{ "schema_version": "0.1", "name": "[[618,24,20]] [[4,2,2]]-amplified [[126,12,10]]", "code_type": "CSS", "n": 618, "k": 24, "checks": { "X": [ [ 0, 4, 232, 252, 304, 416, 561 ], [ 1, 5, 233, 253, 305, 417, 561 ], [ 2, 6, 234, 254, 306, 418, 561 ], [ 3, 7, 235, 255, 307, 419, 561 ], [ 112, 132, 136, 296, 384, 436, 562 ], [ 113, 133, 137, 297, 385, 437, 562 ], [ 114, 134, 138, 298, 386, 438, 562 ], [ 115, 135, 139, 299, 387, 439, 562 ], [ 116, 136, 140, 300, 388, 440, 563 ], [ 117, 137, 141, 301, 389, 441, 563 ], [ 118, 138, 142, 302, 390, 442, 563 ], [ 119, 139, 143, 303, 391, 443, 563 ], [ 120, 140, 144, 304, 392, 444, 564 ], [ 121, 141, 145, 305, 393, 445, 564 ], [ 122, 142, 146, 306, 394, 446, 564 ], [ 123, 143, 147, 307, 395, 447, 564 ], [ 124, 144, 148, 308, 396, 448, 565 ], [ 125, 145, 149, 309, 397, 449, 565 ], [ 126, 146, 150, 310, 398, 450, 565 ], [ 127, 147, 151, 311, 399, 451, 565 ], [ 128, 148, 152, 312, 400, 452, 566 ], [ 129, 149, 153, 313, 401, 453, 566 ], [ 130, 150, 154, 314, 402, 454, 566 ], [ 131, 151, 155, 315, 403, 455, 566 ], [ 132, 152, 156, 316, 404, 456, 567 ], [ 133, 153, 157, 317, 405, 457, 567 ], [ 134, 154, 158, 318, 406, 458, 567 ], [ 135, 155, 159, 319, 407, 459, 567 ], [ 136, 156, 160, 320, 408, 460, 568 ], [ 137, 157, 161, 321, 409, 461, 568 ], [ 138, 158, 162, 322, 410, 462, 568 ], [ 139, 159, 163, 323, 411, 463, 568 ], [ 140, 160, 164, 324, 412, 464, 569 ], [ 141, 161, 165, 325, 413, 465, 569 ], [ 142, 162, 166, 326, 414, 466, 569 ], [ 143, 163, 167, 327, 415, 467, 569 ], [ 144, 164, 168, 328, 416, 468, 570 ], [ 145, 165, 169, 329, 417, 469, 570 ], [ 146, 166, 170, 330, 418, 470, 570 ], [ 147, 167, 171, 331, 419, 471, 570 ], [ 148, 168, 172, 332, 420, 472, 571 ], [ 149, 169, 173, 333, 421, 473, 571 ], [ 150, 170, 174, 334, 422, 474, 571 ], [ 151, 171, 175, 335, 423, 475, 571 ], [ 152, 172, 176, 336, 424, 476, 572 ], [ 153, 173, 177, 337, 425, 477, 572 ], [ 154, 174, 178, 338, 426, 478, 572 ], [ 155, 175, 179, 339, 427, 479, 572 ], [ 156, 176, 180, 340, 428, 480, 573 ], [ 157, 177, 181, 341, 429, 481, 573 ], [ 158, 178, 182, 342, 430, 482, 573 ], [ 159, 179, 183, 343, 431, 483, 573 ], [ 160, 180, 184, 344, 432, 484, 574 ], [ 161, 181, 185, 345, 433, 485, 574 ], [ 162, 182, 186, 346, 434, 486, 574 ], [ 163, 183, 187, 347, 435, 487, 574 ], [ 108, 128, 132, 292, 380, 432, 575 ], [ 109, 129, 133, 293, 381, 433, 575 ], [ 110, 130, 134, 294, 382, 434, 575 ], [ 111, 131, 135, 295, 383, 435, 575 ], [ 164, 184, 188, 348, 436, 488, 576 ], [ 165, 185, 189, 349, 437, 489, 576 ], [ 166, 186, 190, 350, 438, 490, 576 ], [ 167, 187, 191, 351, 439, 491, 576 ], [ 172, 192, 196, 356, 444, 496, 577 ], [ 173, 193, 197, 357, 445, 497, 577 ], [ 174, 194, 198, 358, 446, 498, 577 ], [ 175, 195, 199, 359, 447, 499, 577 ], [ 176, 196, 200, 360, 448, 500, 578 ], [ 177, 197, 201, 361, 449, 501, 578 ], [ 178, 198, 202, 362, 450, 502, 578 ], [ 179, 199, 203, 363, 451, 503, 578 ], [ 180, 200, 204, 252, 364, 452, 579 ], [ 181, 201, 205, 253, 365, 453, 579 ], [ 182, 202, 206, 254, 366, 454, 579 ], [ 183, 203, 207, 255, 367, 455, 579 ], [ 184, 204, 208, 256, 368, 456, 580 ], [ 185, 205, 209, 257, 369, 457, 580 ], [ 186, 206, 210, 258, 370, 458, 580 ], [ 187, 207, 211, 259, 371, 459, 580 ], [ 188, 208, 212, 260, 372, 460, 581 ], [ 189, 209, 213, 261, 373, 461, 581 ], [ 190, 210, 214, 262, 374, 462, 581 ], [ 191, 211, 215, 263, 375, 463, 581 ], [ 192, 212, 216, 264, 376, 464, 582 ], [ 193, 213, 217, 265, 377, 465, 582 ], [ 194, 214, 218, 266, 378, 466, 582 ], [ 195, 215, 219, 267, 379, 467, 582 ], [ 196, 216, 220, 268, 380, 468, 583 ], [ 197, 217, 221, 269, 381, 469, 583 ], [ 198, 218, 222, 270, 382, 470, 583 ], [ 199, 219, 223, 271, 383, 471, 583 ], [ 200, 220, 224, 272, 384, 472, 584 ], [ 201, 221, 225, 273, 385, 473, 584 ], [ 202, 222, 226, 274, 386, 474, 584 ], [ 203, 223, 227, 275, 387, 475, 584 ], [ 204, 224, 228, 276, 388, 476, 585 ], [ 205, 225, 229, 277, 389, 477, 585 ], [ 206, 226, 230, 278, 390, 478, 585 ], [ 207, 227, 231, 279, 391, 479, 585 ], [ 208, 228, 232, 280, 392, 480, 586 ], [ 209, 229, 233, 281, 393, 481, 586 ], [ 210, 230, 234, 282, 394, 482, 586 ], [ 211, 231, 235, 283, 395, 483, 586 ], [ 212, 232, 236, 284, 396, 484, 587 ], [ 213, 233, 237, 285, 397, 485, 587 ], [ 214, 234, 238, 286, 398, 486, 587 ], [ 215, 235, 239, 287, 399, 487, 587 ], [ 216, 236, 240, 288, 400, 488, 588 ], [ 217, 237, 241, 289, 401, 489, 588 ], [ 218, 238, 242, 290, 402, 490, 588 ], [ 219, 239, 243, 291, 403, 491, 588 ], [ 220, 240, 244, 292, 404, 492, 589 ], [ 221, 241, 245, 293, 405, 493, 589 ], [ 222, 242, 246, 294, 406, 494, 589 ], [ 223, 243, 247, 295, 407, 495, 589 ], [ 168, 188, 192, 352, 440, 492, 590 ], [ 169, 189, 193, 353, 441, 493, 590 ], [ 170, 190, 194, 354, 442, 494, 590 ], [ 171, 191, 195, 355, 443, 495, 590 ], [ 224, 244, 248, 296, 408, 496, 591 ], [ 225, 245, 249, 297, 409, 497, 591 ], [ 226, 246, 250, 298, 410, 498, 591 ], [ 227, 247, 251, 299, 411, 499, 591 ], [ 104, 124, 128, 288, 376, 428, 592 ], [ 105, 125, 129, 289, 377, 429, 592 ], [ 106, 126, 130, 290, 378, 430, 592 ], [ 107, 127, 131, 291, 379, 431, 592 ], [ 96, 116, 120, 280, 368, 420, 593 ], [ 97, 117, 121, 281, 369, 421, 593 ], [ 98, 118, 122, 282, 370, 422, 593 ], [ 99, 119, 123, 283, 371, 423, 593 ], [ 4, 8, 236, 256, 308, 420, 594 ], [ 5, 9, 237, 257, 309, 421, 594 ], [ 6, 10, 238, 258, 310, 422, 594 ], [ 7, 11, 239, 259, 311, 423, 594 ], [ 8, 12, 240, 260, 312, 424, 595 ], [ 9, 13, 241, 261, 313, 425, 595 ], [ 10, 14, 242, 262, 314, 426, 595 ], [ 11, 15, 243, 263, 315, 427, 595 ], [ 12, 16, 244, 264, 316, 428, 596 ], [ 13, 17, 245, 265, 317, 429, 596 ], [ 14, 18, 246, 266, 318, 430, 596 ], [ 15, 19, 247, 267, 319, 431, 596 ], [ 16, 20, 248, 268, 320, 432, 597 ], [ 17, 21, 249, 269, 321, 433, 597 ], [ 18, 22, 250, 270, 322, 434, 597 ], [ 19, 23, 251, 271, 323, 435, 597 ], [ 0, 20, 24, 272, 324, 436, 598 ], [ 1, 21, 25, 273, 325, 437, 598 ], [ 2, 22, 26, 274, 326, 438, 598 ], [ 3, 23, 27, 275, 327, 439, 598 ], [ 4, 24, 28, 276, 328, 440, 599 ], [ 5, 25, 29, 277, 329, 441, 599 ], [ 6, 26, 30, 278, 330, 442, 599 ], [ 7, 27, 31, 279, 331, 443, 599 ], [ 8, 28, 32, 280, 332, 444, 600 ], [ 9, 29, 33, 281, 333, 445, 600 ], [ 10, 30, 34, 282, 334, 446, 600 ], [ 11, 31, 35, 283, 335, 447, 600 ], [ 12, 32, 36, 284, 336, 448, 601 ], [ 13, 33, 37, 285, 337, 449, 601 ], [ 14, 34, 38, 286, 338, 450, 601 ], [ 15, 35, 39, 287, 339, 451, 601 ], [ 16, 36, 40, 288, 340, 452, 602 ], [ 17, 37, 41, 289, 341, 453, 602 ], [ 18, 38, 42, 290, 342, 454, 602 ], [ 19, 39, 43, 291, 343, 455, 602 ], [ 20, 40, 44, 292, 344, 456, 603 ], [ 21, 41, 45, 293, 345, 457, 603 ], [ 22, 42, 46, 294, 346, 458, 603 ], [ 23, 43, 47, 295, 347, 459, 603 ], [ 24, 44, 48, 296, 348, 460, 604 ], [ 25, 45, 49, 297, 349, 461, 604 ], [ 26, 46, 50, 298, 350, 462, 604 ], [ 27, 47, 51, 299, 351, 463, 604 ], [ 28, 48, 52, 300, 352, 464, 605 ], [ 29, 49, 53, 301, 353, 465, 605 ], [ 30, 50, 54, 302, 354, 466, 605 ], [ 31, 51, 55, 303, 355, 467, 605 ], [ 32, 52, 56, 304, 356, 468, 606 ], [ 33, 53, 57, 305, 357, 469, 606 ], [ 34, 54, 58, 306, 358, 470, 606 ], [ 35, 55, 59, 307, 359, 471, 606 ], [ 100, 120, 124, 284, 372, 424, 607 ], [ 101, 121, 125, 285, 373, 425, 607 ], [ 102, 122, 126, 286, 374, 426, 607 ], [ 103, 123, 127, 287, 375, 427, 607 ], [ 36, 56, 60, 308, 360, 472, 608 ], [ 37, 57, 61, 309, 361, 473, 608 ], [ 38, 58, 62, 310, 362, 474, 608 ], [ 39, 59, 63, 311, 363, 475, 608 ], [ 44, 64, 68, 316, 368, 480, 609 ], [ 45, 65, 69, 317, 369, 481, 609 ], [ 46, 66, 70, 318, 370, 482, 609 ], [ 47, 67, 71, 319, 371, 483, 609 ], [ 48, 68, 72, 320, 372, 484, 610 ], [ 49, 69, 73, 321, 373, 485, 610 ], [ 50, 70, 74, 322, 374, 486, 610 ], [ 51, 71, 75, 323, 375, 487, 610 ], [ 52, 72, 76, 324, 376, 488, 611 ], [ 53, 73, 77, 325, 377, 489, 611 ], [ 54, 74, 78, 326, 378, 490, 611 ], [ 55, 75, 79, 327, 379, 491, 611 ], [ 56, 76, 80, 328, 380, 492, 612 ], [ 57, 77, 81, 329, 381, 493, 612 ], [ 58, 78, 82, 330, 382, 494, 612 ], [ 59, 79, 83, 331, 383, 495, 612 ], [ 60, 80, 84, 332, 384, 496, 613 ], [ 61, 81, 85, 333, 385, 497, 613 ], [ 62, 82, 86, 334, 386, 498, 613 ], [ 63, 83, 87, 335, 387, 499, 613 ], [ 64, 84, 88, 336, 388, 500, 614 ], [ 65, 85, 89, 337, 389, 501, 614 ], [ 66, 86, 90, 338, 390, 502, 614 ], [ 67, 87, 91, 339, 391, 503, 614 ], [ 68, 88, 92, 252, 340, 392, 615 ], [ 69, 89, 93, 253, 341, 393, 615 ], [ 70, 90, 94, 254, 342, 394, 615 ], [ 71, 91, 95, 255, 343, 395, 615 ], [ 76, 96, 100, 260, 348, 400, 616 ], [ 77, 97, 101, 261, 349, 401, 616 ], [ 78, 98, 102, 262, 350, 402, 616 ], [ 79, 99, 103, 263, 351, 403, 616 ], [ 84, 104, 108, 268, 356, 408, 617 ], [ 85, 105, 109, 269, 357, 409, 617 ], [ 86, 106, 110, 270, 358, 410, 617 ], [ 87, 107, 111, 271, 359, 411, 617 ], [ 0, 1, 2, 3, 504, 513, 549 ], [ 4, 5, 6, 7, 514, 537, 551 ], [ 8, 9, 10, 11, 515, 538 ], [ 12, 13, 14, 15, 516, 539, 552 ], [ 16, 17, 18, 19, 517, 540, 553 ], [ 20, 21, 22, 23, 519, 541, 554 ], [ 24, 25, 26, 27, 533, 542, 555 ], [ 28, 29, 30, 31, 520, 543, 556 ], [ 32, 33, 34, 35, 521, 544, 557 ], [ 36, 37, 38, 39, 522, 545, 558 ], [ 40, 41, 42, 43, 523, 546, 559 ], [ 44, 45, 46, 47, 524, 547 ], [ 48, 49, 50, 51, 525, 548, 560 ], [ 52, 53, 54, 55, 526, 549 ], [ 56, 57, 58, 59, 527, 551 ], [ 60, 61, 62, 63, 528 ], [ 64, 65, 66, 67, 529, 536, 552 ], [ 68, 69, 70, 71, 530, 550, 553 ], [ 72, 73, 74, 75, 531, 535, 554 ], [ 76, 77, 78, 79, 518, 532, 555 ], [ 80, 81, 82, 83, 505, 534, 556 ], [ 84, 85, 86, 87, 506, 557 ], [ 88, 89, 90, 91, 504, 507, 558 ], [ 92, 93, 94, 95, 508, 537, 559 ], [ 96, 97, 98, 99, 509, 538 ], [ 100, 101, 102, 103, 510, 539, 560 ], [ 104, 105, 106, 107, 511, 540 ], [ 108, 109, 110, 111, 512, 541 ], [ 112, 113, 114, 115, 513, 542 ], [ 116, 117, 118, 119, 514, 536, 543 ], [ 120, 121, 122, 123, 515, 544, 550 ], [ 124, 125, 126, 127, 516, 535, 545 ], [ 128, 129, 130, 131, 517, 518, 546 ], [ 132, 133, 134, 135, 505, 519, 547 ], [ 136, 137, 138, 139, 506, 533, 548 ], [ 140, 141, 142, 143, 507, 520, 549 ], [ 144, 145, 146, 147, 508, 521, 551 ], [ 148, 149, 150, 151, 509, 522 ], [ 152, 153, 154, 155, 510, 523, 552 ], [ 156, 157, 158, 159, 511, 524, 553 ], [ 160, 161, 162, 163, 512, 525, 554 ], [ 164, 165, 166, 167, 513, 526, 555 ], [ 168, 169, 170, 171, 514, 527, 556 ], [ 172, 173, 174, 175, 515, 528, 557 ], [ 176, 177, 178, 179, 516, 529, 558 ], [ 180, 181, 182, 183, 517, 530, 559 ], [ 184, 185, 186, 187, 519, 531 ], [ 188, 189, 190, 191, 532, 533, 560 ], [ 192, 193, 194, 195, 520, 534 ], [ 196, 197, 198, 199, 521 ], [ 200, 201, 202, 203, 504, 522 ], [ 204, 205, 206, 207, 523, 536, 537 ], [ 208, 209, 210, 211, 524, 538, 550 ], [ 212, 213, 214, 215, 525, 535, 539 ], [ 216, 217, 218, 219, 518, 526, 540 ], [ 220, 221, 222, 223, 505, 527, 541 ], [ 224, 225, 226, 227, 506, 528, 542 ], [ 228, 229, 230, 231, 507, 529, 543 ], [ 232, 233, 234, 235, 508, 530, 544 ], [ 236, 237, 238, 239, 509, 531, 545 ], [ 240, 241, 242, 243, 510, 532, 546 ], [ 244, 245, 246, 247, 511, 534, 547 ], [ 248, 249, 250, 251, 512, 548 ], [ 252, 253, 254, 255, 504, 530, 537 ], [ 256, 257, 258, 259, 531, 537, 538 ], [ 260, 261, 262, 263, 532, 538, 539 ], [ 264, 265, 266, 267, 534, 539, 540 ], [ 268, 269, 270, 271, 540, 541 ], [ 272, 273, 274, 275, 504, 541, 542 ], [ 276, 277, 278, 279, 537, 542, 543 ], [ 280, 281, 282, 283, 538, 543, 544 ], [ 284, 285, 286, 287, 539, 544, 545 ], [ 288, 289, 290, 291, 540, 545, 546 ], [ 292, 293, 294, 295, 541, 546, 547 ], [ 296, 297, 298, 299, 542, 547, 548 ], [ 300, 301, 302, 303, 543, 548, 549 ], [ 304, 305, 306, 307, 544, 549, 551 ], [ 308, 309, 310, 311, 545, 551 ], [ 312, 313, 314, 315, 546, 552 ], [ 316, 317, 318, 319, 547, 552, 553 ], [ 320, 321, 322, 323, 548, 553, 554 ], [ 324, 325, 326, 327, 549, 554, 555 ], [ 328, 329, 330, 331, 551, 555, 556 ], [ 332, 333, 334, 335, 556, 557 ], [ 336, 337, 338, 339, 552, 557, 558 ], [ 340, 341, 342, 343, 553, 558, 559 ], [ 344, 345, 346, 347, 554, 559 ], [ 348, 349, 350, 351, 555, 560 ], [ 352, 353, 354, 355, 556, 560 ], [ 356, 357, 358, 359, 557 ], [ 360, 361, 362, 363, 558 ], [ 364, 365, 366, 367, 536, 559 ], [ 368, 369, 370, 371, 536, 550 ], [ 372, 373, 374, 375, 535, 550, 560 ], [ 376, 377, 378, 379, 518, 535 ], [ 380, 381, 382, 383, 505, 518 ], [ 384, 385, 386, 387, 505, 506 ], [ 388, 389, 390, 391, 506, 507, 536 ], [ 392, 393, 394, 395, 507, 508, 550 ], [ 396, 397, 398, 399, 508, 509, 535 ], [ 400, 401, 402, 403, 509, 510, 518 ], [ 404, 405, 406, 407, 505, 510, 511 ], [ 408, 409, 410, 411, 506, 511, 512 ], [ 412, 413, 414, 415, 507, 512, 513 ], [ 416, 417, 418, 419, 508, 513, 514 ], [ 420, 421, 422, 423, 509, 514, 515 ], [ 424, 425, 426, 427, 510, 515, 516 ], [ 428, 429, 430, 431, 511, 516, 517 ], [ 432, 433, 434, 435, 512, 517, 519 ], [ 436, 437, 438, 439, 513, 519, 533 ], [ 440, 441, 442, 443, 514, 520, 533 ], [ 444, 445, 446, 447, 515, 520, 521 ], [ 448, 449, 450, 451, 516, 521, 522 ], [ 452, 453, 454, 455, 517, 522, 523 ], [ 456, 457, 458, 459, 519, 523, 524 ], [ 460, 461, 462, 463, 524, 525, 533 ], [ 464, 465, 466, 467, 520, 525, 526 ], [ 468, 469, 470, 471, 521, 526, 527 ], [ 472, 473, 474, 475, 522, 527, 528 ], [ 476, 477, 478, 479, 523, 528, 529 ], [ 480, 481, 482, 483, 524, 529, 530 ], [ 484, 485, 486, 487, 525, 530, 531 ], [ 488, 489, 490, 491, 526, 531, 532 ], [ 492, 493, 494, 495, 527, 532, 534 ], [ 496, 497, 498, 499, 528, 534 ], [ 500, 501, 502, 503, 504, 529 ] ], "Z": [ [ 0, 88, 200, 252, 272, 500, 504 ], [ 1, 89, 201, 253, 273, 501, 504 ], [ 2, 90, 202, 254, 274, 502, 504 ], [ 3, 91, 203, 255, 275, 503, 504 ], [ 80, 132, 220, 380, 384, 404, 505 ], [ 81, 133, 221, 381, 385, 405, 505 ], [ 82, 134, 222, 382, 386, 406, 505 ], [ 83, 135, 223, 383, 387, 407, 505 ], [ 84, 136, 224, 384, 388, 408, 506 ], [ 85, 137, 225, 385, 389, 409, 506 ], [ 86, 138, 226, 386, 390, 410, 506 ], [ 87, 139, 227, 387, 391, 411, 506 ], [ 88, 140, 228, 388, 392, 412, 507 ], [ 89, 141, 229, 389, 393, 413, 507 ], [ 90, 142, 230, 390, 394, 414, 507 ], [ 91, 143, 231, 391, 395, 415, 507 ], [ 92, 144, 232, 392, 396, 416, 508 ], [ 93, 145, 233, 393, 397, 417, 508 ], [ 94, 146, 234, 394, 398, 418, 508 ], [ 95, 147, 235, 395, 399, 419, 508 ], [ 96, 148, 236, 396, 400, 420, 509 ], [ 97, 149, 237, 397, 401, 421, 509 ], [ 98, 150, 238, 398, 402, 422, 509 ], [ 99, 151, 239, 399, 403, 423, 509 ], [ 100, 152, 240, 400, 404, 424, 510 ], [ 101, 153, 241, 401, 405, 425, 510 ], [ 102, 154, 242, 402, 406, 426, 510 ], [ 103, 155, 243, 403, 407, 427, 510 ], [ 104, 156, 244, 404, 408, 428, 511 ], [ 105, 157, 245, 405, 409, 429, 511 ], [ 106, 158, 246, 406, 410, 430, 511 ], [ 107, 159, 247, 407, 411, 431, 511 ], [ 108, 160, 248, 408, 412, 432, 512 ], [ 109, 161, 249, 409, 413, 433, 512 ], [ 110, 162, 250, 410, 414, 434, 512 ], [ 111, 163, 251, 411, 415, 435, 512 ], [ 0, 112, 164, 412, 416, 436, 513 ], [ 1, 113, 165, 413, 417, 437, 513 ], [ 2, 114, 166, 414, 418, 438, 513 ], [ 3, 115, 167, 415, 419, 439, 513 ], [ 4, 116, 168, 416, 420, 440, 514 ], [ 5, 117, 169, 417, 421, 441, 514 ], [ 6, 118, 170, 418, 422, 442, 514 ], [ 7, 119, 171, 419, 423, 443, 514 ], [ 8, 120, 172, 420, 424, 444, 515 ], [ 9, 121, 173, 421, 425, 445, 515 ], [ 10, 122, 174, 422, 426, 446, 515 ], [ 11, 123, 175, 423, 427, 447, 515 ], [ 12, 124, 176, 424, 428, 448, 516 ], [ 13, 125, 177, 425, 429, 449, 516 ], [ 14, 126, 178, 426, 430, 450, 516 ], [ 15, 127, 179, 427, 431, 451, 516 ], [ 16, 128, 180, 428, 432, 452, 517 ], [ 17, 129, 181, 429, 433, 453, 517 ], [ 18, 130, 182, 430, 434, 454, 517 ], [ 19, 131, 183, 431, 435, 455, 517 ], [ 76, 128, 216, 376, 380, 400, 518 ], [ 77, 129, 217, 377, 381, 401, 518 ], [ 78, 130, 218, 378, 382, 402, 518 ], [ 79, 131, 219, 379, 383, 403, 518 ], [ 20, 132, 184, 432, 436, 456, 519 ], [ 21, 133, 185, 433, 437, 457, 519 ], [ 22, 134, 186, 434, 438, 458, 519 ], [ 23, 135, 187, 435, 439, 459, 519 ], [ 28, 140, 192, 440, 444, 464, 520 ], [ 29, 141, 193, 441, 445, 465, 520 ], [ 30, 142, 194, 442, 446, 466, 520 ], [ 31, 143, 195, 443, 447, 467, 520 ], [ 32, 144, 196, 444, 448, 468, 521 ], [ 33, 145, 197, 445, 449, 469, 521 ], [ 34, 146, 198, 446, 450, 470, 521 ], [ 35, 147, 199, 447, 451, 471, 521 ], [ 36, 148, 200, 448, 452, 472, 522 ], [ 37, 149, 201, 449, 453, 473, 522 ], [ 38, 150, 202, 450, 454, 474, 522 ], [ 39, 151, 203, 451, 455, 475, 522 ], [ 40, 152, 204, 452, 456, 476, 523 ], [ 41, 153, 205, 453, 457, 477, 523 ], [ 42, 154, 206, 454, 458, 478, 523 ], [ 43, 155, 207, 455, 459, 479, 523 ], [ 44, 156, 208, 456, 460, 480, 524 ], [ 45, 157, 209, 457, 461, 481, 524 ], [ 46, 158, 210, 458, 462, 482, 524 ], [ 47, 159, 211, 459, 463, 483, 524 ], [ 48, 160, 212, 460, 464, 484, 525 ], [ 49, 161, 213, 461, 465, 485, 525 ], [ 50, 162, 214, 462, 466, 486, 525 ], [ 51, 163, 215, 463, 467, 487, 525 ], [ 52, 164, 216, 464, 468, 488, 526 ], [ 53, 165, 217, 465, 469, 489, 526 ], [ 54, 166, 218, 466, 470, 490, 526 ], [ 55, 167, 219, 467, 471, 491, 526 ], [ 56, 168, 220, 468, 472, 492, 527 ], [ 57, 169, 221, 469, 473, 493, 527 ], [ 58, 170, 222, 470, 474, 494, 527 ], [ 59, 171, 223, 471, 475, 495, 527 ], [ 60, 172, 224, 472, 476, 496, 528 ], [ 61, 173, 225, 473, 477, 497, 528 ], [ 62, 174, 226, 474, 478, 498, 528 ], [ 63, 175, 227, 475, 479, 499, 528 ], [ 64, 176, 228, 476, 480, 500, 529 ], [ 65, 177, 229, 477, 481, 501, 529 ], [ 66, 178, 230, 478, 482, 502, 529 ], [ 67, 179, 231, 479, 483, 503, 529 ], [ 68, 180, 232, 252, 480, 484, 530 ], [ 69, 181, 233, 253, 481, 485, 530 ], [ 70, 182, 234, 254, 482, 486, 530 ], [ 71, 183, 235, 255, 483, 487, 530 ], [ 72, 184, 236, 256, 484, 488, 531 ], [ 73, 185, 237, 257, 485, 489, 531 ], [ 74, 186, 238, 258, 486, 490, 531 ], [ 75, 187, 239, 259, 487, 491, 531 ], [ 76, 188, 240, 260, 488, 492, 532 ], [ 77, 189, 241, 261, 489, 493, 532 ], [ 78, 190, 242, 262, 490, 494, 532 ], [ 79, 191, 243, 263, 491, 495, 532 ], [ 24, 136, 188, 436, 440, 460, 533 ], [ 25, 137, 189, 437, 441, 461, 533 ], [ 26, 138, 190, 438, 442, 462, 533 ], [ 27, 139, 191, 439, 443, 463, 533 ], [ 80, 192, 244, 264, 492, 496, 534 ], [ 81, 193, 245, 265, 493, 497, 534 ], [ 82, 194, 246, 266, 494, 498, 534 ], [ 83, 195, 247, 267, 495, 499, 534 ], [ 72, 124, 212, 372, 376, 396, 535 ], [ 73, 125, 213, 373, 377, 397, 535 ], [ 74, 126, 214, 374, 378, 398, 535 ], [ 75, 127, 215, 375, 379, 399, 535 ], [ 64, 116, 204, 364, 368, 388, 536 ], [ 65, 117, 205, 365, 369, 389, 536 ], [ 66, 118, 206, 366, 370, 390, 536 ], [ 67, 119, 207, 367, 371, 391, 536 ], [ 4, 92, 204, 252, 256, 276, 537 ], [ 5, 93, 205, 253, 257, 277, 537 ], [ 6, 94, 206, 254, 258, 278, 537 ], [ 7, 95, 207, 255, 259, 279, 537 ], [ 8, 96, 208, 256, 260, 280, 538 ], [ 9, 97, 209, 257, 261, 281, 538 ], [ 10, 98, 210, 258, 262, 282, 538 ], [ 11, 99, 211, 259, 263, 283, 538 ], [ 12, 100, 212, 260, 264, 284, 539 ], [ 13, 101, 213, 261, 265, 285, 539 ], [ 14, 102, 214, 262, 266, 286, 539 ], [ 15, 103, 215, 263, 267, 287, 539 ], [ 16, 104, 216, 264, 268, 288, 540 ], [ 17, 105, 217, 265, 269, 289, 540 ], [ 18, 106, 218, 266, 270, 290, 540 ], [ 19, 107, 219, 267, 271, 291, 540 ], [ 20, 108, 220, 268, 272, 292, 541 ], [ 21, 109, 221, 269, 273, 293, 541 ], [ 22, 110, 222, 270, 274, 294, 541 ], [ 23, 111, 223, 271, 275, 295, 541 ], [ 24, 112, 224, 272, 276, 296, 542 ], [ 25, 113, 225, 273, 277, 297, 542 ], [ 26, 114, 226, 274, 278, 298, 542 ], [ 27, 115, 227, 275, 279, 299, 542 ], [ 28, 116, 228, 276, 280, 300, 543 ], [ 29, 117, 229, 277, 281, 301, 543 ], [ 30, 118, 230, 278, 282, 302, 543 ], [ 31, 119, 231, 279, 283, 303, 543 ], [ 32, 120, 232, 280, 284, 304, 544 ], [ 33, 121, 233, 281, 285, 305, 544 ], [ 34, 122, 234, 282, 286, 306, 544 ], [ 35, 123, 235, 283, 287, 307, 544 ], [ 36, 124, 236, 284, 288, 308, 545 ], [ 37, 125, 237, 285, 289, 309, 545 ], [ 38, 126, 238, 286, 290, 310, 545 ], [ 39, 127, 239, 287, 291, 311, 545 ], [ 40, 128, 240, 288, 292, 312, 546 ], [ 41, 129, 241, 289, 293, 313, 546 ], [ 42, 130, 242, 290, 294, 314, 546 ], [ 43, 131, 243, 291, 295, 315, 546 ], [ 44, 132, 244, 292, 296, 316, 547 ], [ 45, 133, 245, 293, 297, 317, 547 ], [ 46, 134, 246, 294, 298, 318, 547 ], [ 47, 135, 247, 295, 299, 319, 547 ], [ 48, 136, 248, 296, 300, 320, 548 ], [ 49, 137, 249, 297, 301, 321, 548 ], [ 50, 138, 250, 298, 302, 322, 548 ], [ 51, 139, 251, 299, 303, 323, 548 ], [ 0, 52, 140, 300, 304, 324, 549 ], [ 1, 53, 141, 301, 305, 325, 549 ], [ 2, 54, 142, 302, 306, 326, 549 ], [ 3, 55, 143, 303, 307, 327, 549 ], [ 68, 120, 208, 368, 372, 392, 550 ], [ 69, 121, 209, 369, 373, 393, 550 ], [ 70, 122, 210, 370, 374, 394, 550 ], [ 71, 123, 211, 371, 375, 395, 550 ], [ 4, 56, 144, 304, 308, 328, 551 ], [ 5, 57, 145, 305, 309, 329, 551 ], [ 6, 58, 146, 306, 310, 330, 551 ], [ 7, 59, 147, 307, 311, 331, 551 ], [ 12, 64, 152, 312, 316, 336, 552 ], [ 13, 65, 153, 313, 317, 337, 552 ], [ 14, 66, 154, 314, 318, 338, 552 ], [ 15, 67, 155, 315, 319, 339, 552 ], [ 16, 68, 156, 316, 320, 340, 553 ], [ 17, 69, 157, 317, 321, 341, 553 ], [ 18, 70, 158, 318, 322, 342, 553 ], [ 19, 71, 159, 319, 323, 343, 553 ], [ 20, 72, 160, 320, 324, 344, 554 ], [ 21, 73, 161, 321, 325, 345, 554 ], [ 22, 74, 162, 322, 326, 346, 554 ], [ 23, 75, 163, 323, 327, 347, 554 ], [ 24, 76, 164, 324, 328, 348, 555 ], [ 25, 77, 165, 325, 329, 349, 555 ], [ 26, 78, 166, 326, 330, 350, 555 ], [ 27, 79, 167, 327, 331, 351, 555 ], [ 28, 80, 168, 328, 332, 352, 556 ], [ 29, 81, 169, 329, 333, 353, 556 ], [ 30, 82, 170, 330, 334, 354, 556 ], [ 31, 83, 171, 331, 335, 355, 556 ], [ 32, 84, 172, 332, 336, 356, 557 ], [ 33, 85, 173, 333, 337, 357, 557 ], [ 34, 86, 174, 334, 338, 358, 557 ], [ 35, 87, 175, 335, 339, 359, 557 ], [ 36, 88, 176, 336, 340, 360, 558 ], [ 37, 89, 177, 337, 341, 361, 558 ], [ 38, 90, 178, 338, 342, 362, 558 ], [ 39, 91, 179, 339, 343, 363, 558 ], [ 40, 92, 180, 340, 344, 364, 559 ], [ 41, 93, 181, 341, 345, 365, 559 ], [ 42, 94, 182, 342, 346, 366, 559 ], [ 43, 95, 183, 343, 347, 367, 559 ], [ 48, 100, 188, 348, 352, 372, 560 ], [ 49, 101, 189, 349, 353, 373, 560 ], [ 50, 102, 190, 350, 354, 374, 560 ], [ 51, 103, 191, 351, 355, 375, 560 ], [ 0, 1, 2, 3, 561, 598 ], [ 4, 5, 6, 7, 561, 594, 599 ], [ 8, 9, 10, 11, 594, 595, 600 ], [ 12, 13, 14, 15, 595, 596, 601 ], [ 16, 17, 18, 19, 596, 597, 602 ], [ 20, 21, 22, 23, 597, 598, 603 ], [ 24, 25, 26, 27, 598, 599, 604 ], [ 28, 29, 30, 31, 599, 600, 605 ], [ 32, 33, 34, 35, 600, 601, 606 ], [ 36, 37, 38, 39, 601, 602, 608 ], [ 40, 41, 42, 43, 602, 603 ], [ 44, 45, 46, 47, 603, 604, 609 ], [ 48, 49, 50, 51, 604, 605, 610 ], [ 52, 53, 54, 55, 605, 606, 611 ], [ 56, 57, 58, 59, 606, 608, 612 ], [ 60, 61, 62, 63, 608, 613 ], [ 64, 65, 66, 67, 609, 614 ], [ 68, 69, 70, 71, 609, 610, 615 ], [ 72, 73, 74, 75, 610, 611 ], [ 76, 77, 78, 79, 611, 612, 616 ], [ 80, 81, 82, 83, 612, 613 ], [ 84, 85, 86, 87, 613, 614, 617 ], [ 88, 89, 90, 91, 614, 615 ], [ 92, 93, 94, 95, 615 ], [ 96, 97, 98, 99, 593, 616 ], [ 100, 101, 102, 103, 607, 616 ], [ 104, 105, 106, 107, 592, 617 ], [ 108, 109, 110, 111, 575, 617 ], [ 112, 113, 114, 115, 562 ], [ 116, 117, 118, 119, 563, 593 ], [ 120, 121, 122, 123, 564, 593, 607 ], [ 124, 125, 126, 127, 565, 592, 607 ], [ 128, 129, 130, 131, 566, 575, 592 ], [ 132, 133, 134, 135, 562, 567, 575 ], [ 136, 137, 138, 139, 562, 563, 568 ], [ 140, 141, 142, 143, 563, 564, 569 ], [ 144, 145, 146, 147, 564, 565, 570 ], [ 148, 149, 150, 151, 565, 566, 571 ], [ 152, 153, 154, 155, 566, 567, 572 ], [ 156, 157, 158, 159, 567, 568, 573 ], [ 160, 161, 162, 163, 568, 569, 574 ], [ 164, 165, 166, 167, 569, 570, 576 ], [ 168, 169, 170, 171, 570, 571, 590 ], [ 172, 173, 174, 175, 571, 572, 577 ], [ 176, 177, 178, 179, 572, 573, 578 ], [ 180, 181, 182, 183, 573, 574, 579 ], [ 184, 185, 186, 187, 574, 576, 580 ], [ 188, 189, 190, 191, 576, 581, 590 ], [ 192, 193, 194, 195, 577, 582, 590 ], [ 196, 197, 198, 199, 577, 578, 583 ], [ 200, 201, 202, 203, 578, 579, 584 ], [ 204, 205, 206, 207, 579, 580, 585 ], [ 208, 209, 210, 211, 580, 581, 586 ], [ 212, 213, 214, 215, 581, 582, 587 ], [ 216, 217, 218, 219, 582, 583, 588 ], [ 220, 221, 222, 223, 583, 584, 589 ], [ 224, 225, 226, 227, 584, 585, 591 ], [ 228, 229, 230, 231, 585, 586 ], [ 232, 233, 234, 235, 561, 586, 587 ], [ 236, 237, 238, 239, 587, 588, 594 ], [ 240, 241, 242, 243, 588, 589, 595 ], [ 244, 245, 246, 247, 589, 591, 596 ], [ 248, 249, 250, 251, 591, 597 ], [ 252, 253, 254, 255, 561, 579, 615 ], [ 256, 257, 258, 259, 580, 594 ], [ 260, 261, 262, 263, 581, 595, 616 ], [ 264, 265, 266, 267, 582, 596 ], [ 268, 269, 270, 271, 583, 597, 617 ], [ 272, 273, 274, 275, 584, 598 ], [ 276, 277, 278, 279, 585, 599 ], [ 280, 281, 282, 283, 586, 593, 600 ], [ 284, 285, 286, 287, 587, 601, 607 ], [ 288, 289, 290, 291, 588, 592, 602 ], [ 292, 293, 294, 295, 575, 589, 603 ], [ 296, 297, 298, 299, 562, 591, 604 ], [ 300, 301, 302, 303, 563, 605 ], [ 304, 305, 306, 307, 561, 564, 606 ], [ 308, 309, 310, 311, 565, 594, 608 ], [ 312, 313, 314, 315, 566, 595 ], [ 316, 317, 318, 319, 567, 596, 609 ], [ 320, 321, 322, 323, 568, 597, 610 ], [ 324, 325, 326, 327, 569, 598, 611 ], [ 328, 329, 330, 331, 570, 599, 612 ], [ 332, 333, 334, 335, 571, 600, 613 ], [ 336, 337, 338, 339, 572, 601, 614 ], [ 340, 341, 342, 343, 573, 602, 615 ], [ 344, 345, 346, 347, 574, 603 ], [ 348, 349, 350, 351, 576, 604, 616 ], [ 352, 353, 354, 355, 590, 605 ], [ 356, 357, 358, 359, 577, 606, 617 ], [ 360, 361, 362, 363, 578, 608 ], [ 364, 365, 366, 367, 579 ], [ 368, 369, 370, 371, 580, 593, 609 ], [ 372, 373, 374, 375, 581, 607, 610 ], [ 376, 377, 378, 379, 582, 592, 611 ], [ 380, 381, 382, 383, 575, 583, 612 ], [ 384, 385, 386, 387, 562, 584, 613 ], [ 388, 389, 390, 391, 563, 585, 614 ], [ 392, 393, 394, 395, 564, 586, 615 ], [ 396, 397, 398, 399, 565, 587 ], [ 400, 401, 402, 403, 566, 588, 616 ], [ 404, 405, 406, 407, 567, 589 ], [ 408, 409, 410, 411, 568, 591, 617 ], [ 412, 413, 414, 415, 569 ], [ 416, 417, 418, 419, 561, 570 ], [ 420, 421, 422, 423, 571, 593, 594 ], [ 424, 425, 426, 427, 572, 595, 607 ], [ 428, 429, 430, 431, 573, 592, 596 ], [ 432, 433, 434, 435, 574, 575, 597 ], [ 436, 437, 438, 439, 562, 576, 598 ], [ 440, 441, 442, 443, 563, 590, 599 ], [ 444, 445, 446, 447, 564, 577, 600 ], [ 448, 449, 450, 451, 565, 578, 601 ], [ 452, 453, 454, 455, 566, 579, 602 ], [ 456, 457, 458, 459, 567, 580, 603 ], [ 460, 461, 462, 463, 568, 581, 604 ], [ 464, 465, 466, 467, 569, 582, 605 ], [ 468, 469, 470, 471, 570, 583, 606 ], [ 472, 473, 474, 475, 571, 584, 608 ], [ 476, 477, 478, 479, 572, 585 ], [ 480, 481, 482, 483, 573, 586, 609 ], [ 484, 485, 486, 487, 574, 587, 610 ], [ 488, 489, 490, 491, 576, 588, 611 ], [ 492, 493, 494, 495, 589, 590, 612 ], [ 496, 497, 498, 499, 577, 591, 613 ], [ 500, 501, 502, 503, 578, 614 ] ] }, "distance": { "d": 20, "X": { "value": 20, "confidence": "upper_bound", "witness": [ 4, 5, 28, 29, 56, 57, 84, 85, 168, 169, 192, 193, 224, 225, 276, 277, 356, 357, 496, 497 ] }, "Z": { "value": 20, "confidence": "upper_bound", "witness": [ 4, 5, 112, 113, 228, 229, 232, 233, 236, 237, 276, 277, 324, 325, 412, 413, 436, 437, 488, 489 ] } }, "provenance": { "authors": [ "@MathysRennela" ], "construction": "Distance-amplified code: one [[4,2,2]] tensor-product amplification step (central three-term truncation of the chain-complex tensor product, arXiv:2609.37231 Eq. 1/Eq. 12-15) applied to the board's [[126,12,10]] entry, using a sparse independent-row presentation of its checks: n' = 4n + m_X + m_Z = 618, k' = 2k = 24, check weight w' = w+1 = 7. X/Z witnesses are the base witnesses tensored with the weight-2 [[4,2,2]] logical on the central register (weights 20/20); a 100000-trial fast-backend search (seed 5000) found nothing lighter (min weight 20). Base provenance: Coprime bivariate bicycle on Z_7 x Z_9, pi=xy, a(pi)=1+pi+pi^58, b(pi)=1+pi^13+pi^41. From arXiv:2408.10001v6 (Wang & Mueller, 2026).", "references": [ "arXiv:2609.37231" ], "date": "2026-09-30", "notes": "Constructed and packaged with the Space Bunny Alpha 1.0 model.", "model": "Space Bunny Alpha 1.0" }, "family": "distance-amplified" }