Parity checks
X-checks 252 (max weight 5) · Z-checks 252 (max weight 5)
H_X (252 checks, sparse supports)
[6, 142, 272, 403, 444]
[7, 143, 273, 402, 445]
[8, 138, 274, 405, 446]
[9, 139, 275, 404, 447]
[10, 140, 270, 407, 448]
[11, 141, 271, 406, 449]
[12, 148, 278, 409, 450]
[13, 149, 279, 408, 451]
[14, 144, 280, 411, 452]
[15, 145, 281, 410, 453]
[16, 146, 276, 413, 454]
[17, 147, 277, 412, 455]
[18, 154, 284, 415, 456]
[19, 155, 285, 414, 457]
[20, 150, 286, 417, 458]
[21, 151, 287, 416, 459]
[22, 152, 282, 419, 460]
[23, 153, 283, 418, 461]
[24, 160, 290, 379, 420]
[25, 161, 291, 378, 421]
[26, 156, 292, 381, 422]
[27, 157, 293, 380, 423]
[28, 158, 288, 383, 424]
[29, 159, 289, 382, 425]
[30, 166, 254, 385, 426]
[31, 167, 255, 384, 427]
[32, 162, 256, 387, 428]
[33, 163, 257, 386, 429]
[34, 164, 252, 389, 430]
[35, 165, 253, 388, 431]
[36, 130, 260, 391, 432]
[37, 131, 261, 390, 433]
[38, 126, 262, 393, 434]
[39, 127, 263, 392, 435]
[40, 128, 258, 395, 436]
[41, 129, 259, 394, 437]
[0, 136, 266, 397, 438]
[1, 137, 267, 396, 439]
[2, 132, 268, 399, 440]
[3, 133, 269, 398, 441]
[4, 134, 264, 401, 442]
[5, 135, 265, 400, 443]
[48, 184, 314, 397, 459]
[49, 185, 315, 396, 460]
[50, 180, 316, 399, 461]
[51, 181, 317, 398, 456]
[52, 182, 312, 401, 457]
[53, 183, 313, 400, 458]
[54, 190, 320, 403, 423]
[55, 191, 321, 402, 424]
[56, 186, 322, 405, 425]
[57, 187, 323, 404, 420]
[58, 188, 318, 407, 421]
[59, 189, 319, 406, 422]
[60, 196, 326, 409, 429]
[61, 197, 327, 408, 430]
[62, 192, 328, 411, 431]
[63, 193, 329, 410, 426]
[64, 194, 324, 413, 427]
[65, 195, 325, 412, 428]
[66, 202, 332, 415, 435]
[67, 203, 333, 414, 436]
[68, 198, 334, 417, 437]
[69, 199, 335, 416, 432]
[70, 200, 330, 419, 433]
[71, 201, 331, 418, 434]
[72, 208, 296, 379, 441]
[73, 209, 297, 378, 442]
[74, 204, 298, 381, 443]
[75, 205, 299, 380, 438]
[76, 206, 294, 383, 439]
[77, 207, 295, 382, 440]
[78, 172, 302, 385, 447]
[79, 173, 303, 384, 448]
[80, 168, 304, 387, 449]
[81, 169, 305, 386, 444]
[82, 170, 300, 389, 445]
[83, 171, 301, 388, 446]
[42, 178, 308, 391, 453]
[43, 179, 309, 390, 454]
[44, 174, 310, 393, 455]
[45, 175, 311, 392, 450]
[46, 176, 306, 395, 451]
[47, 177, 307, 394, 452]
[90, 226, 356, 396, 420]
[91, 227, 357, 397, 421]
[92, 222, 358, 398, 422]
[93, 223, 359, 399, 423]
[94, 224, 354, 400, 424]
[95, 225, 355, 401, 425]
[96, 232, 362, 402, 426]
[97, 233, 363, 403, 427]
[98, 228, 364, 404, 428]
[99, 229, 365, 405, 429]
[100, 230, 360, 406, 430]
[101, 231, 361, 407, 431]
[102, 238, 368, 408, 432]
[103, 239, 369, 409, 433]
[104, 234, 370, 410, 434]
[105, 235, 371, 411, 435]
[106, 236, 366, 412, 436]
[107, 237, 367, 413, 437]
[108, 244, 374, 414, 438]
[109, 245, 375, 415, 439]
[110, 240, 376, 416, 440]
[111, 241, 377, 417, 441]
[112, 242, 372, 418, 442]
[113, 243, 373, 419, 443]
[114, 250, 338, 378, 444]
[115, 251, 339, 379, 445]
[116, 246, 340, 380, 446]
[117, 247, 341, 381, 447]
[118, 248, 336, 382, 448]
[119, 249, 337, 383, 449]
[120, 214, 344, 384, 450]
[121, 215, 345, 385, 451]
[122, 210, 346, 386, 452]
[123, 211, 347, 387, 453]
[124, 212, 342, 388, 454]
[125, 213, 343, 389, 455]
[84, 220, 350, 390, 456]
[85, 221, 351, 391, 457]
[86, 216, 352, 392, 458]
[87, 217, 353, 393, 459]
[88, 218, 348, 394, 460]
[89, 219, 349, 395, 461]
[21, 148, 268, 487, 528]
[20, 149, 269, 486, 529]
[19, 144, 264, 489, 530]
[18, 145, 265, 488, 531]
[23, 146, 266, 491, 532]
[22, 147, 267, 490, 533]
[27, 154, 274, 493, 534]
[26, 155, 275, 492, 535]
[25, 150, 270, 495, 536]
[24, 151, 271, 494, 537]
[29, 152, 272, 497, 538]
[28, 153, 273, 496, 539]
[33, 160, 280, 499, 540]
[32, 161, 281, 498, 541]
[31, 156, 276, 501, 542]
[30, 157, 277, 500, 543]
[35, 158, 278, 503, 544]
[34, 159, 279, 502, 545]
[39, 166, 286, 463, 504]
[38, 167, 287, 462, 505]
[37, 162, 282, 465, 506]
[36, 163, 283, 464, 507]
[41, 164, 284, 467, 508]
[40, 165, 285, 466, 509]
[3, 130, 292, 469, 510]
[2, 131, 293, 468, 511]
[1, 126, 288, 471, 512]
[0, 127, 289, 470, 513]
[5, 128, 290, 473, 514]
[4, 129, 291, 472, 515]
[9, 136, 256, 475, 516]
[8, 137, 257, 474, 517]
[7, 132, 252, 477, 518]
[6, 133, 253, 476, 519]
[11, 134, 254, 479, 520]
[10, 135, 255, 478, 521]
[15, 142, 262, 481, 522]
[14, 143, 263, 480, 523]
[13, 138, 258, 483, 524]
[12, 139, 259, 482, 525]
[17, 140, 260, 485, 526]
[16, 141, 261, 484, 527]
[63, 190, 310, 481, 543]
[62, 191, 311, 480, 544]
[61, 186, 306, 483, 545]
[60, 187, 307, 482, 540]
[65, 188, 308, 485, 541]
[64, 189, 309, 484, 542]
[69, 196, 316, 487, 507]
[68, 197, 317, 486, 508]
[67, 192, 312, 489, 509]
[66, 193, 313, 488, 504]
[71, 194, 314, 491, 505]
[70, 195, 315, 490, 506]
[75, 202, 322, 493, 513]
[74, 203, 323, 492, 514]
[73, 198, 318, 495, 515]
[72, 199, 319, 494, 510]
[77, 200, 320, 497, 511]
[76, 201, 321, 496, 512]
[81, 208, 328, 499, 519]
[80, 209, 329, 498, 520]
[79, 204, 324, 501, 521]
[78, 205, 325, 500, 516]
[83, 206, 326, 503, 517]
[82, 207, 327, 502, 518]
[45, 172, 334, 463, 525]
[44, 173, 335, 462, 526]
[43, 168, 330, 465, 527]
[42, 169, 331, 464, 522]
[47, 170, 332, 467, 523]
[46, 171, 333, 466, 524]
[51, 178, 298, 469, 531]
[50, 179, 299, 468, 532]
[49, 174, 294, 471, 533]
[48, 175, 295, 470, 528]
[53, 176, 296, 473, 529]
[52, 177, 297, 472, 530]
[57, 184, 304, 475, 537]
[56, 185, 305, 474, 538]
[55, 180, 300, 477, 539]
[54, 181, 301, 476, 534]
[59, 182, 302, 479, 535]
[58, 183, 303, 478, 536]
[105, 232, 352, 480, 504]
[104, 233, 353, 481, 505]
[103, 228, 348, 482, 506]
[102, 229, 349, 483, 507]
[107, 230, 350, 484, 508]
[106, 231, 351, 485, 509]
[111, 238, 358, 486, 510]
[110, 239, 359, 487, 511]
[109, 234, 354, 488, 512]
[108, 235, 355, 489, 513]
[113, 236, 356, 490, 514]
[112, 237, 357, 491, 515]
[117, 244, 364, 492, 516]
[116, 245, 365, 493, 517]
[115, 240, 360, 494, 518]
[114, 241, 361, 495, 519]
[119, 242, 362, 496, 520]
[118, 243, 363, 497, 521]
[123, 250, 370, 498, 522]
[122, 251, 371, 499, 523]
[121, 246, 366, 500, 524]
[120, 247, 367, 501, 525]
[125, 248, 368, 502, 526]
[124, 249, 369, 503, 527]
[87, 214, 376, 462, 528]
[86, 215, 377, 463, 529]
[85, 210, 372, 464, 530]
[84, 211, 373, 465, 531]
[89, 212, 374, 466, 532]
[88, 213, 375, 467, 533]
[93, 220, 340, 468, 534]
[92, 221, 341, 469, 535]
[91, 216, 336, 470, 536]
[90, 217, 337, 471, 537]
[95, 218, 338, 472, 538]
[94, 219, 339, 473, 539]
[99, 226, 346, 474, 540]
[98, 227, 347, 475, 541]
[97, 222, 342, 476, 542]
[96, 223, 343, 477, 543]
[101, 224, 344, 478, 544]
[100, 225, 345, 479, 545]
H_Z (252 checks, sparse supports)
[19, 67, 108, 414, 489]
[18, 66, 109, 415, 488]
[21, 69, 110, 416, 487]
[20, 68, 111, 417, 486]
[23, 71, 112, 418, 491]
[22, 70, 113, 419, 490]
[25, 73, 114, 378, 495]
[24, 72, 115, 379, 494]
[27, 75, 116, 380, 493]
[26, 74, 117, 381, 492]
[29, 77, 118, 382, 497]
[28, 76, 119, 383, 496]
[31, 79, 120, 384, 501]
[30, 78, 121, 385, 500]
[33, 81, 122, 386, 499]
[32, 80, 123, 387, 498]
[35, 83, 124, 388, 503]
[34, 82, 125, 389, 502]
[37, 43, 84, 390, 465]
[36, 42, 85, 391, 464]
[39, 45, 86, 392, 463]
[38, 44, 87, 393, 462]
[41, 47, 88, 394, 467]
[40, 46, 89, 395, 466]
[1, 49, 90, 396, 471]
[0, 48, 91, 397, 470]
[3, 51, 92, 398, 469]
[2, 50, 93, 399, 468]
[5, 53, 94, 400, 473]
[4, 52, 95, 401, 472]
[7, 55, 96, 402, 477]
[6, 54, 97, 403, 476]
[9, 57, 98, 404, 475]
[8, 56, 99, 405, 474]
[11, 59, 100, 406, 479]
[10, 58, 101, 407, 478]
[13, 61, 102, 408, 483]
[12, 60, 103, 409, 482]
[15, 63, 104, 410, 481]
[14, 62, 105, 411, 480]
[17, 65, 106, 412, 485]
[16, 64, 107, 413, 484]
[18, 51, 84, 456, 531]
[19, 52, 85, 457, 530]
[20, 53, 86, 458, 529]
[21, 48, 87, 459, 528]
[22, 49, 88, 460, 533]
[23, 50, 89, 461, 532]
[24, 57, 90, 420, 537]
[25, 58, 91, 421, 536]
[26, 59, 92, 422, 535]
[27, 54, 93, 423, 534]
[28, 55, 94, 424, 539]
[29, 56, 95, 425, 538]
[30, 63, 96, 426, 543]
[31, 64, 97, 427, 542]
[32, 65, 98, 428, 541]
[33, 60, 99, 429, 540]
[34, 61, 100, 430, 545]
[35, 62, 101, 431, 544]
[36, 69, 102, 432, 507]
[37, 70, 103, 433, 506]
[38, 71, 104, 434, 505]
[39, 66, 105, 435, 504]
[40, 67, 106, 436, 509]
[41, 68, 107, 437, 508]
[0, 75, 108, 438, 513]
[1, 76, 109, 439, 512]
[2, 77, 110, 440, 511]
[3, 72, 111, 441, 510]
[4, 73, 112, 442, 515]
[5, 74, 113, 443, 514]
[6, 81, 114, 444, 519]
[7, 82, 115, 445, 518]
[8, 83, 116, 446, 517]
[9, 78, 117, 447, 516]
[10, 79, 118, 448, 521]
[11, 80, 119, 449, 520]
[12, 45, 120, 450, 525]
[13, 46, 121, 451, 524]
[14, 47, 122, 452, 523]
[15, 42, 123, 453, 522]
[16, 43, 124, 454, 527]
[17, 44, 125, 455, 526]
[145, 193, 234, 410, 488]
[144, 192, 235, 411, 489]
[147, 195, 236, 412, 490]
[146, 194, 237, 413, 491]
[149, 197, 238, 408, 486]
[148, 196, 239, 409, 487]
[151, 199, 240, 416, 494]
[150, 198, 241, 417, 495]
[153, 201, 242, 418, 496]
[152, 200, 243, 419, 497]
[155, 203, 244, 414, 492]
[154, 202, 245, 415, 493]
[157, 205, 246, 380, 500]
[156, 204, 247, 381, 501]
[159, 207, 248, 382, 502]
[158, 206, 249, 383, 503]
[161, 209, 250, 378, 498]
[160, 208, 251, 379, 499]
[163, 169, 210, 386, 464]
[162, 168, 211, 387, 465]
[165, 171, 212, 388, 466]
[164, 170, 213, 389, 467]
[167, 173, 214, 384, 462]
[166, 172, 215, 385, 463]
[127, 175, 216, 392, 470]
[126, 174, 217, 393, 471]
[129, 177, 218, 394, 472]
[128, 176, 219, 395, 473]
[131, 179, 220, 390, 468]
[130, 178, 221, 391, 469]
[133, 181, 222, 398, 476]
[132, 180, 223, 399, 477]
[135, 183, 224, 400, 478]
[134, 182, 225, 401, 479]
[137, 185, 226, 396, 474]
[136, 184, 227, 397, 475]
[139, 187, 228, 404, 482]
[138, 186, 229, 405, 483]
[141, 189, 230, 406, 484]
[140, 188, 231, 407, 485]
[143, 191, 232, 402, 480]
[142, 190, 233, 403, 481]
[144, 177, 210, 452, 530]
[145, 178, 211, 453, 531]
[146, 179, 212, 454, 532]
[147, 174, 213, 455, 533]
[148, 175, 214, 450, 528]
[149, 176, 215, 451, 529]
[150, 183, 216, 458, 536]
[151, 184, 217, 459, 537]
[152, 185, 218, 460, 538]
[153, 180, 219, 461, 539]
[154, 181, 220, 456, 534]
[155, 182, 221, 457, 535]
[156, 189, 222, 422, 542]
[157, 190, 223, 423, 543]
[158, 191, 224, 424, 544]
[159, 186, 225, 425, 545]
[160, 187, 226, 420, 540]
[161, 188, 227, 421, 541]
[162, 195, 228, 428, 506]
[163, 196, 229, 429, 507]
[164, 197, 230, 430, 508]
[165, 192, 231, 431, 509]
[166, 193, 232, 426, 504]
[167, 194, 233, 427, 505]
[126, 201, 234, 434, 512]
[127, 202, 235, 435, 513]
[128, 203, 236, 436, 514]
[129, 198, 237, 437, 515]
[130, 199, 238, 432, 510]
[131, 200, 239, 433, 511]
[132, 207, 240, 440, 518]
[133, 208, 241, 441, 519]
[134, 209, 242, 442, 520]
[135, 204, 243, 443, 521]
[136, 205, 244, 438, 516]
[137, 206, 245, 439, 517]
[138, 171, 246, 446, 524]
[139, 172, 247, 447, 525]
[140, 173, 248, 448, 526]
[141, 168, 249, 449, 527]
[142, 169, 250, 444, 522]
[143, 170, 251, 445, 523]
[271, 319, 360, 406, 494]
[270, 318, 361, 407, 495]
[273, 321, 362, 402, 496]
[272, 320, 363, 403, 497]
[275, 323, 364, 404, 492]
[274, 322, 365, 405, 493]
[277, 325, 366, 412, 500]
[276, 324, 367, 413, 501]
[279, 327, 368, 408, 502]
[278, 326, 369, 409, 503]
[281, 329, 370, 410, 498]
[280, 328, 371, 411, 499]
[283, 331, 372, 418, 464]
[282, 330, 373, 419, 465]
[285, 333, 374, 414, 466]
[284, 332, 375, 415, 467]
[287, 335, 376, 416, 462]
[286, 334, 377, 417, 463]
[289, 295, 336, 382, 470]
[288, 294, 337, 383, 471]
[291, 297, 338, 378, 472]
[290, 296, 339, 379, 473]
[293, 299, 340, 380, 468]
[292, 298, 341, 381, 469]
[253, 301, 342, 388, 476]
[252, 300, 343, 389, 477]
[255, 303, 344, 384, 478]
[254, 302, 345, 385, 479]
[257, 305, 346, 386, 474]
[256, 304, 347, 387, 475]
[259, 307, 348, 394, 482]
[258, 306, 349, 395, 483]
[261, 309, 350, 390, 484]
[260, 308, 351, 391, 485]
[263, 311, 352, 392, 480]
[262, 310, 353, 393, 481]
[265, 313, 354, 400, 488]
[264, 312, 355, 401, 489]
[267, 315, 356, 396, 490]
[266, 314, 357, 397, 491]
[269, 317, 358, 398, 486]
[268, 316, 359, 399, 487]
[270, 303, 336, 448, 536]
[271, 304, 337, 449, 537]
[272, 305, 338, 444, 538]
[273, 300, 339, 445, 539]
[274, 301, 340, 446, 534]
[275, 302, 341, 447, 535]
[276, 309, 342, 454, 542]
[277, 310, 343, 455, 543]
[278, 311, 344, 450, 544]
[279, 306, 345, 451, 545]
[280, 307, 346, 452, 540]
[281, 308, 347, 453, 541]
[282, 315, 348, 460, 506]
[283, 316, 349, 461, 507]
[284, 317, 350, 456, 508]
[285, 312, 351, 457, 509]
[286, 313, 352, 458, 504]
[287, 314, 353, 459, 505]
[288, 321, 354, 424, 512]
[289, 322, 355, 425, 513]
[290, 323, 356, 420, 514]
[291, 318, 357, 421, 515]
[292, 319, 358, 422, 510]
[293, 320, 359, 423, 511]
[252, 327, 360, 430, 518]
[253, 328, 361, 431, 519]
[254, 329, 362, 426, 520]
[255, 324, 363, 427, 521]
[256, 325, 364, 428, 516]
[257, 326, 365, 429, 517]
[258, 333, 366, 436, 524]
[259, 334, 367, 437, 525]
[260, 335, 368, 432, 526]
[261, 330, 369, 433, 527]
[262, 331, 370, 434, 522]
[263, 332, 371, 435, 523]
[264, 297, 372, 442, 530]
[265, 298, 373, 443, 531]
[266, 299, 374, 438, 532]
[267, 294, 375, 439, 533]
[268, 295, 376, 440, 528]
[269, 296, 377, 441, 529]