{ "schema_version": "0.1", "name": "[[360,20,27]] CLP code, weight 10, SmallGroup(270,25)", "code_type": "CSS", "n": 360, "k": 20, "checks": { "X": [ [ 0, 6, 21, 35, 59, 85, 180, 217, 264, 270 ], [ 0, 1, 46, 60, 67, 82, 181, 211, 269, 271 ], [ 2, 4, 15, 50, 68, 72, 182, 192, 268, 272 ], [ 1, 3, 37, 68, 74, 77, 183, 234, 239, 273 ], [ 2, 4, 19, 38, 69, 76, 184, 202, 235, 274 ], [ 2, 5, 18, 60, 73, 78, 185, 226, 261, 275 ], [ 6, 11, 43, 62, 71, 80, 186, 228, 258, 276 ], [ 5, 7, 42, 44, 63, 70, 187, 225, 229, 277 ], [ 8, 10, 28, 44, 64, 79, 188, 203, 255, 278 ], [ 5, 9, 12, 52, 79, 83, 189, 205, 252, 279 ], [ 8, 10, 13, 32, 51, 80, 190, 206, 216, 280 ], [ 11, 17, 52, 54, 64, 84, 191, 201, 254, 281 ], [ 9, 12, 51, 53, 55, 63, 182, 192, 250, 282 ], [ 7, 10, 13, 52, 56, 62, 193, 219, 251, 283 ], [ 8, 14, 31, 53, 73, 82, 194, 198, 267, 284 ], [ 15, 22, 33, 43, 58, 86, 195, 233, 242, 285 ], [ 14, 16, 34, 42, 57, 59, 196, 197, 243, 286 ], [ 3, 17, 27, 29, 56, 87, 196, 197, 266, 287 ], [ 15, 18, 26, 55, 75, 76, 194, 198, 245, 288 ], [ 16, 19, 25, 27, 54, 77, 199, 242, 246, 289 ], [ 14, 20, 23, 61, 66, 85, 200, 219, 224, 290 ], [ 0, 21, 24, 47, 65, 86, 191, 201, 220, 291 ], [ 22, 25, 30, 35, 66, 88, 184, 202, 263, 292 ], [ 20, 23, 26, 34, 65, 67, 188, 203, 222, 293 ], [ 16, 21, 24, 27, 33, 66, 204, 223, 234, 294 ], [ 22, 25, 34, 47, 70, 81, 189, 205, 218, 295 ], [ 23, 26, 33, 35, 46, 71, 190, 206, 262, 296 ], [ 1, 24, 27, 34, 45, 72, 207, 237, 263, 297 ], [ 28, 36, 48, 58, 69, 71, 208, 213, 247, 298 ], [ 1, 29, 49, 57, 70, 72, 209, 210, 214, 299 ], [ 7, 9, 27, 30, 41, 89, 209, 210, 249, 300 ], [ 26, 28, 31, 40, 51, 84, 181, 211, 256, 301 ], [ 25, 29, 32, 39, 41, 52, 212, 213, 257, 302 ], [ 13, 30, 33, 38, 47, 61, 208, 212, 213, 303 ], [ 12, 31, 34, 37, 60, 85, 209, 214, 259, 304 ], [ 11, 13, 32, 35, 36, 86, 215, 256, 260, 305 ], [ 36, 39, 45, 50, 75, 77, 190, 216, 241, 306 ], [ 3, 37, 40, 49, 76, 78, 180, 217, 237, 307 ], [ 4, 29, 38, 41, 48, 77, 205, 218, 238, 308 ], [ 19, 36, 39, 42, 49, 87, 193, 200, 219, 309 ], [ 18, 37, 40, 43, 48, 50, 201, 220, 240, 310 ], [ 5, 17, 38, 41, 44, 49, 221, 241, 250, 311 ], [ 18, 29, 39, 42, 68, 82, 203, 222, 236, 312 ], [ 17, 19, 28, 40, 43, 83, 204, 223, 268, 313 ], [ 8, 18, 41, 44, 53, 89, 200, 224, 253, 314 ], [ 16, 20, 41, 45, 56, 81, 187, 225, 260, 315 ], [ 6, 40, 46, 55, 65, 88, 185, 226, 231, 316 ], [ 7, 39, 47, 54, 56, 66, 227, 228, 232, 317 ], [ 13, 19, 24, 45, 48, 74, 186, 227, 228, 318 ], [ 12, 23, 46, 49, 68, 73, 187, 229, 265, 319 ], [ 11, 22, 24, 47, 50, 69, 230, 231, 266, 320 ], [ 4, 21, 43, 48, 51, 64, 226, 230, 231, 321 ], [ 3, 20, 42, 49, 52, 89, 227, 232, 267, 322 ], [ 4, 28, 50, 53, 75, 88, 195, 233, 265, 323 ], [ 11, 32, 54, 57, 63, 89, 183, 204, 234, 324 ], [ 12, 31, 55, 58, 62, 64, 184, 235, 253, 325 ], [ 13, 14, 30, 56, 59, 63, 222, 236, 254, 326 ], [ 7, 31, 54, 57, 60, 79, 207, 217, 237, 327 ], [ 6, 30, 32, 55, 58, 61, 218, 238, 255, 328 ], [ 0, 31, 56, 59, 67, 81, 183, 239, 262, 329 ], [ 6, 14, 51, 57, 60, 88, 220, 240, 252, 330 ], [ 7, 20, 58, 61, 81, 86, 216, 221, 241, 331 ], [ 17, 24, 32, 38, 62, 83, 195, 199, 242, 332 ], [ 18, 23, 37, 63, 79, 82, 196, 243, 248, 333 ], [ 19, 22, 36, 38, 64, 80, 244, 245, 249, 334 ], [ 4, 10, 35, 58, 62, 65, 198, 244, 245, 335 ], [ 3, 9, 57, 63, 66, 81, 199, 246, 269, 336 ], [ 6, 10, 64, 67, 75, 84, 208, 247, 248, 337 ], [ 0, 8, 26, 65, 68, 78, 243, 247, 248, 338 ], [ 25, 45, 61, 66, 69, 83, 210, 244, 249, 339 ], [ 16, 25, 46, 70, 73, 85, 192, 221, 250, 340 ], [ 15, 26, 45, 47, 71, 74, 193, 251, 264, 341 ], [ 2, 27, 46, 72, 78, 87, 189, 240, 252, 342 ], [ 1, 15, 65, 70, 73, 75, 224, 235, 253, 343 ], [ 3, 16, 69, 71, 74, 87, 191, 236, 254, 344 ], [ 33, 36, 69, 73, 75, 78, 188, 238, 255, 345 ], [ 10, 21, 33, 50, 71, 76, 211, 215, 256, 346 ], [ 9, 20, 34, 70, 77, 87, 212, 257, 261, 347 ], [ 15, 21, 35, 78, 84, 88, 186, 258, 259, 348 ], [ 0, 2, 40, 53, 76, 79, 214, 258, 259, 349 ], [ 17, 39, 61, 74, 77, 80, 215, 225, 260, 350 ], [ 12, 14, 44, 72, 79, 81, 185, 257, 261, 351 ], [ 5, 28, 42, 76, 82, 84, 206, 239, 262, 352 ], [ 9, 29, 43, 80, 83, 89, 202, 207, 263, 353 ], [ 11, 48, 53, 80, 82, 84, 180, 251, 264, 354 ], [ 2, 8, 51, 55, 67, 85, 229, 233, 265, 355 ], [ 30, 52, 54, 74, 83, 86, 197, 230, 266, 356 ], [ 1, 23, 44, 59, 85, 87, 194, 232, 267, 357 ], [ 22, 60, 62, 67, 86, 88, 182, 223, 268, 358 ], [ 5, 37, 59, 68, 72, 89, 181, 246, 269, 359 ], [ 90, 96, 111, 125, 149, 175, 180, 344, 358 ], [ 90, 91, 136, 150, 157, 172, 181, 316, 318 ], [ 92, 94, 105, 140, 158, 162, 182, 345, 353 ], [ 91, 93, 127, 158, 164, 167, 183, 342, 354 ], [ 92, 94, 109, 128, 159, 166, 184, 279, 306 ], [ 92, 95, 108, 150, 163, 168, 185, 288, 332 ], [ 96, 101, 133, 152, 161, 170, 186, 286, 332 ], [ 95, 97, 132, 134, 153, 160, 187, 333, 335 ], [ 98, 100, 118, 134, 154, 169, 188, 331, 354 ], [ 95, 99, 102, 142, 169, 173, 189, 314, 358 ], [ 98, 100, 103, 122, 141, 170, 190, 281, 290 ], [ 101, 107, 142, 144, 154, 174, 191, 329, 353 ], [ 99, 102, 141, 143, 145, 153, 192, 278, 292 ], [ 97, 100, 103, 142, 146, 152, 193, 293, 324 ], [ 98, 104, 121, 143, 163, 172, 194, 301, 303 ], [ 105, 112, 123, 133, 148, 176, 195, 299, 303 ], [ 104, 106, 124, 132, 147, 149, 196, 304, 346 ], [ 93, 107, 117, 119, 146, 177, 197, 299, 301 ], [ 105, 108, 116, 145, 165, 166, 198, 302, 346 ], [ 106, 109, 115, 117, 144, 167, 199, 347, 349 ], [ 104, 110, 113, 151, 156, 175, 200, 329, 345 ], [ 90, 111, 114, 137, 155, 176, 201, 273, 292 ], [ 112, 115, 120, 125, 156, 178, 202, 331, 342 ], [ 110, 113, 116, 124, 155, 157, 203, 270, 306 ], [ 106, 111, 114, 117, 123, 156, 204, 295, 307 ], [ 112, 115, 124, 137, 160, 171, 205, 272, 290 ], [ 113, 116, 123, 125, 136, 161, 206, 291, 309 ], [ 91, 114, 117, 124, 135, 162, 207, 310, 340 ], [ 118, 126, 138, 148, 159, 161, 208, 277, 318 ], [ 91, 119, 139, 147, 160, 162, 209, 319, 321 ], [ 97, 99, 117, 120, 131, 179, 210, 277, 316 ], [ 116, 118, 121, 130, 141, 174, 211, 317, 321 ], [ 115, 119, 122, 129, 131, 142, 212, 322, 355 ], [ 103, 120, 123, 128, 137, 151, 213, 317, 319 ], [ 102, 121, 124, 127, 150, 175, 214, 320, 355 ], [ 101, 103, 122, 125, 126, 176, 215, 356, 357 ], [ 126, 129, 135, 140, 165, 167, 216, 314, 344 ], [ 93, 127, 130, 139, 166, 168, 217, 272, 281 ], [ 94, 119, 128, 131, 138, 167, 218, 282, 309 ], [ 109, 126, 129, 132, 139, 177, 219, 273, 278 ], [ 108, 127, 130, 133, 138, 140, 220, 274, 324 ], [ 95, 107, 128, 131, 134, 139, 221, 312, 325 ], [ 108, 119, 129, 132, 158, 172, 222, 280, 307 ], [ 107, 109, 118, 130, 133, 173, 223, 308, 327 ], [ 98, 108, 131, 134, 143, 179, 224, 328, 352 ], [ 106, 110, 131, 135, 146, 171, 225, 286, 288 ], [ 96, 130, 136, 145, 155, 178, 226, 289, 335 ], [ 97, 129, 137, 144, 146, 156, 227, 336, 338 ], [ 103, 109, 114, 135, 138, 164, 228, 289, 333 ], [ 102, 113, 136, 139, 158, 163, 229, 334, 338 ], [ 101, 112, 114, 137, 140, 159, 230, 339, 359 ], [ 94, 111, 133, 138, 141, 154, 231, 334, 336 ], [ 93, 110, 132, 139, 142, 179, 232, 337, 359 ], [ 94, 118, 140, 143, 165, 178, 233, 298, 300 ], [ 101, 122, 144, 147, 153, 179, 234, 270, 279 ], [ 102, 121, 145, 148, 152, 154, 235, 280, 295 ], [ 103, 104, 120, 146, 149, 153, 236, 296, 327 ], [ 97, 121, 144, 147, 150, 169, 237, 282, 291 ], [ 96, 120, 122, 145, 148, 151, 238, 283, 340 ], [ 90, 121, 146, 149, 157, 171, 239, 330, 341 ], [ 96, 104, 141, 147, 150, 178, 240, 294, 325 ], [ 97, 110, 148, 151, 171, 176, 241, 326, 343 ], [ 107, 114, 122, 128, 152, 173, 242, 302, 304 ], [ 108, 113, 127, 153, 169, 172, 243, 305, 349 ], [ 109, 112, 126, 128, 154, 170, 244, 350, 351 ], [ 94, 100, 125, 148, 152, 155, 245, 305, 347 ], [ 93, 99, 147, 153, 156, 171, 246, 348, 351 ], [ 96, 100, 154, 157, 165, 174, 247, 276, 315 ], [ 90, 98, 116, 155, 158, 168, 248, 348, 350 ], [ 115, 135, 151, 156, 159, 173, 249, 275, 315 ], [ 106, 115, 136, 160, 163, 175, 250, 274, 293 ], [ 105, 116, 135, 137, 161, 164, 251, 294, 312 ], [ 92, 117, 136, 162, 168, 177, 252, 313, 343 ], [ 91, 105, 155, 160, 163, 165, 253, 296, 308 ], [ 93, 106, 159, 161, 164, 177, 254, 297, 352 ], [ 123, 126, 159, 163, 165, 168, 255, 311, 341 ], [ 100, 111, 123, 140, 161, 166, 256, 320, 322 ], [ 99, 110, 124, 160, 167, 177, 257, 323, 357 ], [ 105, 111, 125, 168, 174, 178, 258, 285, 287 ], [ 90, 92, 130, 143, 166, 169, 259, 323, 356 ], [ 107, 129, 151, 164, 167, 170, 260, 284, 287 ], [ 102, 104, 134, 162, 169, 171, 261, 284, 285 ], [ 95, 118, 132, 166, 172, 174, 262, 283, 310 ], [ 99, 119, 133, 170, 173, 179, 263, 311, 330 ], [ 101, 138, 143, 170, 172, 174, 264, 313, 326 ], [ 92, 98, 141, 145, 157, 175, 265, 337, 339 ], [ 120, 142, 144, 164, 173, 176, 266, 271, 300 ], [ 91, 113, 134, 149, 175, 177, 267, 271, 298 ], [ 112, 150, 152, 157, 176, 178, 268, 297, 328 ], [ 95, 127, 149, 158, 162, 179, 269, 275, 276 ] ], "Z": [ [ 0, 37, 84, 90, 180, 181, 201, 239, 248, 259 ], [ 1, 31, 89, 91, 181, 183, 207, 209, 253, 267 ], [ 2, 12, 88, 92, 182, 184, 185, 252, 259, 265 ], [ 3, 54, 59, 93, 183, 197, 217, 232, 246, 254 ], [ 4, 22, 55, 94, 182, 184, 218, 231, 233, 245 ], [ 5, 46, 81, 95, 185, 187, 189, 221, 262, 269 ], [ 6, 48, 78, 96, 180, 186, 226, 238, 240, 247 ], [ 7, 45, 49, 97, 187, 193, 210, 227, 237, 241 ], [ 8, 23, 75, 98, 188, 190, 194, 224, 248, 265 ], [ 9, 25, 72, 99, 189, 192, 210, 246, 257, 263 ], [ 10, 26, 36, 100, 188, 190, 193, 245, 247, 256 ], [ 11, 21, 74, 101, 186, 191, 215, 230, 234, 264 ], [ 2, 12, 70, 102, 189, 192, 214, 229, 235, 261 ], [ 13, 39, 71, 103, 190, 193, 213, 215, 228, 236 ], [ 14, 18, 87, 104, 194, 196, 200, 236, 240, 261 ], [ 15, 53, 62, 105, 182, 195, 198, 251, 253, 258 ], [ 16, 17, 63, 106, 196, 199, 204, 225, 250, 254 ], [ 16, 17, 86, 107, 191, 197, 221, 223, 242, 260 ], [ 14, 18, 65, 108, 185, 198, 220, 222, 224, 243 ], [ 19, 62, 66, 109, 184, 199, 219, 223, 228, 244 ], [ 20, 39, 44, 110, 200, 203, 225, 232, 241, 257 ], [ 11, 21, 40, 111, 180, 201, 204, 231, 256, 258 ], [ 4, 22, 83, 112, 195, 202, 205, 230, 244, 268 ], [ 8, 23, 42, 113, 200, 203, 206, 229, 243, 267 ], [ 24, 43, 54, 114, 201, 204, 207, 228, 230, 242 ], [ 9, 25, 38, 115, 199, 202, 205, 212, 249, 250 ], [ 10, 26, 82, 116, 198, 203, 206, 211, 248, 251 ], [ 27, 57, 83, 117, 197, 199, 204, 207, 210, 252 ], [ 28, 33, 67, 118, 188, 208, 211, 223, 233, 262 ], [ 29, 30, 34, 119, 197, 209, 212, 218, 222, 263 ], [ 29, 30, 69, 120, 202, 210, 213, 236, 238, 266 ], [ 1, 31, 76, 121, 194, 211, 214, 235, 237, 239 ], [ 32, 33, 77, 122, 190, 212, 215, 234, 238, 242 ], [ 28, 32, 33, 123, 195, 204, 206, 213, 255, 256 ], [ 29, 34, 79, 124, 196, 203, 205, 207, 214, 257 ], [ 35, 76, 80, 125, 180, 202, 206, 215, 245, 258 ], [ 10, 36, 61, 126, 208, 215, 216, 219, 244, 255 ], [ 0, 37, 57, 127, 183, 214, 217, 220, 243, 269 ], [ 25, 38, 58, 128, 184, 213, 218, 221, 242, 244 ], [ 13, 20, 39, 129, 212, 216, 219, 222, 227, 260 ], [ 21, 40, 60, 130, 211, 217, 220, 223, 226, 259 ], [ 41, 61, 70, 131, 210, 212, 218, 221, 224, 225 ], [ 23, 42, 56, 132, 187, 196, 219, 222, 232, 262 ], [ 24, 43, 88, 133, 186, 195, 220, 223, 231, 263 ], [ 20, 44, 73, 134, 187, 188, 221, 224, 261, 267 ], [ 7, 45, 80, 135, 207, 216, 225, 228, 249, 251 ], [ 5, 46, 51, 136, 181, 206, 226, 229, 250, 252 ], [ 47, 48, 52, 137, 201, 205, 213, 227, 230, 251 ], [ 6, 47, 48, 138, 208, 218, 220, 228, 231, 264 ], [ 7, 49, 85, 139, 209, 217, 219, 221, 229, 232 ], [ 50, 51, 86, 140, 182, 216, 220, 230, 233, 256 ], [ 46, 50, 51, 141, 190, 192, 211, 231, 240, 265 ], [ 47, 52, 87, 142, 189, 191, 193, 212, 232, 266 ], [ 15, 53, 85, 143, 192, 194, 224, 233, 259, 264 ], [ 3, 24, 54, 144, 191, 199, 227, 234, 237, 266 ], [ 4, 55, 73, 145, 192, 198, 226, 235, 238, 265 ], [ 42, 56, 74, 146, 193, 197, 225, 227, 236, 239 ], [ 27, 37, 57, 147, 196, 209, 234, 237, 240, 246 ], [ 38, 58, 75, 148, 195, 208, 235, 238, 241, 245 ], [ 3, 59, 82, 149, 180, 196, 236, 239, 267, 269 ], [ 40, 60, 72, 150, 181, 185, 214, 237, 240, 268 ], [ 36, 41, 61, 151, 200, 213, 238, 241, 249, 260 ], [ 15, 19, 62, 152, 186, 193, 235, 242, 245, 268 ], [ 16, 63, 68, 153, 187, 192, 234, 236, 243, 246 ], [ 64, 65, 69, 154, 188, 191, 231, 235, 244, 247 ], [ 18, 64, 65, 155, 201, 203, 226, 245, 248, 253 ], [ 19, 66, 89, 156, 200, 202, 204, 227, 246, 249 ], [ 28, 67, 68, 157, 181, 203, 239, 247, 265, 268 ], [ 63, 67, 68, 158, 182, 183, 222, 229, 248, 269 ], [ 30, 64, 69, 159, 184, 208, 230, 249, 254, 255 ], [ 12, 41, 70, 160, 187, 205, 209, 250, 253, 257 ], [ 13, 71, 84, 161, 186, 206, 208, 251, 254, 256 ], [ 9, 60, 72, 162, 182, 207, 209, 252, 261, 269 ], [ 44, 55, 73, 163, 185, 194, 229, 250, 253, 255 ], [ 11, 56, 74, 164, 183, 228, 251, 254, 260, 266 ], [ 8, 58, 75, 165, 198, 216, 233, 247, 253, 255 ], [ 31, 35, 76, 166, 184, 198, 217, 256, 259, 262 ], [ 32, 77, 81, 167, 183, 199, 216, 218, 257, 260 ], [ 6, 78, 79, 168, 185, 217, 248, 252, 255, 258 ], [ 34, 78, 79, 169, 188, 189, 237, 243, 259, 261 ], [ 35, 45, 80, 170, 186, 190, 244, 260, 263, 264 ], [ 5, 77, 81, 171, 205, 225, 239, 241, 246, 261 ], [ 26, 59, 82, 172, 181, 194, 222, 243, 262, 264 ], [ 22, 27, 83, 173, 189, 223, 242, 249, 263, 266 ], [ 0, 71, 84, 174, 191, 211, 247, 258, 262, 264 ], [ 49, 53, 85, 175, 180, 200, 214, 250, 265, 267 ], [ 17, 50, 86, 176, 195, 201, 215, 241, 266, 268 ], [ 14, 52, 87, 177, 197, 219, 252, 254, 257, 267 ], [ 2, 43, 88, 178, 202, 226, 233, 240, 258, 268 ], [ 1, 66, 89, 179, 210, 224, 232, 234, 263, 269 ], [ 0, 113, 144, 270, 271, 291, 329, 338, 349 ], [ 1, 176, 177, 271, 273, 297, 299, 343, 357 ], [ 2, 115, 127, 272, 274, 275, 342, 349, 355 ], [ 3, 111, 129, 273, 287, 307, 322, 336, 344 ], [ 4, 130, 160, 272, 274, 308, 321, 323, 335 ], [ 5, 159, 179, 275, 277, 279, 311, 352, 359 ], [ 6, 157, 179, 270, 276, 316, 328, 330, 337 ], [ 7, 118, 120, 277, 283, 300, 317, 327, 331 ], [ 8, 102, 129, 278, 280, 284, 314, 338, 355 ], [ 9, 94, 144, 279, 282, 300, 336, 347, 353 ], [ 10, 132, 145, 278, 280, 283, 335, 337, 346 ], [ 11, 100, 127, 276, 281, 305, 320, 324, 354 ], [ 12, 128, 147, 279, 282, 304, 319, 325, 351 ], [ 13, 148, 172, 280, 283, 303, 305, 318, 326 ], [ 14, 170, 171, 284, 286, 290, 326, 330, 351 ], [ 15, 168, 171, 272, 285, 288, 341, 343, 348 ], [ 16, 96, 135, 286, 289, 294, 315, 340, 344 ], [ 17, 168, 170, 281, 287, 311, 313, 332, 350 ], [ 18, 95, 135, 275, 288, 310, 312, 314, 333 ], [ 19, 136, 138, 274, 289, 309, 313, 318, 334 ], [ 20, 100, 115, 290, 293, 315, 322, 331, 347 ], [ 21, 116, 147, 270, 291, 294, 321, 346, 348 ], [ 22, 102, 111, 285, 292, 295, 320, 334, 358 ], [ 23, 103, 160, 290, 293, 296, 319, 333, 357 ], [ 24, 150, 161, 291, 294, 297, 318, 320, 332 ], [ 25, 114, 145, 289, 292, 295, 302, 339, 340 ], [ 26, 146, 163, 288, 293, 296, 301, 338, 341 ], [ 27, 164, 178, 287, 289, 294, 297, 300, 342 ], [ 28, 143, 177, 278, 298, 301, 313, 323, 352 ], [ 29, 105, 107, 287, 299, 302, 308, 312, 353 ], [ 30, 143, 176, 292, 300, 303, 326, 328, 356 ], [ 31, 104, 107, 284, 301, 304, 325, 327, 329 ], [ 32, 108, 152, 280, 302, 305, 324, 328, 332 ], [ 33, 104, 105, 285, 294, 296, 303, 345, 346 ], [ 34, 106, 152, 286, 293, 295, 297, 304, 347 ], [ 35, 153, 155, 270, 292, 296, 305, 335, 348 ], [ 36, 94, 113, 298, 305, 306, 309, 334, 345 ], [ 37, 114, 132, 273, 304, 307, 310, 333, 359 ], [ 38, 133, 163, 274, 303, 308, 311, 332, 334 ], [ 39, 116, 128, 302, 306, 309, 312, 317, 350 ], [ 40, 117, 172, 301, 307, 310, 313, 316, 349 ], [ 41, 165, 173, 300, 302, 308, 311, 314, 315 ], [ 42, 131, 161, 277, 286, 309, 312, 322, 352 ], [ 43, 162, 174, 276, 285, 310, 313, 321, 353 ], [ 44, 99, 126, 277, 278, 311, 314, 351, 357 ], [ 45, 157, 159, 297, 306, 315, 318, 339, 341 ], [ 46, 91, 120, 271, 296, 316, 319, 340, 342 ], [ 47, 121, 123, 291, 295, 303, 317, 320, 341 ], [ 48, 91, 118, 298, 308, 310, 318, 321, 354 ], [ 49, 119, 123, 299, 307, 309, 311, 319, 322 ], [ 50, 124, 166, 272, 306, 310, 320, 323, 346 ], [ 51, 119, 121, 280, 282, 301, 321, 330, 355 ], [ 52, 122, 166, 279, 281, 283, 302, 322, 356 ], [ 53, 167, 169, 282, 284, 314, 323, 349, 354 ], [ 54, 103, 130, 281, 289, 317, 324, 327, 356 ], [ 55, 131, 150, 282, 288, 316, 325, 328, 355 ], [ 56, 151, 174, 283, 287, 315, 317, 326, 329 ], [ 57, 133, 146, 286, 299, 324, 327, 330, 336 ], [ 58, 134, 178, 285, 298, 325, 328, 331, 335 ], [ 59, 101, 110, 270, 286, 326, 329, 357, 359 ], [ 60, 149, 173, 271, 275, 304, 327, 330, 358 ], [ 61, 98, 112, 290, 303, 328, 331, 339, 350 ], [ 62, 95, 96, 276, 283, 325, 332, 335, 358 ], [ 63, 97, 138, 277, 282, 324, 326, 333, 336 ], [ 64, 139, 141, 278, 281, 321, 325, 334, 337 ], [ 65, 97, 136, 291, 293, 316, 335, 338, 343 ], [ 66, 137, 141, 290, 292, 294, 317, 336, 339 ], [ 67, 142, 175, 271, 293, 329, 337, 355, 358 ], [ 68, 137, 139, 272, 273, 312, 319, 338, 359 ], [ 69, 140, 175, 274, 298, 320, 339, 344, 345 ], [ 70, 117, 148, 277, 295, 299, 340, 343, 347 ], [ 71, 149, 165, 276, 296, 298, 341, 344, 346 ], [ 72, 93, 112, 272, 297, 299, 342, 351, 359 ], [ 73, 151, 162, 275, 284, 319, 340, 343, 345 ], [ 74, 90, 126, 273, 318, 341, 344, 350, 356 ], [ 75, 92, 110, 288, 306, 323, 337, 343, 345 ], [ 76, 106, 108, 274, 288, 307, 346, 349, 352 ], [ 77, 109, 155, 273, 289, 306, 308, 347, 350 ], [ 78, 156, 158, 275, 307, 338, 342, 345, 348 ], [ 79, 109, 153, 278, 279, 327, 333, 349, 351 ], [ 80, 154, 158, 276, 280, 334, 350, 353, 354 ], [ 81, 154, 156, 295, 315, 329, 331, 336, 351 ], [ 82, 134, 164, 271, 284, 312, 333, 352, 354 ], [ 83, 92, 101, 279, 313, 332, 339, 353, 356 ], [ 84, 93, 98, 281, 301, 337, 348, 352, 354 ], [ 85, 122, 124, 270, 290, 304, 340, 355, 357 ], [ 86, 125, 169, 285, 291, 305, 331, 356, 358 ], [ 87, 125, 167, 287, 309, 342, 344, 347, 357 ], [ 88, 90, 99, 292, 316, 323, 330, 348, 358 ], [ 89, 140, 142, 300, 314, 322, 324, 353, 359 ] ] }, "distance": { "d": 27, "X": { "value": 27, "confidence": "upper_bound", "witness": [ 13, 16, 40, 62, 92, 96, 101, 110, 151, 162, 172, 174, 182, 194, 201, 211, 213, 219, 232, 233, 234, 240, 242, 248, 254, 255, 266 ] }, "Z": { "value": 28, "confidence": "upper_bound", "witness": [ 183, 192, 193, 202, 207, 219, 221, 223, 224, 250, 251, 253, 262, 268, 273, 274, 283, 292, 294, 296, 297, 324, 325, 327, 331, 340, 352, 354 ] } }, "provenance": { "authors": [ "@rajendrarajpurohit" ], "construction": "Coset lifted product (CLP) code, Definition III.1 of arXiv:2610.12782, 1x1 over 2x2 layout, check weight 10. G = SmallGroup(270,25) (GAP SmallGroups id), H = = C3 by generators in the polycyclic generating sequence f1,f2,... of G, m = [G:H] = 90, n = 4m = 360. a over F_2[G] by the left coset action on G/H, B over F_2[N_G(H)] by the right coset action. a = 1 + f3*f5^4 + f2^2*f3*f4^2*f5 + f1*f3^2*f4^2*f5^3 + f1*f2^2*f3^2*f4*f5^3 + f1*f2^2*f3^2*f4^2; B = [[1 + f3^2*f4*f5 + f3*f4^2*f5^4, 1], [1, f3*f4*f5^4 + f3^2*f4^2*f5^4]]. Rebuild with gap/rebuild.g in https://github.com/rajendrarajpurohit/CLP_QLDPC.", "origin": "submission", "date": "2026-11-03", "references": [ "arXiv:2610.12782" ], "novelty": "known_parameters", "notes": "Table II of arXiv:2610.12782 lists this code with the two sided QDistRnd bound d <= 27 at 10^6 rounds; the witness here is from this tool's own search and the entry carries that value. Authors Rajendra Rajpurohit, V. Lalitha, Shayan Srinivasa Garani.", "model": "human" }, "family": "2bga-coset" }