ldpc.cpp

#include <stdint.h>
#include <stdlib.h>

#include "ldpc.h"

#ifndef __AVR__
#include <math.h>
#endif

#ifdef __AVR__
#include <avr/pgmspace.h>
#endif

// ===================================================================================================================

// FindVectors65432bit(10,20,23, 500) => 208, Delta=2579

// every row represents a parity check to be performed on the received codeword
static const uint32_t LDPC_ParityCheck_n208k160[48][7]
#ifdef __AVR__
PROGMEM
#endif
= { // parity check vectors: 48 vectors for 48 parity checks
    // Eaech vector applied to the data packet should yield even number of bits
 { 0x00000805, 0x00000020, 0x04000000, 0x20000000, 0x00000040, 0x00044020, 0x00000000 },
 { 0x00000001, 0x00800800, 0x00000000, 0x00000000, 0x00000000, 0x10010000, 0x00008C98 },
 { 0x00004001, 0x01000080, 0x80000400, 0x00000000, 0x08000200, 0x00200000, 0x00000005 },
 { 0x00000101, 0x20000200, 0x00000022, 0x00000000, 0x00000000, 0xCC008000, 0x00005002 },
 { 0x00000401, 0x00000000, 0x00004900, 0x00000020, 0x00000000, 0x20C00349, 0x00000020 },
 { 0x03140001, 0x00000002, 0x00000000, 0x40000001, 0x41534100, 0x00102C00, 0x00002000 },
 { 0x04008800, 0x82000642, 0x00000000, 0x00000020, 0x88040020, 0x03000010, 0x00000400 },
 { 0x00000802, 0x20000000, 0x02000014, 0x01200000, 0x04000403, 0x00800004, 0x0000A004 },
 { 0x02020820, 0x00000000, 0x80020820, 0x10190040, 0x30000000, 0x00000002, 0x00000900 },
 { 0x40804950, 0x00090000, 0x00000000, 0x00021204, 0x40001000, 0x10001100, 0x00000000 },
 { 0x08000A00, 0x00020008, 0x00040000, 0x02400010, 0x01002000, 0x40280280, 0x00000010 },
 { 0x00000000, 0x00008010, 0x118000A0, 0x00040080, 0x01000084, 0x00040100, 0x00000444 },
 { 0x20040108, 0x18000000, 0x08608800, 0x0000000A, 0x08000010, 0x00040080, 0x00008000 },
 { 0x00004080, 0x00422201, 0x00010000, 0x0000A400, 0x00400800, 0x00840000, 0x00000800 },
 { 0x00000000, 0x60200000, 0x80100240, 0x08000021, 0x02800000, 0x100C0000, 0x00000000 },
 { 0x00001000, 0x01010002, 0x00082001, 0x04000000, 0x00000001, 0x00040002, 0x00004030 },
 { 0x00002300, 0x04000000, 0xA0080000, 0x20004000, 0x00028000, 0x00800000, 0x00000400 },
 { 0x00004000, 0x00104100, 0x40041028, 0x24000020, 0x00200000, 0x00100000, 0x00008000 },
 { 0x08011000, 0x20040000, 0x00000000, 0xA0800000, 0x08090000, 0x00000100, 0x00000A00 },
 { 0x10180000, 0x00000204, 0x00002800, 0x20400800, 0x00000000, 0x10000000, 0x00000004 },
 { 0x00000000, 0xC0000000, 0x10200000, 0x20028000, 0x20000000, 0x80000008, 0x00002011 },
 { 0x82004000, 0x20000000, 0x04202000, 0x00000000, 0x00000000, 0x00020200, 0x00000400 },
 { 0x08600000, 0x00001200, 0x94000000, 0x00000000, 0x40000008, 0x00000000, 0x00008020 },
 { 0x04040000, 0x04010000, 0x04100000, 0x00000100, 0x00200000, 0x40000008, 0x00000804 },
 { 0x00000200, 0x00000110, 0x04000100, 0x00000000, 0x28400400, 0x10000000, 0x00004000 },
 { 0x00080000, 0x00000080, 0x04001000, 0x01882007, 0x00008024, 0x04000001, 0x00000010 },
 { 0x20200000, 0x00000020, 0x00010040, 0x81000800, 0x10001000, 0x00300008, 0x00004400 },
 { 0x90000010, 0x89841021, 0x00000118, 0x08080000, 0x00020000, 0x40000000, 0x00000040 },
 { 0x04C20000, 0x10404034, 0x00000000, 0x00004000, 0x00810001, 0x04000200, 0x00000009 },
 { 0x40102000, 0x020020A0, 0x40100000, 0x00100080, 0x00080400, 0x80030080, 0x00000020 },
 { 0x00010000, 0x04020920, 0x00000200, 0x00060000, 0x00000218, 0x01002007, 0x00001000 },
 { 0x00020008, 0x00A08040, 0x00080000, 0x40001400, 0x04200040, 0x80200001, 0x00000200 },
 { 0x40000402, 0x01100000, 0x20808000, 0x00008000, 0x10100060, 0x00080000, 0x00001008 },
 { 0x200010A0, 0x00000000, 0x01040100, 0x00000104, 0x02040042, 0x08012000, 0x00000001 },
 { 0x01000000, 0x50000880, 0x00000092, 0x14400000, 0x00001840, 0x02400000, 0x00000000 },
 { 0x00000010, 0x02000000, 0x00014000, 0x00200018, 0x00000240, 0x04000800, 0x00000180 },
 { 0x00008000, 0x00880008, 0x08000044, 0x00100000, 0x00000004, 0x00400820, 0x00001001 },
 { 0x01000000, 0x00002000, 0x02004001, 0x00000042, 0x00000000, 0x09201020, 0x00000048 },
 { 0x00800000, 0x01000400, 0x00400002, 0xC0002000, 0x00002080, 0x00010064, 0x00000100 },
 { 0x00000400, 0x08400840, 0x00000400, 0x00000890, 0x00008102, 0x00000020, 0x00000002 },
 { 0x00200040, 0x00000081, 0x00000000, 0x02050000, 0x04940000, 0x20008020, 0x00000080 },
 { 0x00000404, 0x00800000, 0x00001000, 0x00014000, 0x00082200, 0x0A000400, 0x00000000 },
 { 0x0000A024, 0x00000000, 0x00000402, 0x08A01000, 0x00004010, 0x20000000, 0x00000008 },
 { 0x00480046, 0x00008000, 0x00000208, 0x00000048, 0x00000000, 0x00410010, 0x00000002 },
 { 0x0000008C, 0x00044C00, 0x00824004, 0x00000200, 0x00000000, 0x00028000, 0x00000000 },
 { 0x10010004, 0x00080000, 0x43008000, 0x10000400, 0x80000100, 0x00000040, 0x00000080 },
 { 0x80000000, 0x0020000C, 0x20420480, 0x00000100, 0x00000008, 0x00005410, 0x00000080 },
 { 0x00000000, 0x00101000, 0x08000001, 0x02000200, 0x82004A80, 0x00004000, 0x00000202 }
} ;


const uint8_t LDPC_ParityCheckIndex_n208k160[48][24]
#ifdef __AVR__
PROGMEM
#endif
= { // number of, indicies to bits to be taken for parity checks
 { 10,   0,   2,  11,  37,  90, 125, 134, 165, 174, 178 },
 { 11,   0,  43,  55, 176, 188, 195, 196, 199, 202, 203, 207 },
 { 11,   0,  14,  39,  56,  74,  95, 137, 155, 181, 192, 194, },
 { 14,   0,   8,  41,  61,  65,  69, 175, 186, 187, 190, 191, 193, 204, 206 },
 { 15,   0,  10,  72,  75,  78, 101, 160, 163, 166, 168, 169, 182, 183, 189, 197 },
 { 21,   0,  18,  20,  24,  25,  33,  96, 126, 136, 142, 144, 145, 148, 150, 152, 158, 170, 171, 173, 180, 205 },
 { 18,  11,  15,  26,  33,  38,  41,  42,  57,  63, 101, 133, 146, 155, 159, 164, 184, 185, 202 },
 { 17,   1,  11,  61,  66,  68,  89, 117, 120, 128, 129, 138, 154, 162, 183, 194, 205, 207 },
 { 18,   5,  11,  17,  25,  69,  75,  81,  95, 102, 112, 115, 116, 124, 156, 157, 161, 200, 203 },
 { 18,   4,   6,   8,  11,  14,  23,  30,  48,  51,  98, 105, 108, 113, 140, 158, 168, 172, 188 },
 { 17,   9,  11,  27,  35,  49,  82, 100, 118, 121, 141, 152, 167, 169, 179, 181, 190, 196 },
 { 17,  36,  47,  69,  71,  87,  88,  92, 103, 114, 130, 135, 152, 168, 178, 194, 198, 202 },
 { 18,   3,   8,  18,  29,  59,  60,  75,  79,  85,  86,  91,  97,  99, 132, 155, 167, 178, 207 },
 { 16,   7,  14,  32,  41,  45,  49,  54,  80, 106, 109, 111, 139, 150, 178, 183, 203 },
 { 15,  53,  61,  62,  70,  73,  84,  95,  96, 101, 123, 151, 153, 178, 179, 188 },
 { 14,  12,  33,  48,  56,  64,  77,  83, 122, 128, 161, 178, 196, 197, 206 },
 { 13,   8,   9,  13,  58,  83,  93,  95, 110, 125, 143, 145, 183, 202 },
 { 15,  14,  40,  46,  52,  67,  69,  76,  82,  94, 101, 122, 125, 149, 180, 207 },
 { 14,  12,  16,  27,  50,  61, 119, 125, 127, 144, 147, 155, 168, 201, 203 },
 { 12,  19,  20,  28,  34,  41,  75,  77, 107, 118, 125, 188, 194 },
 { 13,  62,  63,  85,  92, 111, 113, 125, 157, 163, 191, 192, 196, 205 },
 { 10,  14,  25,  31,  61,  77,  85,  90, 169, 177, 202 },
 { 12,  21,  22,  27,  41,  44,  90,  92,  95, 131, 158, 197, 207 },
 { 12,  18,  26,  48,  58,  84,  90, 104, 149, 163, 190, 194, 203 },
 { 11,   9,  36,  40,  72,  90, 138, 150, 155, 157, 188, 206 },
 { 17,  19,  39,  76,  90,  96,  97,  98, 109, 115, 119, 120, 130, 133, 143, 160, 186, 196 },
 { 15,  21,  29,  37,  70,  80, 107, 120, 127, 140, 156, 163, 180, 181, 202, 206 },
 { 19,   4,  28,  31,  32,  37,  44,  50,  55,  56,  59,  63,  67,  68,  72, 115, 123, 145, 190, 198 },
 { 18,  17,  22,  23,  26,  34,  36,  37,  46,  54,  60, 110, 128, 144, 151, 169, 186, 192, 195 },
 { 18,  13,  20,  30,  37,  39,  45,  57,  84,  94, 103, 116, 138, 147, 167, 176, 177, 191, 197 },
 { 18,  16,  37,  40,  43,  49,  58,  73, 113, 114, 131, 132, 137, 160, 161, 162, 173, 184, 204 },
 { 17,   3,  17,  38,  47,  53,  55,  83, 106, 108, 126, 134, 149, 154, 160, 181, 191, 201 },
 { 16,   1,  10,  30,  52,  56,  79,  87,  93, 111, 133, 134, 148, 156, 179, 195, 204 },
 { 17,   5,   7,  12,  29,  72,  82,  88,  98, 104, 129, 134, 146, 153, 173, 176, 187, 192 },
 { 16,  24,  39,  43,  60,  62,  65,  68,  71, 118, 122, 124, 134, 139, 140, 182, 185 },
 { 13,   4,  57,  78,  80,  99, 100, 117, 134, 137, 171, 186, 199, 200 },
 { 14,  15,  35,  51,  55,  66,  70,  91, 116, 130, 165, 171, 182, 192, 204 },
 { 14,  24,  45,  64,  78,  89,  97, 102, 165, 172, 181, 184, 187, 195, 198 },
 { 15,  23,  42,  56,  65,  86, 109, 126, 127, 135, 141, 162, 165, 166, 176, 200 },
 { 14,  10,  38,  43,  54,  59,  74, 100, 103, 107, 129, 136, 143, 165, 193 },
 { 15,   6,  21,  32,  39, 112, 114, 121, 146, 148, 151, 154, 165, 175, 189, 199 },
 { 12,   2,  10,  55,  76, 110, 112, 137, 141, 147, 170, 185, 187 },
 { 14,   2,   5,  13,  15,  65,  74, 108, 117, 119, 123, 132, 142, 189, 195 },
 { 14,   1,   2,   6,  19,  22,  47,  67,  73,  99, 102, 164, 176, 182, 193 },
 { 14,   2,   3,   7,  42,  43,  46,  50,  66,  78,  81,  87, 105, 175, 177 },
 { 14,   2,  16,  28,  51,  79,  88,  89,  94, 106, 124, 136, 159, 166, 199 },
 { 16,  31,  34,  35,  53,  71,  74,  81,  86,  93, 104, 131, 164, 170, 172, 174, 199 },
 { 15,  44,  52,  64,  91, 105, 121, 135, 137, 139, 142, 153, 159, 174, 193, 201 }
  } ;

static const uint8_t LDPC_BitWeight_n208k160[208] // weight of parity checks for every codeword bit
#ifdef __AVR__
PROGMEM
#endif
= { 6, 3, 6, 3, 3, 3, 3, 3, 4, 3, 4, 6, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
    3, 3, 3, 3, 3, 6, 3, 5, 3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 3, 3,
    3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 5,
    3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3,
    3, 3, 3, 3, 3, 3, 6, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3,
    4, 3, 3, 4, 3, 6, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 3, 6, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4,
    5, 4, 5, 5, 5, 4, 3, 5, 3, 3, 6, 5, 4, 3, 4, 5 } ;

// every row represents the generator for a parity bit
static const uint32_t LDPC_ParityGen_n208k160[48][5]
#ifdef __AVR__
PROGMEM
#endif
= { // Parity bits generator: 48 vectors to generate 48 parity bits
    // Each vector applied to the user data yields a corresponding parity bit
 { 0x40A90281, 0x9159D249, 0xCE9D516B, 0x2FDEED0B, 0xD9267CD4  },
 { 0xCCBC0FC3, 0xCC4FA4BC, 0x811EC3D0, 0xB07EC1B3, 0xA3B8E8D8  },
 { 0x66418D56, 0x3B85ADFF, 0xD2A6532E, 0x48CF52E4, 0x6A16586D  },
 { 0x44C71240, 0x2C94631F, 0x15F15A4A, 0x7459D901, 0x037863CC  },
 { 0x7386D718, 0x7F6C9623, 0x738E2E0C, 0xD2351593, 0xEF358669  },
 { 0x7BF87232, 0x9E4CCD68, 0xBB82590E, 0x9C9292EA, 0x4CE2AEB9  },
 { 0xAA8436BC, 0x94A61C4D, 0x1DA89B11, 0x72EAF204, 0x34D3A041  },
 { 0xBCE77760, 0x229935B2, 0xAAF85CE3, 0xFFE7B602, 0xF26BCC64  },
 { 0xD0C371D0, 0xA553D12F, 0xA0685BF2, 0x5C553C81, 0x0218EB48  },
 { 0x8D29034D, 0xEB20A394, 0x1A8C82A3, 0x41B4DA0C, 0x8632F81E  },
 { 0x15A50876, 0x9BC10F59, 0xF979D1E0, 0xCFF6BD88, 0x88FE5895  },
 { 0x037A9ED5, 0xFA5DB837, 0x61395ACA, 0xE65B5839, 0x9A2D9D02  },
 { 0xEE70D18F, 0x8AE909C6, 0x8AF5BECA, 0x66968559, 0x1BD9B5E7  },
 { 0xC56397AC, 0xD8FF6A30, 0x8E165AF3, 0xC01686B9, 0xEC26BEDC  },
 { 0xB2D63859, 0xFACA8CFD, 0x7EE85EB7, 0x19BFDA46, 0xC8C1CA52  },
 { 0xD7EB4D94, 0x426104DA, 0x124FBD54, 0xBF610A1D, 0x0E615094  },
 { 0x68EFE180, 0x15A1549C, 0x18D20289, 0xBD28AD44, 0x8DADDAEC  },
 { 0xD7EB4D18, 0x426548DA, 0x12CDFD50, 0xBF61081D, 0x0E615094  },
 { 0xC92E426E, 0x648641B5, 0xC16A07B9, 0xA52D48AC, 0x842364AB  },
 { 0xB71DAB61, 0x2B15995C, 0x6BE7E0C1, 0x97ECE351, 0xDF622A04  },
 { 0x55CD7406, 0x5E0F3507, 0x23F6C372, 0x7ECAFE84, 0x7E68A8DF  },
 { 0x97DB831C, 0xD46D648F, 0x14FA22B3, 0x4F875648, 0x94C23936  },
 { 0x60D940EC, 0xFCC18797, 0xD0DE7383, 0xF38F22E5, 0x2E7A733E  },
 { 0xD8C22D55, 0x8D45EB4E, 0xAC695FF3, 0xDED59211, 0x8851288A  },
 { 0xCE9D11A1, 0xD8E8F438, 0xAF3102EE, 0xCB2FE547, 0xC11845BD  },
 { 0x61D940EC, 0xACC18F17, 0xD0DE7311, 0xE7CF22E5, 0x2E7A6B7E  },
 { 0x66AD8025, 0x493D883C, 0x538E9261, 0x5F0E116B, 0xB17492FA  },
 { 0x747C4C9E, 0x3780804E, 0x29A7B2F1, 0x2838DF6D, 0xA68C11EB  },
 { 0x7E33E90F, 0x2FB3D8E9, 0x2A9DE538, 0x3AC1ABDC, 0x59C14EAF  },
 { 0x16B6095E, 0x4883D57E, 0xF765FF4B, 0x431C6EF3, 0xF2C45F6C  },
 { 0x3F04D4F4, 0xEEA73108, 0x567ECF38, 0x15200560, 0x56AB6942  },
 { 0x1E5ECFFE, 0x29426F53, 0x17057060, 0xA774ED7F, 0x4FE7EACB  },
 { 0xF9F02A12, 0xFADEBEE2, 0xBE67EB8B, 0x5506F594, 0xC5037599  },
 { 0x7BF87632, 0x960CC528, 0xBB825D0E, 0x9C929A7A, 0x4CE22FBB  },
 { 0x6E2BE90F, 0x2FB3DAED, 0x2A9DCD38, 0x1A81A3DC, 0x59C14EAF  },
 { 0x16B6A97A, 0x4883D57E, 0xF765FB49, 0x4BBC7EF3, 0xF2C41F7C  },
 { 0x260C82A4, 0xD8645AF5, 0x9913D30A, 0x7158DC67, 0x68526E0A  },
 { 0x5DAD3406, 0x5E1F6607, 0xF7F2D35A, 0x5ACAFEA4, 0x3E48A8D7  },
 { 0xAF04D4E4, 0x67232129, 0x567ECE20, 0x1D280560, 0x56A96942  },
 { 0xBA8536B8, 0x94AE1C4D, 0x5EA81B11, 0x62EAF604, 0xB4D3A141  },
 { 0xDF522858, 0x25CE2C46, 0x6C1E93BA, 0xDB9FBF4E, 0x9F8AACF9  },
 { 0xC92E4E6B, 0x6CD659D5, 0xCD6A03B8, 0x872D423C, 0x0623AF69  },
 { 0xD8C20E55, 0x8945EB4E, 0x0C615FF3, 0xFED5D211, 0x8853A88A  },
 { 0x11EC2FBB, 0xE98188FA, 0x6D02584A, 0x7BF87EBD, 0x0C324421  },
 { 0xE1AB0619, 0x62864C22, 0xBC029B88, 0xDC501DA2, 0x3DB63518  },
 { 0x85657508, 0xE76CE85B, 0x35A012AB, 0xD7719D8D, 0xC1CE9294  },
 { 0x7E33EB0F, 0x2FB3D9F9, 0x2E9DE438, 0x3AC1ABDC, 0x71814AAF  },
 { 0x55CD3406, 0x5E1F7407, 0x63F2D35A, 0x5ACAFEA4, 0x7E48A8DF  }
} ;


// ===================================================================================================================

#ifdef WITH_PPM

const uint32_t LDPC_ParityCheck_n354k160[194][12] // 354 codeword = 160 user bits + 194 parity checks
#ifdef __AVR__
PROGMEM
#endif
= { // parity check vectors
 { 0x00000000, 0x00000000, 0x00000000, 0x28000000, 0x00000000, 0x00000000, 0x00000400, 0x00E00006, 0x00000000, 0x00000080, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x80000000, 0x000C0040, 0x00010000, 0x00180000, 0x00000000, 0x40000040, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x20003000, 0x58000000, 0x00000000, 0x00000000, 0x00010000, 0x00000000, 0x30000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00200000, 0x18000000, 0x00000400, 0x00000000, 0x00000C00, 0x00008000, 0x00000000, 0x20000020, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00003000, 0x00002030, 0x10000800, 0x00000008, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x20000004, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000C00, 0x00000000, 0x0C000000, 0x00000000, 0x40000001, 0x00000008, 0x00004000, 0x00000000, 0x10000000, 0x00000001 }, 
 { 0x00040000, 0x00800001, 0x00000380, 0x00100000, 0x04000000, 0x00000000, 0x00000000, 0x00000000, 0x00004000, 0x00000000, 0x00000010, 0x00000000 }, 
 { 0x80048000, 0x00002200, 0x00000000, 0x00080200, 0x00000000, 0x00000000, 0x00010001, 0x00000800, 0x00000000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00000020, 0x00000000, 0x00000000, 0x01000000, 0x00000400, 0x00000000, 0x80000000, 0x00000010, 0x00000000, 0x00000000, 0x0D000100, 0x00000002 }, 
 { 0x00000000, 0x00000400, 0x00000000, 0x00000440, 0x00002000, 0x20000000, 0x20000000, 0x00000000, 0x00000000, 0x00000000, 0x02000082, 0x00000000 }, 
 { 0x80000000, 0x00000400, 0x00004200, 0x00000000, 0x00000000, 0x00000000, 0x00014000, 0x00000800, 0x00003000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x81000040, 0x00040000, 0x00002000, 0x8A000000, 0x00000000, 0x00000002 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00801000, 0x04060000, 0x00000800, 0x10000000, 0x01000200, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x20000100, 0x00000000, 0x0400050C, 0x00000000, 0x00000000, 0x00001000, 0x00000040, 0x00000000, 0x00000000 }, 
 { 0x40000000, 0x00000000, 0x00000000, 0x00000088, 0x03000000, 0x04000000, 0x00002000, 0x00000000, 0x00000008, 0x04000000, 0x00000000, 0x00000000 }, 
 { 0x40000000, 0x00008000, 0x00000070, 0x00000080, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000100, 0x00000000, 0x02200000, 0x00000000 }, 
 { 0x00004000, 0x00004000, 0x01000000, 0x00000000, 0x00002400, 0x00000000, 0x80008000, 0x00000000, 0x00000000, 0x02000000, 0x00100008, 0x00000000 }, 
 { 0x00002000, 0x00000000, 0x01000002, 0x00010040, 0x10000200, 0x00000400, 0x00000000, 0x00000000, 0x00000000, 0x01000000, 0x00000000, 0x00000001 }, 
 { 0x40040000, 0x00000000, 0x00000006, 0x00000020, 0x02000000, 0x02000000, 0x00000800, 0x00000000, 0x20000000, 0x00800000, 0x00000000, 0x00000000 }, 
 { 0x00021800, 0x80000000, 0x00000000, 0x10000000, 0x00000000, 0x00000100, 0x00000000, 0x08000008, 0x00000000, 0x00000000, 0x00000014, 0x00000000 }, 
 { 0x00000601, 0x00000002, 0x00000000, 0x00000000, 0x00000000, 0x02800000, 0x00010000, 0x00000000, 0x00000008, 0x00400020, 0x00000000, 0x00000000 }, 
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 { 0x00730000, 0x00000040, 0x00000000, 0x00000000, 0x20000000, 0x04000000, 0x00000000, 0x00000000, 0x00000400, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000020, 0x00102000, 0x00202000, 0x00000000, 0x02000000, 0x08040010, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000100, 0x00400000, 0x00000201, 0x00000000, 0x02000200, 0x00000000, 0x00040000, 0x00001000, 0x00000010, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00008000, 0x00000000, 0x00000000, 0x00000000, 0x10100000, 0x00800000, 0x00008000, 0x00081008, 0x00200000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x40828000, 0x00800000, 0x00100000, 0x00120000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00008000, 0x00000000 }, 
 { 0x80020000, 0x01100880, 0x00000000, 0x00000000, 0x00000000, 0x00100010, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000400, 0x08000000, 0x0000080A, 0x00000000, 0x00000200, 0x00020010, 0x04000000, 0x00000000 }, 
 { 0x00800000, 0x00000000, 0x00000000, 0x06000000, 0x00010001, 0x00000800, 0x00000080, 0x00000000, 0x00000000, 0x08000000, 0x00000040, 0x00000000 }, 
 { 0x00000000, 0x02200000, 0x00000000, 0x00008008, 0x00200000, 0x00000000, 0x00000000, 0x00004000, 0x00000000, 0x40000004, 0x00002000, 0x00000000 }, 
 { 0x00800000, 0x00000000, 0x88000000, 0x84000000, 0x00040000, 0x00000000, 0x00000000, 0x00000000, 0x00800000, 0x00000000, 0x00014000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x40000001, 0x00040000, 0x00001000, 0x01200000, 0x02400004, 0x00000000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00004808, 0x04000000, 0x00200000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00080000, 0x00080040, 0x00000040, 0x00000000, 0x00000000 }, 
 { 0x00000310, 0x00002000, 0x00000000, 0x00800200, 0x00000000, 0x00010000, 0x00400000, 0x00000000, 0x01000000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x0000100E, 0x00000018, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000002, 0x00000002, 0x00000000, 0x00000000, 0x00000002, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00820000, 0x00200100, 0x09000020, 0x00000800, 0x00000000, 0x00008000, 0x00000000, 0x00000000 }, 
 { 0x08000000, 0x00000000, 0x02200000, 0x00001400, 0x80004000, 0x00000000, 0x00000004, 0x00000000, 0x00001000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00008000, 0x00000000, 0x01000000, 0x00000000, 0x20000080, 0x00000040, 0x10000000, 0x10000000, 0x00000000, 0x00000020, 0x00400000, 0x00000000 }, 
 { 0x00000000, 0x40000080, 0x00020000, 0x00000000, 0x00001000, 0x00004000, 0x00000100, 0x20000000, 0x00000000, 0x00004000, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00004800, 0x00000000, 0x04000800, 0x00000000, 0x00400000, 0x00000000, 0x00000000, 0x00000000, 0x00000010, 0x00400000, 0x00000001 }, 
 { 0x00000000, 0x00040004, 0x00041000, 0x00000000, 0x00000008, 0x00000000, 0x00000024, 0x00000000, 0x00000000, 0x00000000, 0x00004000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x02000000, 0x00000000, 0x00040000, 0x00000000, 0x00100008, 0x00000000, 0x20000020, 0x08000040, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00001004, 0x00100000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00008000, 0x00804108, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x01010000, 0x00800000, 0x00001001, 0x00800000, 0x00000000, 0x00000000, 0x00240000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000200, 0x00000000, 0x00000000, 0x00002200, 0x00000002, 0x08200800, 0x00000001 }, 
 { 0x00000000, 0x00000000, 0x00100000, 0x0000C000, 0x00804010, 0x00004000, 0x00000000, 0x00000000, 0x00000400, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x08000000, 0x00480000, 0x00008004, 0x00000000, 0x00040000, 0x00000000, 0x00000100, 0x00000000, 0x00000000, 0x10000000, 0x00000000, 0x00000000 }, 
 { 0x08800000, 0x00040001, 0x00000000, 0x00000000, 0x00080080, 0x00000000, 0x04000000, 0x00000000, 0x04000000, 0x00000000, 0x00000000, 0x00000000 }, 
 { 0x00003200, 0x00000000, 0x00000000, 0x00000000, 0x10420000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00002000, 0x00000400, 0x00000000 }, 
 { 0x00000040, 0x00000000, 0x00000000, 0x00000004, 0x00000008, 0x00000000, 0x00000000, 0x00000000, 0x00000600, 0x00000000, 0x00004801, 0x00000000 }, 
 { 0x00000020, 0x00000000, 0x00000410, 0x00000000, 0x00000004, 0x00000000, 0x00800000, 0x00000000, 0x00900000, 0x00000001, 0x00000000, 0x00000000 }, 
 { 0x02000000, 0x00000000, 0x00000000, 0x00000000, 0x02000040, 0x00000000, 0x00000000, 0x00000000, 0x00840040, 0x00800000, 0x00000001, 0x00000000 }, 
 { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x44000800, 0x00000000, 0x08001000, 0x20001000, 0x00000000, 0x00000000, 0x00800000, 0x00000000 }, 
 { 0x00000001, 0x00000000, 0x00000000, 0x00000880, 0x00000000, 0x00002000, 0x00000000, 0x00420000, 0x00040000, 0x00002020, 0x00000000, 0x00000000 }, 
 { 0x00000010, 0x00000000, 0x00040000, 0x00000000, 0x20000000, 0x00040000, 0x01000000, 0x04000000, 0x00000000, 0x00000080, 0x00400000, 0x00000001 }, 
 { 0x00000008, 0x00020000, 0x00000000, 0x00021000, 0x00000000, 0x00000000, 0x00000008, 0x00000000, 0x00080000, 0x00000210, 0x00000001, 0x00000000 }, 
 { 0x0000000A, 0x00001080, 0x00000000, 0x00000000, 0x00004000, 0x00200004, 0x00000000, 0x00000000, 0x00008000, 0x00000004, 0x00000000, 0x00000000 }, 
 { 0x00100082, 0x00000000, 0x20008000, 0x00000000, 0x00000000, 0x00004000, 0x00000800, 0x00000000, 0x00000000, 0x00001000, 0x00000000, 0x00000002 }  
} ;

const uint32_t LDPC_ParityGen_n354k160[194][5]
#ifdef __AVR__
PROGMEM
#endif
= { // parity bits generator
 { 0xBF3B0B3C, 0x314E4CB2, 0x1C4219B8, 0xF87E8234, 0x6D121C05  }, 
 { 0x43C31BD3, 0xA49EE0D2, 0xB613CA26, 0x4A06EB31, 0xBBBC4B69  }, 
 { 0xA8E96C9C, 0x5C4BD117, 0x8877A3B7, 0x2C28FCBB, 0xC20F5C52  }, 
 { 0x18E91F00, 0xABA26C2A, 0x20AFA0D3, 0x781A54FD, 0x7AAD3CD7  }, 
 { 0xE2CE0C54, 0x0BBBE7EC, 0xBA8B6D72, 0x3CF41BBE, 0x9847B7BA  }, 
 { 0x2119517F, 0xDA38A438, 0x6A3A2341, 0x3C6B3CEE, 0xC45138E0  }, 
 { 0xA03B5560, 0xB650F4D1, 0xF79542B5, 0x8B8A9EE2, 0x0008FAD3  }, 
 { 0x5D2624EF, 0x10DBF749, 0x3CA1F2A0, 0x6EC49CB4, 0xE180DDB9  }, 
 { 0xBFBC0710, 0xD0FA2A89, 0xFE1E22BF, 0x8DB41BAE, 0xE2A0DE6F  }, 
 { 0x7C97D8D6, 0xD03734C4, 0x3630E03C, 0xBC0E99D2, 0x5B1663C3  }, 
 { 0xA8CB16AD, 0x006106C3, 0x64F41A4D, 0x98C281B0, 0x7E8055C4  }, 
 { 0x8C2CD493, 0x2CD876DC, 0x00C39BE8, 0x0CC58836, 0xE9B55589  }, 
 { 0x9ECCEF2A, 0xA648F8D7, 0xDB12CECF, 0xDECF8910, 0xFABA64FD  }, 
 { 0x2DD164C6, 0xE4E44F87, 0x425F5945, 0xEE48E56B, 0xE7F4349D  }, 
 { 0x5916345A, 0xDA049129, 0xCEEF739D, 0x47902FB7, 0x709F8AB4  }, 
 { 0x987D6D27, 0x3448F4E7, 0x20DAF291, 0xF82BCE50, 0x8B591390  }, 
 { 0x4DA99CD3, 0x1A13CC5E, 0xC3CE1A7E, 0xF460FD61, 0x8BA9FE66  }, 
 { 0x72CED441, 0x90AAAB8D, 0xC48C6831, 0x9B52333B, 0xD835B6FC  }, 
 { 0x989EAEC0, 0xD9F69D6C, 0x66022DD7, 0x778FD6A5, 0x8B526FEE  }, 
 { 0x90861033, 0xCA18E3FB, 0x996E893B, 0x24185E8D, 0x3FD66C7C  }, 
 { 0xB8810387, 0x44833D00, 0xD0E0E7B3, 0xC4D91AA6, 0x6B5215F9  }, 
 { 0x1FDA72C6, 0xCBD4BB6B, 0x04BE862D, 0xE1B9EA26, 0x30C01CA7  }, 
 { 0xDAC99950, 0x66FC1E65, 0x734D0861, 0x8C4E7985, 0xBFCD3AD1  }, 
 { 0x17BF566C, 0x26A04744, 0x2F60189D, 0x373BFCA1, 0xA08EBFF8  }, 
 { 0x7EA9713E, 0x6A9A3324, 0x0E59E2A7, 0xCE7C57D0, 0xCBA40287  }, 
 { 0xA442B46F, 0x182CFF0A, 0x9568B31D, 0x82015F2C, 0x4F3AB3A7  }, 
 { 0x5965345A, 0xDA049169, 0xCEFF739D, 0x4790EFB7, 0x501FCAA4  }, 
 { 0x5ACF0524, 0x09664861, 0xC26B69ED, 0x041EC4B6, 0xD3BE71E7  }, 
 { 0xECEA5D89, 0x4C7AB36D, 0x9FA963C5, 0xFD416742, 0x1D331757  }, 
 { 0x1256E1C1, 0x5C2D5E39, 0xFA349FC5, 0x98F81F1D, 0x4921E241  }, 
 { 0x2AF78B26, 0xC3B88A6B, 0xE441147E, 0x68ED4E24, 0x2CD189AB  }, 
 { 0x899F3FCE, 0x74270F2B, 0x50C13F29, 0xD7359EEA, 0xDA12BA16  }, 
 { 0x3F5A73D8, 0x71423A62, 0xD2957F27, 0xFE0F86A7, 0xAD98760B  }, 
 { 0x17E138A8, 0x77EA7AE4, 0xB08FEC00, 0xF51D5B10, 0x50616E89  }, 
 { 0x9DEA1BA4, 0x864AA36F, 0x15AD6853, 0x4B734C20, 0xF2C935C0  }, 
 { 0x1C61D24D, 0x36304D45, 0x6935994B, 0xCBB771C3, 0x74B76058  }, 
 { 0x9C173562, 0xFF1735DA, 0x0C41BCB7, 0xC3195ADC, 0x60999718  }, 
 { 0x30C81C35, 0x60EE7A6E, 0x9DFC8572, 0xBD28D328, 0xFCD88B0E  }, 
 { 0xECB8E63E, 0x8EA3EE2A, 0x61AE3F32, 0xB6B5E43C, 0xEA2DD6DE  }, 
 { 0x03219881, 0x126EA7A6, 0x6A130444, 0xA5313241, 0x5DD972B0  }, 
 { 0xBCD7FF20, 0xB4C020BD, 0x9B77A60E, 0x91CA8631, 0xD7D1ACD2  }, 
 { 0xFF80C91E, 0x5BCA2B6E, 0xF8D17E27, 0x770DC19A, 0xB1EEEDA0  }, 
 { 0x7EF4C4F1, 0xC77292D4, 0x2E555DD7, 0x33DE6349, 0x6D79A577  }, 
 { 0x89A41EFF, 0xE7455A6E, 0x4431B80C, 0xB47CB0B1, 0x7A2CD62A  }, 
 { 0x9F800F19, 0x2E497949, 0xD321D8DA, 0xF74C666B, 0x8EA103C2  }, 
 { 0x46149176, 0xA17E679C, 0xC6481C0D, 0xBA6BA8B7, 0xDD9E0E80  }, 
 { 0x5FE0198D, 0xE51C0C94, 0x80DA07B0, 0x8BCE8FAC, 0x119400C3  }, 
 { 0x7D66BF7E, 0x75045431, 0x6927222B, 0x7FEF3B1C, 0xB2E5D39D  }, 
 { 0x7CB5D896, 0xF0373480, 0x3630E03D, 0xBC0E99D2, 0x5B1663C3  }, 
 { 0x78DC56FF, 0x4967B31E, 0x06291302, 0xB3B4A072, 0x8BB88CEC  }, 
 { 0xA0354BC6, 0xD06A06D7, 0x4E724381, 0x3F07A3FD, 0x73AFE6FC  }, 
 { 0xF30D48DA, 0x676E5492, 0x177F288F, 0x79E936BC, 0x2016EAC9  }, 
 { 0x8EF77970, 0xBD662325, 0x23C36963, 0xC4AA7264, 0x0A9BE530  }, 
 { 0xFEF2A35E, 0x77C86351, 0x89A87585, 0x8F39F81C, 0xB3853AC4  }, 
 { 0x5ACF0164, 0x0D664841, 0xCA6A69ED, 0x041EC4B6, 0xD3BE71A7  }, 
 { 0xFC14B7B4, 0x4B5C63C5, 0xA72CC3B5, 0x6CD2FE00, 0x57EA6966  }, 
 { 0x3E1E6D7B, 0x79532AE8, 0xA51A3C1B, 0xFC6FF9BD, 0x6BA67425  }, 
 { 0x0E79995B, 0x843292F7, 0x382FEB26, 0x70CD2CB7, 0x7BF29FB1  }, 
 { 0x6425F72F, 0xDFDC3624, 0xC593E31E, 0xE113249B, 0xB7490AFD  }, 
 { 0x5819FC79, 0x8A418AC9, 0xD1900B5E, 0xA01E332A, 0xE3937E73  }, 
 { 0x0A475305, 0x7943BCA0, 0x666BBDE0, 0xF88290EA, 0x03436E21  }, 
 { 0xEBD7D24F, 0x0ED6EC40, 0x169BF54D, 0x8F4C3C3A, 0xF288B858  }, 
 { 0x15A1D5ED, 0x065B4DEE, 0xB7170FF2, 0xC110FFE6, 0x43DCAF43  }, 
 { 0xF2717717, 0xD28DAD36, 0x43329E2C, 0xF244AB0A, 0x1D79E529  }, 
 { 0x52FA7334, 0x7CF51534, 0xC14F1120, 0x0FB016BD, 0x11A8EDF7  }, 
 { 0x63BBB512, 0xE79B813B, 0x8329901D, 0xB51B64C4, 0xE88F0253  }, 
 { 0xB6BD7090, 0xF9DABA98, 0xFEFC792B, 0x0A9C05FC, 0xF3E5681E  }, 
 { 0xE3E8F94B, 0xB416DFF4, 0x18EA246F, 0xC4847023, 0x520C4290  }, 
 { 0x9D999726, 0x6E454BA5, 0x424A1C3F, 0x9378A8C4, 0x3529A57B  }, 
 { 0xD96B5D54, 0xC0FDACD7, 0xC7BC13F2, 0x26604362, 0xB730C113  }, 
 { 0x88F15CAA, 0xE33CD7A2, 0x6580C515, 0x4D51D804, 0x6E4D16DE  }, 
 { 0xACB34E0A, 0xACF46901, 0xD1E3790C, 0xCFB8150B, 0x1D24AFDF  }, 
 { 0xC15B49C8, 0x2493920E, 0x1EFB0A31, 0x96CF52E4, 0x6A59CC69  }, 
 { 0x495A275D, 0x5B296FB3, 0x5F8FCA98, 0x79DF044F, 0xFFA075CB  }, 
 { 0xCB57CA6C, 0x96E56516, 0x34B373AB, 0x1DF6A1FF, 0x55FACA55  }, 
 { 0xC3EB2B4E, 0x81752CE2, 0xE4A59F1A, 0x42091D75, 0xF68E15C8  }, 
 { 0x3DAF86C3, 0xD6D9C19B, 0xC2A751E1, 0x79D118F4, 0xF122332C  }, 
 { 0xC1D1D970, 0x382D6985, 0x06B12543, 0x0C05211C, 0xEA714078  }, 
 { 0x989EAEC0, 0xD9FE966C, 0x46022FDF, 0x778FD6A5, 0x8B526FEE  }, 
 { 0x5E3B9C7A, 0xED9ADFAF, 0x0F443C92, 0xFC855F78, 0xB1C61773  }, 
 { 0x0EBF15FE, 0x1ECB1B82, 0x848E30D5, 0xE117B243, 0x6F3CE271  }, 
 { 0x424E825C, 0x096A4205, 0xABF29FA4, 0x854E07BF, 0x5E998352  }, 
 { 0xE0418B91, 0x4ADD50AC, 0x56511551, 0x0F0C7673, 0x821A3E84  }, 
 { 0x267BDCEF, 0x04734BB4, 0xF7B4BC80, 0xCC12BA7D, 0x36C612CF  }, 
 { 0xC262CA37, 0x7E32C56F, 0x47845A47, 0xDF1B9BA8, 0xE0AFB8FC  }, 
 { 0xE0418B91, 0x4BDC50AC, 0x56D11551, 0x0F0C6672, 0x829A3E84  }, 
 { 0x91F50DDE, 0x49E45E51, 0x6428D337, 0x31BCC161, 0x75402FCB  }, 
 { 0xB296A10D, 0xF646A5FD, 0x470B0F51, 0x1AFBB1A8, 0xDCE8A51D  }, 
 { 0x9848FB90, 0xDB688948, 0x8210D7E4, 0xC93EB1A8, 0x933FF050  }, 
 { 0x79685C41, 0x18ED55A7, 0x6D742D4D, 0xD6B94C2D, 0xA4386DC9  }, 
 { 0xB9E78046, 0xEF98DA9B, 0x74E74A58, 0xF9CCA0FB, 0xC6E7C152  }, 
 { 0x1C42C120, 0x35F81A6E, 0xC633A9F9, 0x8F0AD0F1, 0xBB3588CF  }, 
 { 0x1B67E3ED, 0xAEFC3225, 0x85008317, 0x06AFE0B6, 0x632786BF  }, 
 { 0x2E623791, 0xDDA5B84C, 0x7531F094, 0x3CE5681A, 0x030D196C  }, 
 { 0x9659B78B, 0x6031178A, 0xDB017702, 0x5554FBCE, 0x33525AAC  }, 
 { 0x60B57C8B, 0x58A1BF6B, 0x57EE5D97, 0x6F976042, 0x43948F0A  }, 
 { 0x03220BC9, 0x2D105DCF, 0x1A2F231E, 0x14F15B28, 0x114227CB  }, 
 { 0xB388A264, 0x4A7D76C5, 0x6ABBF6D9, 0x5556254C, 0xEB7DF23E  }, 
 { 0x5DE9B360, 0x0C1008CC, 0xA7020795, 0x3A6C552C, 0x8AE262B6  }, 
 { 0xEDCA5D89, 0x4D7AB36D, 0x9FA96BC5, 0xFD412746, 0x1D331757  }, 
 { 0x20C00117, 0x75B2C4BC, 0x7DCBE920, 0x9CE9E0FE, 0xA6F64701  }, 
 { 0xAFAED554, 0xB54C8CCC, 0xE8B0699F, 0xCDE94601, 0x1FF9AF34  }, 
 { 0x684CC6F3, 0x90577B5A, 0x28F4656A, 0x90149AD1, 0x7D065F13  }, 
 { 0xEA63020E, 0x10073485, 0xF7738AF7, 0xECD9DF63, 0xEF52967C  }, 
 { 0xF34D5BDA, 0x676E5492, 0x177B288F, 0x79E936BC, 0x2516EAC9  }, 
 { 0x9ED015B6, 0xC305A3CA, 0xC5C5C293, 0x3F78BB2D, 0x45738306  }, 
 { 0x5916345A, 0xDA049129, 0xCEFF739D, 0x4790EFB7, 0x701FCAA4  }, 
 { 0x48E5557C, 0x3867D1E4, 0xA86F29E8, 0xC5FDC9F4, 0xD2765165  }, 
 { 0x95EA1BA4, 0x864AA36F, 0x178D6853, 0x4B735820, 0x72C975C0  }, 
 { 0xF554F1F1, 0x1214B399, 0x45C252C4, 0x3EBA532B, 0xCEC50308  }, 
 { 0xC5B1C5CE, 0xD3F3540D, 0x63AA0659, 0xB3F95434, 0xF585E134  }, 
 { 0xEC4D8B91, 0x4BDC50AC, 0x56D11551, 0x2E0C6672, 0x829A3B84  }, 
 { 0xCF63E412, 0x12B15E91, 0x83051D0F, 0x9CC8BE39, 0x24814888  }, 
 { 0x96DAB33B, 0x403EE24D, 0xD4448F71, 0x3B6ECC5E, 0xCCBE5361  }, 
 { 0x05C2385B, 0x6C1EB2AD, 0x44E2D157, 0xAA4F2281, 0x36881398  }, 
 { 0x25CF1FCB, 0xEB18939F, 0x3420F9B2, 0x31A1A463, 0x4D941996  }, 
 { 0xE9588C02, 0x7BBCECFF, 0x7AA5B0E7, 0x7E5FE165, 0x9984E1B4  }, 
 { 0xBC48FB90, 0xDB689948, 0x8610D7E4, 0xC83FB188, 0x933FF050  }, 
 { 0xD5192898, 0xE4A0029F, 0x62574555, 0x7168276F, 0x77021800  }, 
 { 0x51D69601, 0x62F5524B, 0x16B5D9BC, 0x624E462D, 0xAE500B1D  }, 
 { 0x17669EA7, 0x1775A41F, 0x09A47393, 0xF0FE3BD7, 0x58178FC1  }, 
 { 0xEC304D69, 0x4D5E9089, 0x3A899E6C, 0xAE0DA801, 0xB394CF54  }, 
 { 0x6CA5F72F, 0xDFD83625, 0xC593E31E, 0xE113249B, 0xB7410A7D  }, 
 { 0x2A4099D1, 0x5926389F, 0x85EE807C, 0xBF2B5A2F, 0x3442B2AA  }, 
 { 0x9565CA53, 0xEFB6F5B0, 0x9586A876, 0x3B85C5B5, 0x185F87B0  }, 
 { 0x89F7CDEA, 0x2FFDECB4, 0xC191EC57, 0x964510D8, 0x23DD8018  }, 
 { 0x48DC8D1F, 0x593EED5B, 0xA06A9AB7, 0x81AE548A, 0x5261DF4C  }, 
 { 0x0FF22560, 0xD10ADA44, 0x53081653, 0x7E5F18B1, 0xC5C1B2A5  }, 
 { 0x449AAD97, 0x5215DD71, 0xCB3CAEFE, 0x70C35948, 0x603E83CB  }, 
 { 0x0FCF09D8, 0x502FD0D4, 0x0BD6ABE3, 0x7C2981A7, 0x69BB3DDA  }, 
 { 0x5B7E95C1, 0xDC432A50, 0xDA1830CB, 0xE39D70EF, 0x70553B71  }, 
 { 0x80B7031D, 0x008ACF8A, 0xD6A52F6D, 0xA32E741A, 0x70F87C14  }, 
 { 0xAD7EFC8C, 0x048C390D, 0xE2C42E23, 0x7A70EAAC, 0xE4FF9B20  }, 
 { 0x04F750C8, 0x2EB3118A, 0xC3F13D99, 0xDF48E0AD, 0x28FF9F90  }, 
 { 0x6BF84DDF, 0x7B3CA371, 0xEB402058, 0x6DA784CF, 0x0654544A  }, 
 { 0x68D02631, 0x2D4D0277, 0x26727DD6, 0x801214CA, 0x5D217B68  }, 
 { 0x434C131D, 0x68A3DFAE, 0xB017E87F, 0xC7B52C91, 0x42EA8D0F  }, 
 { 0x4E9D3ED1, 0x978E35BB, 0xD5BAC41B, 0x78492E14, 0x2EC940AD  }, 
 { 0xF514F1F1, 0x9214B389, 0x45C252C4, 0x3EBA532B, 0xCEC5032E  }, 
 { 0x5B5F3E79, 0x2ABAB2F5, 0x084C4D5A, 0x31D688D0, 0xD54F32A1  }, 
 { 0xC9D0422B, 0xF87EFB4B, 0x65C25674, 0xE9924A10, 0xD17731E8  }, 
 { 0xFF5F83D6, 0xE6C7F0F4, 0x0A96F918, 0x2FBDE919, 0xD25A140C  }, 
 { 0xCBA3FCEB, 0xF3610958, 0x20AB2507, 0xEABFC19C, 0xA4432F0A  }, 
 { 0x3542D3AF, 0x09A7674F, 0xF77389BF, 0xCF5DF542, 0x50815658  }, 
 { 0x0AF1DF54, 0xF80803CD, 0x3DA3F21D, 0x6084E0FC, 0x1F9EDFFB  }, 
 { 0x6DE2AA90, 0xBFE9A564, 0xD1798BB7, 0x367DEFBD, 0x3716658D  }, 
 { 0xB3CF1AD0, 0x55D872A7, 0x8F853289, 0xF2A83C7A, 0xF18EBF7A  }, 
 { 0x75E81640, 0xCAAC3405, 0xA1DB2536, 0xE6BAE8B9, 0x463ECA30  }, 
 { 0x14B85EA7, 0xCB24075A, 0x03B2B4C3, 0x84A5CE08, 0xC31CC695  }, 
 { 0xC55B49C8, 0x249303AE, 0x1CFB0A31, 0x96EF52E4, 0x6A59CC69  }, 
 { 0x267531D5, 0xAD722E2B, 0xD0601DE1, 0x2B3DFDB4, 0x816EE75B  }, 
 { 0xE415677A, 0xD09449D0, 0x10C8E740, 0xA038FF65, 0x14CBE595  }, 
 { 0x6A906631, 0x2D4D0275, 0x22727DD6, 0xC01214CA, 0x5D217B68  }, 
 { 0xB31272C5, 0xC2594005, 0x94B83E46, 0x4D84ED27, 0xF23A67F3  }, 
 { 0xB2BBF8A5, 0x36004598, 0x971E0455, 0x00BA60CE, 0x93B2D373  }, 
 { 0xDF37FE5C, 0x6ADBAD69, 0x8A9755B8, 0x3916D1B1, 0x4458FE0E  }, 
 { 0xB4D7FF20, 0xB48820BD, 0x9B77260A, 0x91CA8631, 0xD7D5ACD2  }, 
 { 0x5D3608F5, 0x436907F3, 0x4CD2CBAD, 0x84C5E362, 0xD1E7240D  }, 
 { 0x34C01C31, 0x60FE5A66, 0x9DFC8172, 0xB528D328, 0xFCD88B0E  }, 
 { 0x409562A7, 0x100957A1, 0x4526AC8B, 0xE7C47A53, 0xBD8B8ED5  }, 
 { 0xDA4D0FD3, 0x4E28D26C, 0x6A6B8AC1, 0xF82D0118, 0xF315A243  }, 
 { 0x745A9DB4, 0x9071FBC7, 0x33A67C1D, 0x40063FD4, 0xB8EE6CDA  }, 
 { 0x85A1E2B5, 0x0267BB1F, 0x436DAAF0, 0x65D3EF48, 0xFA1CF504  }, 
 { 0x247CD0D8, 0x64165577, 0xEE6ACDD4, 0x9C0CBD01, 0x958A76A1  }, 
 { 0xC5B5C5CE, 0xD373540C, 0x63AA05D9, 0xB3E95434, 0xF185E134  }, 
 { 0xD17281AB, 0xF5E8C8AE, 0x81F1D98E, 0xF4D8C0CD, 0xD7DF700E  }, 
 { 0x50BAB24E, 0x546D7C13, 0xE047CA14, 0x96E26BC6, 0xF035D936  }, 
 { 0xD872A27F, 0xEE03F33C, 0x8EBC2CC6, 0x8A82CD68, 0x964A6E4E  }, 
 { 0x629516BC, 0xF182D7B1, 0x4760C49C, 0xF069128A, 0x19CEC52F  }, 
 { 0x9A2CACEB, 0x9C729BAB, 0xBB6024B4, 0x80C26E03, 0xC5C1E2FB  }, 
 { 0xFF5FB1D6, 0xE6C7F0F4, 0x0A96F918, 0x2FBDE919, 0xC218140C  }, 
 { 0xB0A929EE, 0xB189398A, 0xE904C6EE, 0x769ECA8E, 0xC868552F  }, 
 { 0xEF4D67E1, 0x3F7A8BF3, 0x7B4686D9, 0x2E4918B4, 0x88E76F5A  }, 
 { 0xF7202730, 0x6763E65A, 0x01E69E66, 0x213AF56A, 0x07FFDF91  }, 
 { 0xAD220791, 0xE6A0D905, 0x8855FD21, 0xF65B9F08, 0x0E11BEC6  }, 
 { 0xCA4FD7C6, 0xD429968D, 0x54EE0F82, 0x5F0B299D, 0xB377A305  }, 
 { 0xFC749190, 0x84558B4E, 0x16E0249D, 0x1015D925, 0xA045B5DB  }, 
 { 0xAD7430E3, 0x46C2F2B7, 0xFB569EA5, 0xAB7068D2, 0x8BED359A  }, 
 { 0xC2421229, 0xBD61DCB7, 0xDBB300AA, 0x1450F14E, 0xE8B7317D  }, 
 { 0x4E9E2248, 0x4A44E893, 0x95B0CC28, 0x94FE53F8, 0x2997B8AF  }, 
 { 0x18792A74, 0x01C6AC75, 0x51C74F95, 0x5C23C030, 0xC82C03E6  }, 
 { 0xE6E4579F, 0x4BE76A10, 0x46CE12AC, 0xA4D9E3E7, 0xB01B9244  }, 
 { 0xB5EC3540, 0x4F5C6BDE, 0xD60F41DB, 0xAAEF0E13, 0x68938D5D  }, 
 { 0xD4544232, 0xAF748A57, 0xB52772F1, 0x126625AF, 0xDB1D5FF1  }, 
 { 0x1E623791, 0xD9A7B84C, 0x7531F094, 0x3CE5689A, 0x034D096C  }, 
 { 0x55A90C45, 0x2C89BE82, 0x51B53A53, 0xDD30D5DB, 0x950D788D  }, 
 { 0x86A7B294, 0xD7991A0D, 0xA998C3AD, 0xFDBDE0E8, 0x1BDED0B7  }, 
 { 0x8CCA1BA4, 0x864BA36F, 0x55AD6853, 0x4B734C20, 0xF2C935D0  }, 
 { 0xCEF9CA2C, 0x3DD0F8C3, 0x5944397A, 0x10B3C86C, 0x766C5640  }, 
 { 0x9D48FDB5, 0xA9C5D735, 0x63C23A23, 0x1DC99B85, 0x90B1C1D3  }, 
 { 0xA48DEE95, 0x9782ABB5, 0x422ED881, 0x1F657314, 0x289FA398  }, 
 { 0x99C33D5E, 0xF1247681, 0x315592C6, 0xF0DF750F, 0xBA5C69FE  }, 
 { 0xC25B509C, 0x2D2C04B6, 0x47866799, 0x58D1953A, 0x33A12CAC  }, 
 { 0x1972680C, 0xC53F300C, 0xCF1C1DE5, 0x1A7ED516, 0xDBC46D76  }  
} ;

#endif // WITH_PPM

// ===================================================================================================================

#ifdef __AVR__

// encode Parity from Data: Data is 5x 32-bit words = 160 bits, Parity is 1.5x 32-bit word = 48 bits
void LDPC_Encode(const uint32_t *Data, uint32_t *Parity, const uint32_t ParityGen[48][5])
{ uint8_t ParIdx=0; Parity[ParIdx]=0; uint32_t Mask=1;
  for(uint8_t Row=0; Row<48; Row++)
  { uint8_t Count=0;
    const uint32_t *Gen=ParityGen[Row];
    for(uint8_t Idx=0; Idx<5; Idx++)
    { Count+=Count1s(Data[Idx]&pgm_read_dword(Gen+Idx)); }
    if(Count&1) Parity[ParIdx]|=Mask; Mask<<=1;
    if(Mask==0) { ParIdx++; Parity[ParIdx]=0; Mask=1; }
  }
}

void LDPC_Encode(const uint32_t *Data, uint32_t *Parity)
{ LDPC_Encode(Data, Parity, LDPC_ParityGen); }

// encode Parity from Data: Data is 20 bytes = 160 bits, Parity is 6 bytes = 48 bits
void LDPC_Encode(const uint8_t *Data, uint8_t *Parity, const uint32_t ParityGen[48][5])
{ uint8_t ParIdx=0; Parity[ParIdx]=0; uint8_t Mask=1;
  for(uint8_t Row=0; Row<48; Row++)
  { uint8_t Count=0;
    const uint8_t *Gen = (uint8_t *)ParityGen[Row];
    for(uint8_t Idx=0; Idx<20; Idx++)
    { Count+=Count1s(Data[Idx]&pgm_read_byte(Gen+Idx)); }
    if(Count&1) Parity[ParIdx]|=Mask; Mask<<=1;
    if(Mask==0) { ParIdx++; Parity[ParIdx]=0; Mask=1; }
  }
}

void LDPC_Encode(const uint8_t *Data, uint8_t *Parity)
{ LDPC_Encode(Data, Parity, LDPC_ParityGen); }

void LDPC_Encode(uint8_t *Data)
{ LDPC_Encode(Data, Data+20, LDPC_ParityGen); }

// check Data against Parity (run 48 parity checks) - return number of failed checks
int8_t LDPC_Check(const uint8_t *Data) // 20 data bytes followed by 6 parity bytes
{ uint8_t Errors=0;
  for(uint8_t Row=0; Row<48; Row++)
  { uint8_t Count=0;
    const uint8_t *Check = (uint8_t *)LDPC_ParityCheck[Row];
    for(uint8_t Idx=0; Idx<26; Idx++)
    { Count+=Count1s(Data[Idx] & pgm_read_byte(Check+Idx)); }
    if(Count&1) Errors++; }
  return Errors; }

int8_t LDPC_Check(const uint32_t *Packet)
{ return LDPC_Check( (uint8_t *)Packet ); }

#else // if not 8-bit AVR

void LDPC_Encode(const uint8_t *Data, uint8_t *Parity, const uint32_t ParityGen[48][5])
{ uint8_t ParIdx=0; uint8_t ParByte=0; uint8_t Mask=1;
  for(uint8_t Row=0; Row<48; Row++)
  { uint8_t Count=0;
    const uint8_t *Gen = (uint8_t *)(ParityGen[Row]);
    for(uint8_t Idx=0; Idx<20; Idx++)
    { Count+=Count1s((uint8_t)(Data[Idx]&Gen[Idx])); }
    if(Count&1) ParByte|=Mask; Mask<<=1;
    if(Mask==0) { Parity[ParIdx++]=ParByte; Mask=1; ParByte=0; }
  }
  // if(Mask!=1) Parity[ParIdx]=ParByte;
}

void LDPC_Encode(const uint8_t *Data, uint8_t *Parity)
{ LDPC_Encode(Data, Parity, LDPC_ParityGen_n208k160); }

void LDPC_Encode(uint8_t *Data)
{ LDPC_Encode(Data, Data+20); }

// encode Parity from Data: Data is 5x 32-bit words = 160 bits, Parity is 1.5x 32-bit word = 48 bits
static void LDPC_Encode(const uint32_t *Data, uint32_t *Parity, uint8_t DataWords,  uint8_t Checks, const uint32_t *ParityGen)
{ // printf("LDPC_Encode: %08X %08X %08X %08X %08X", Data[0], Data[1], Data[2], Data[3], Data[4] );
  uint8_t ParIdx=0; Parity[ParIdx]=0; uint32_t Mask=1;
  const uint32_t *Gen=ParityGen;
  for(uint8_t Row=0; Row<Checks; Row++)
  { uint8_t Count=0;
    for(uint8_t Idx=0; Idx<DataWords; Idx++)
    { Count+=Count1s(Data[Idx]&Gen[Idx]); }
    if(Count&1) Parity[ParIdx]|=Mask; Mask<<=1;
    if(Mask==0) { ParIdx++; Parity[ParIdx]=0; Mask=1; }
    Gen+=DataWords; }
  // printf(" => %08X %08X\n", Parity[0], Parity[1] );
}

void LDPC_Encode(const uint32_t *Data, uint32_t *Parity) { LDPC_Encode(Data, Parity, 5, 48, (uint32_t *)LDPC_ParityGen_n208k160); }
void LDPC_Encode(      uint32_t *Data)                   { LDPC_Encode(Data, Data+5, 5, 48, (uint32_t *)LDPC_ParityGen_n208k160); }

#ifdef WITH_PPM
void LDPC_Encode_n354k160(const uint32_t *Data, uint32_t *Parity) { LDPC_Encode(Data, Parity, 5, 194, (uint32_t *)LDPC_ParityGen_n354k160); }
void LDPC_Encode_n354k160(      uint32_t *Data)                   { LDPC_Encode(Data, Data+5, 5, 194, (uint32_t *)LDPC_ParityGen_n354k160); }
#endif

// check Data against Parity (run 48 parity checks) - return number of failed checks
uint8_t LDPC_Check(const uint32_t *Data, const uint32_t *Parity) // Data and Parity are 32-bit words
{ uint8_t Errors=0;
  for(uint8_t Row=0; Row<48; Row++)
  { uint8_t Count=0;
    const uint32_t *Check=LDPC_ParityCheck_n208k160[Row];
    uint8_t Idx;
    for(Idx=0; Idx<5; Idx++)
    { Count+=Count1s(Data[Idx]&Check[Idx]); }
    Count+=Count1s(Parity[0]&Check[Idx++]);
    Count+=Count1s((Parity[1]&Check[Idx++])&0xFFFF);
    if(Count&1) Errors++; }
  return Errors; }

uint8_t LDPC_Check(const uint32_t *Data) { return LDPC_Check(Data, Data+5); }

uint8_t LDPC_Check(const uint8_t *Data) // 20 data bytes followed by 6 parity bytes
{ uint8_t Errors=0;
  for(uint8_t Row=0; Row<48; Row++)
  { uint8_t Count=0;
    const uint8_t *Check = (uint8_t *)LDPC_ParityCheck_n208k160[Row];
    for(uint8_t Idx=0; Idx<26; Idx++)
    { uint8_t And = Data[Idx]&Check[Idx]; Count+=Count1s(And); }
    if(Count&1) Errors++; }
  return Errors; }
#ifdef WITH_PPM
uint8_t LDPC_Check_n354k160(const uint32_t *Data, const uint32_t *Parity) // Data and Parity are 32-bit words
{ uint8_t Errors=0;
  for(uint8_t Row=0; Row<194; Row++)
  { uint8_t Count=0;
    const uint32_t *Check=LDPC_ParityCheck_n354k160[Row];
    uint8_t Idx;
    for(Idx=0; Idx<5; Idx++)
    { Count+=Count1s(Data[Idx]&Check[Idx]); }
    uint8_t ParIdx;
    for(ParIdx=0; ParIdx<6; ParIdx++, Idx++)
    { Count+=Count1s(Parity[ParIdx]&Check[Idx]); }
    Count+=Count1s((Parity[ParIdx]&Check[Idx])&0x0003);
    if(Count&1) Errors++; }
  return Errors; }

uint8_t LDPC_Check_n354k160(const uint32_t *Data) { return LDPC_Check_n354k160(Data, Data+5); }
#endif // WITH_PPM

#endif // __AVR__