 34, 7, 37, 14, 44, 9, 43, 28, 62, 27, 57, 18, 48, 21, 55, 56, 26, 63, 29, 54, 20, 49, 19, 36, 6, 35, 1, 42, 8, 45, 15, 51, 17, 52, 22, 61, 31, 58, 24, 47, 13, 40, 10, 33, 3, 38, 4, 11, 41, 12, 46, 5, 39, 2, 32, 23, 53, 16, 50, 25, 59, 30, 60, 0, 17, 34, 51, 7, 22, 37, 52, 14, 31, 44, 61, 9, 24, 43, 58, 28, 13, 62, 47, 27, 10, 57, 40, 18, 3, 48, 33, 21, 4, 55, 38, 56, 41, 26, 11, 63, 46, 29, 12, 54, 39, 20, 5, 49, 32, 19, 2, 36, 53, 6, 23, 35, 50, 1, 16, 42, 59, 8, 25, 45, 60, 15, 30, 0, 41, 17, 56, 34, 11, 51, 26, 7, 46, 22, 63, 37, 12, 52, 29, 14, 39, 31, 54, 44, 5, 61, 20, 9, 32, 24, 49, 43, 2, 58, 19, 28, 53, 13, 36, 62, 23, 47, 6, 27, 50, 10, 35, 57, 16, 40, 1, 18, 59, 3, 42, 48, 25, 33, 8, 21, 60, 4, 45, 55, 30, 38, 15, 0, 53, 41, 28, 17, 36, 56, 13, 34, 23, 11, 62, 51, 6, 26, 47, 7, 50, 46, 27, 22, 35, 63, 10, 37, 16, 12, 57, 52, 1, 29, 40, 14, 59, 39, 18, 31, 42, 54, 3, 44, 25, 5, 48, 61, 8, 20, 33, 9, 60, 32, 21, 24, 45, 49, 4, 43, 30, 2, 55, 58, 15, 19, 38, 0, 59, 53, 14, 41, 18, 28, 39, 17, 42, 36, 31, 56, 3, 13, 54, 34, 25, 23, 44, 11, 48, 62, 5, 51, 8, 6, 61, 26, 33, 47, 20, 7, 60, 50, 9, 46, 21, 27, 32, 22, 45, 35, 24, 63, 4, 10, 49, 37, 30, 16, 43, 12, 55, 57, 2, 52, 15, 1, 58, 29, 38, 40, 19, 0, 60, 59, 7, 53, 9, 14, 50, 41, 21, 18, 46, 28, 32, 39, 27, 17, 45, 42, 22, 36, 24, 31, 35, 56, 4, 3, 63, 13, 49, 54, 10, 34, 30, 25, 37, 23, 43, 44, 16, 11, 55, 48, 12, 62, 2, 5, 57, 51, 15, 8, 52, 6, 58, 61, 1, 26, 38, 33, 29, 47, 19, 20, 40, 0, 30, 60, 34, 59, 37, 7, 25, 53, 43, 9, 23, 14, 16, 50, 44, 41, 55, 21, 11, 18, 12, 46, 48, 28, 2, 32, 62, 39, 57, 27, 5, 17, 15, 45, 51, 42, 52, 22, 8, 36, 58, 24, 6, 31, 1, 35, 61, 56, 38, 4, 26, 3, 29, 63, 33, 13, 19, 49, 47, 54, 40, 10, 20, 0, 15, 30, 17, 60, 51, 34, 45, 59, 52, 37, 42, 7, 8, 25, 22, 53, 58, 43, 36, 9, 6, 23, 24, 14, 1, 16, 31, 50, 61, 44, 35, 41, 38, 55, 56, 21, 26, 11, 4, 18, 29, 12, 3, 46, 33, 48, 63, 28, 19, 2, 13, 32, 47, 62, 49, 39, 40, 57, 54, 27, 20, 5, 10, 0, 38, 15, 41, 30, 56, 17, 55, 60, 26, 51, 21, 34, 4, 45, 11, 59, 29, 52, 18, 37, 3, 42, 12, 7, 33, 8, 46, 25, 63, 22, 48, 53, 19, 58, 28, 43, 13, 36, 2, 9, 47, 6, 32, 23, 49, 24, 62, 14, 40, 1, 39, 16, 54, 31, 57, 50, 20, 61, 27, 44, 10, 35, 5, 0, 19, 38, 53, 15, 28, 41, 58, 30, 13, 56, 43, 17, 2, 55, 36, 60, 47, 26, 9, 51, 32, 21, 6, 34, 49, 4, 23, 45, 62, 11, 24, 59, 40, 29, 14, 52, 39, 18, 1, 37, 54, 3, 16, 42, 57, 12, 31, 7, 20, 33, 50, 8, 27, 46, 61, 25, 10, 63, 44, 22, 5, 48, 35, 0, 40, 19, 59, 38, 14, 53, 29, 15, 39, 28, 52, 41, 1, 58, 18, 30, 54, 13, 37, 56, 16, 43, 3, 17, 57, 2, 42, 55, 31, 36, 12, 60, 20, 47, 7, 26, 50, 9, 33, 51, 27, 32, 8, 21, 61, 6, 46, 34, 10, 49, 25, 4, 44, 23, 63, 45, 5, 62, 22, 11, 35, 24, 48, 0, 20, 40, 60, 19, 7, 59, 47, 38, 50, 14, 26, 53, 33, 29, 9, 15, 27, 39, 51, 28, 8, 52, 32, 41, 61, 1, 21, 58, 46, 18, 6, 30, 10, 54, 34, 13, 25, 37, 49, 56, 44, 16, 4, 43, 63, 3, 23, 17, 5, 57, 45, 2, 22, 42, 62, 55, 35, 31, 11, 36, 48, 12, 24, 0, 10, 20, 30, 40, 34, 60, 54, 19, 25, 7, 13, 59, 49, 47, 37, 38, 44, 50, 56, 14, 4, 26, 16, 53, 63, 33, 43, 29, 23, 9, 3, 15, 5, 27, 17, 39, 45, 51, 57, 28, 22, 8, 2, 52, 62, 32, 42, 41, 35, 61, 55, 1, 11, 21, 31, 58, 48, 46, 36, 18, 24, 6, 12, 0, 5, 10, 15, 20, 17, 30, 27, 40, 45, 34, 39, 60, 57, 54, 51, 19, 22, 25, 28, 7, 2, 13, 8, 59, 62, 49, 52, 47, 42, 37, 32, 38, 35, 44, 41, 50, 55, 56, 61, 14, 11, 4, 1, 26, 31, 16, 21, 53, 48, 63, 58, 33, 36, 43, 46, 29, 24, 23, 18, 9, 12, 3, 6, 0, 35, 5, 38, 10, 41, 15, 44, 20, 55, 17, 50, 30, 61, 27, 56, 40, 11, 45, 14, 34, 1, 39, 4, 60, 31, 57, 26, 54, 21, 51, 16, 19, 48, 22, 53, 25, 58, 28, 63, 7, 36, 2, 33, 13, 46, 8, 43, 59, 24, 62, 29, 49, 18, 52, 23, 47, 12, 42, 9, 37, 6, 32, 3, 0, 48, 35, 19, 5, 53, 38, 22, 10, 58, 41, 25, 15, 63, 44, 28, 20, 36, 55, 7, 17, 33, 50, 2, 30, 46, 61, 13, 27, 43, 56, 8, 40, 24, 11, 59, 45, 29, 14, 62, 34, 18, 1, 49, 39, 23, 4, 52, 60, 12, 31, 47, 57, 9, 26, 42, 54, 6, 21, 37, 51, 3, 16, 32, 0, 24, 48, 40, 35, 59, 19, 11, 5, 29, 53, 45, 38, 62, 22, 14, 10, 18, 58, 34, 41, 49, 25, 1, 15, 23, 63, 39, 44, 52, 28, 4, 20, 12, 36, 60, 55, 47, 7, 31, 17, 9, 33, 57, 50, 42, 2, 26, 30, 6, 46, 54, 61, 37, 13, 21, 27, 3, 43, 51, 56, 32, 8, 16, 0, 12, 24, 20, 48, 60, 40, 36, 35, 47, 59, 55, 19, 31, 11, 7, 5, 9, 29, 17, 53, 57, 45, 33, 38, 42, 62, 50, 22, 26, 14, 2, 10, 6, 18, 30, 58, 54, 34, 46, 41, 37, 49, 61, 25, 21, 1, 13, 15, 3, 23, 27, 63, 51, 39, 43, 44, 32, 52, 56, 28, 16, 4, 8, 0, 6, 12, 10, 24, 30, 20, 18, 48, 54, 60, 58, 40, 46, 36, 34, 35, 37, 47, 41, 59, 61, 55, 49, 19, 21, 31, 25, 11, 13, 7, 1, 5, 3, 9, 15, 29, 27, 17, 23, 53, 51, 57, 63, 45, 43, 33, 39, 38, 32, 42, 44, 62, 56, 50, 52, 22, 16, 26, 28, 14, 8, 2, 4, 0, 3, 6, 5, 12, 15, 10, 9, 24, 27, 30, 29, 20, 23, 18, 17, 48, 51, 54, 53, 60, 63, 58, 57, 40, 43, 46, 45, 36, 39, 34, 33, 35, 32, 37, 38, 47, 44, 41, 42, 59, 56, 61, 62, 55, 52, 49, 50, 19, 16, 21, 22, 31, 28, 25, 26, 11, 8, 13, 14, 7, 4, 1, 2, 0, 32, 3, 35, 6, 38, 5, 37, 12, 44, 15, 47, 10, 42, 9, 41, 24, 56, 27, 59, 30, 62, 29, 61, 20, 52, 23, 55, 18, 50, 17, 49, 48, 16, 51, 19, 54, 22, 53, 21, 60, 28, 63, 31, 58, 26, 57, 25, 40, 8, 43, 11, 46, 14, 45, 13, 36, 4, 39, 7, 34, 2, 33, 1, 0, 16, 32, 48, 3, 19, 35, 51, 6, 22, 38, 54, 5, 21, 37, 53, 12, 28, 44, 60, 15, 31, 47, 63, 10, 26, 42, 58, 9, 25, 41, 57, 24, 8, 56, 40, 27, 11, 59, 43, 30, 14, 62, 46, 29, 13, 61, 45, 20, 4, 52, 36, 23, 7, 55, 39, 18, 2, 50, 34, 17, 1, 49, 33, 0, 8, 16, 24, 32, 40, 48, 56, 3, 11, 19, 27, 35, 43, 51, 59, 6, 14, 22, 30, 38, 46, 54, 62, 5, 13, 21, 29, 37, 45, 53, 61, 12, 4, 28, 20, 44, 36, 60, 52, 15, 7, 31, 23, 47, 39, 63, 55, 10, 2, 26, 18, 42, 34, 58, 50, 9, 1, 25, 17, 41, 33, 57, 49, 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 6, 2, 14, 10, 22, 18, 30, 26, 38, 34, 46, 42, 54, 50, 62, 58, 5, 1, 13, 9, 21, 17, 29, 25, 37, 33, 45, 41, 53, 49, 61, 57, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 3, 1, 7, 5, 11, 9, 15, 13, 19, 17, 23, 21, 27, 25, 31, 29, 35, 33, 39, 37, 43, 41, 47, 45, 51, 49, 55, 53, 59, 57, 63, 61 }; const qracode qra_12_63_64_irr_b = { qra_K, qra_N, qra_m, qra_M, qra_a, qra_NC, qra_V, qra_C, qra_NMSG, qra_MAXVDEG, qra_MAXCDEG, QRATYPE_NORMAL, qra_R, CODE_NAME, qra_acc_input_idx, qra_acc_input_wlog, qra_log, qra_exp, qra_msgw, qra_vdeg, qra_cdeg, qra_v2cmidx, qra_c2vmidx, qra_pmat }; #undef qra_K #undef qra_N #undef qra_m #undef qra_M #undef qra_a #undef qra_NC #undef qra_V #undef qra_C #undef qra_NMSG #undef qra_MAXVDEG #undef qra_MAXCDEG #undef qra_R #undef CODE_NAME