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[[200,8,9]] d =
n
200
k
8
d
9
kd²/n
3.24
w
6
g
0.0506
r
2.8284
layers
2

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Distance

d_X 9 · witness weight 9 (claimed exact)
witness operator (support, 9 qubits)
[3, 4, 44, 65, 66, 86, 88, 114, 124]
d_Z 9 · witness weight 9 (claimed exact)
witness operator (support, 9 qubits)
[48, 66, 68, 76, 84, 140, 160, 161, 182]
certificate exact, d = 9 · scipy/HiGHS cutoff IP
X: no logical < 9 exists; Z: no logical < 9 exists

Verified 2D layout

as measured by the verifier: every check drawn over the submitted coordinates; the interaction radius is the longest dashed pair
r = 2.828
X checkZ checkqubit site (100)2 qubits stacked (2 layers)dashed: the pair setting the interaction radiushover a check to isolate its qubits; click to pin — repeated clicks cycle through overlapping checks; click empty space to release

Construction & provenance

authors Liang, Zijian and Eberhardt, Jens Niklas and Chen, Yu-An
provenance literature baseline
construction Liang-Eberhardt-Chen [[288,8,12]] family, (10,10) lattice.
model classical construction (no AI model)
reference arXiv:2504.08887
date 2025-04-11
notes Reference baseline (Liang, Eberhardt, Chen).
family bivariate bicycle (a tag, not a ranking)
locality 2D-local bilayer (computed from the layout)
weight class weight ≤ 6 (computed)

How this code was found

no research note was staged with this submission — notes are requested for new submissions (notes/README.md)

Parity checks

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