Stabilizer board

General (non-CSS) stabilizer codes, verified and ranked apart from the CSS board. Back to the CSS board.

32.4
best kd²/n at w ≤ 6
82.434
best kd²/n at w ≤ 8
82.434
best kd²/n at w ≤ 12
0.36
[[8,2,3]] · r=2.2361 · ρ=1
best geometric efficiency
1663.22
best kd²/n at any weight
196codes on the board
193submitted
3literature baselines

A general stabilizer code has one binary symplectic check matrix S = (A | B): generator i acts as X on Ai and Z on Bi, Y where both. A CSS code is the special case where every row is pure X or pure Z; here every code has at least one mixed generator, and stays mixed under every single-qubit Clifford (a code that is CSS up to a Hadamard or an S on some qubits is rejected in favor of its CSS image, which belongs on the CSS board). These codes are ranked on their own board because the quantities the CSS board reads per side have no side here:

CSS boardthis board
checksH_X, H_ZS = (A | B), isotropic: A Bᵀ + B Aᵀ = 0
kn − rank H_X − rank H_Zn − rank S
distanced = min(d_X, d_Z), one witness per sideone d: the minimum Pauli weight of a nontrivial logical operator (Y counts once); one Pauli-operator witness
check weight wrow weight|Ai ∪ Bi|
kd²/n, g, tracksunchanged; the primary-track cells are computed the same way, but carry the code type, so a record here is never a record there
certificateMILP per sidenot built yet: every entry stands as d ≤
circuit tiermemory circuits per basisnot accepted yet: syndrome extraction needs a general stabilizer-measurement schedule

Symplectic doubling maps any [[n, k, d]] stabilizer code to a CSS code [[2n, 2k, d′]] with d ≤ d′ ≤ 2d, so the two boards are linked; halving that map is how the highest-rate entries here were built. See the schema, tracks, and how to submit a stabilizer code (bring S, or A and B, as an .npz).

Leaderboard

10 contributors · 193 codes submitted through the challenge6 of 10 contributors have a verified layout and d ≥ 3 (their own code, or a layout they contributed)165 of 193 codes submitted through the challenge currently sit on a track frontier

weight ≤8
best kd²/n
1663.22
[[662,122,95]] · d≤95 · w=32 · @vprusso
best g
0.36
[[8,2,3]] · d≤3 · r=2.2361 · ρ=1 · @MicheldeMessieres
most codes on a frontier
80
80 of 102 codes · @FarLab

Participate

Run it yourself, or point a coding agent at it.

git clone https://github.com/unitaryfoundation/qldpc-challenge
cd qldpc-challenge
# bring your symplectic matrix S = (A | B) as mycode.npz (key s, or a and b)
./qldpc submit mycode.npz --authors @you

It finds the distance witness, runs the verifier, and opens the PR for you.

Have an LLM or coding agent? Paste the research prompt and it runs the whole loop. Full guide

Primary tracks

Computed grid of locality × check weight, derived from H and the layout, not self-declared. Each cell lists its Pareto frontier, ranked by the selected score (kd²/n, or geometric efficiency g for codes with a verified layout); codes tied on the score rank by the lowest (n, k) pair. The code count filters the table below to that cell. Membership nests: a tighter cell’s codes also compete in the looser ones. In the g view, the seeded surface/toric tilings are not raced; they set the ceiling g is normalized to (surface code = 1) and appear dimmed below the ranking.

Codes · 196 total, 167 records

weight4–8distance3–95n5–761k1–190

Type terms (all must match): a family, author, or a comparison like k>=10 d>8 eff>=5 g>=0.1 swaps<=50; ler<=0.005; record keeps only frontier rows and ler-record only the (n, k, LER) frontier; literature / submitted filter by origin; with-layout / no-layout filter by layout status; exact / upper-bound filter by whether the distance is proved; with-circuit (alias circuit) / no-circuit filter by whether the entry ships verified memory circuits; modular keeps the entries whose layout assigns every qubit to a module.

0200400600020406080Code Distance (d)0200400600050010001500kd²/n
Physical Qubits (n)
Certified exactUpper boundFilled = Pareto recordOpen = non-frontier
★ record (shaded rows): Pareto-best on (n, k, d) within at least one computed cell, among the codes listed here. It is a board-relative marker, not a claim against the wider literature; a code the literature beats may still be seeded. certified exact (d =) upper bound (d ≤): a verified logical of that weight; independent refutation searches found nothing lighter, but it is not a proof submitted through the challenge (not a novelty claim; unmarked = literature baseline)known params parameter set exists in the literature; see provenance notesLER record Pareto-best on (n, k, measured logical error rate) among the codes verified at the same physical rate; independent of the (n, k, d, w) record starcolumns: n physical qubits · k logical qubits · d distance (smallest undetectable error; the Pauli weight of the lightest logical operator, a Y factor counting one qubit) · kd²/n operational efficiency (per track) · g geometric efficiency 4kd²/(nρ²r⁴), priced by the layout’s radius r and layers ρ (surface code = 1; 2√2kd/(nρr³) for a 3D layout; · = no verified layout) · w max check weight (qubits a generator acts on, X, Z or Y) · swaps (optional) heuristic routing cost: nearest-neighbor SWAPs per round to connect every check on the verified layout, an MST lower bound with one lattice step = the minimum qubit spacing; a diagnostic, never a rank
codetypenkdkd²/ngwswapsgirthdiamauthorsmodeldate
★[[662,122,95]]other662122d ≤ 951663.218·32·4·@vprussoGPT-62026-10-11
★[[452,115,18]]pair-partition CPM452115d ≤ 1882.434·8·4·@MicheldeMessieresClaudeClaude Opus 5.5 (Claude Code)2026-10-09
★[[200,43,19]]other20043d ≤ 1977.615·10·4·@vprussoClaudeClaude Fable 5.12026-10-13
★[[220,47,18]]other22047d ≤ 1869.218·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[240,51,18]]other24051d ≤ 1868.85·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[185,40,17]]other18540d ≤ 1762.486·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[512,54,24]]other51254d ≤ 2460.75·32·4·@MathysRennelaMiMo-V2.6-Flash2026-10-13
★[[186,65,13]]other18665d ≤ 1359.059·12·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[160,35,16]]other16035d ≤ 1656.0·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[170,37,16]]other17037d ≤ 1655.718·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[180,39,16]]other18039d ≤ 1655.467·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[168,59,12]]other16859d ≤ 1250.571·12·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[140,31,14]]other14031d ≤ 1443.4·10·4·@vprussoClaudeClaude Fable 5.12026-10-13
★[[150,33,14]]other15033d ≤ 1443.12·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[150,53,11]]other15053d ≤ 1142.753·12·4·@vprussoClaudeClaude Fable 5.12026-10-15
[[576,42,24]]other57642d ≤ 2442.0·32·4·@MathysRennelaMiMo-V2.6-Flash2026-10-13
★[[130,29,13]]other13029d ≤ 1337.7·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[672,28,30]]other67228d ≤ 3037.5·24·4·@MathysRennelaMiMo-V2.6-Flash2026-10-13
★[[120,43,10]]other12043d ≤ 1035.833·12·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[66,12,14]]other2D-local bilayer6612d ≤ 1435.6360.0527321846.08@MathysRennelaMiMo v2.6 Flash2026-09-28
★[[132,47,10]]other13247d ≤ 1035.606·12·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[210,86,9]]other21086d ≤ 933.171·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[110,25,12]]other11025d ≤ 1232.727·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[120,27,12]]other12027d ≤ 1232.4·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[480,12,36]]2BGA coset48012d ≤ 3632.4·6·4·@jacksongqueraClaudeClaude Opus 5.5 (Claude Code)2026-10-21
★[[62,20,10]]other2D-local bilayer6220d ≤ 1032.2580.023632847.28@MathysRennelaMiMo v2.6 Flash2026-09-28
★[[95,22,11]]other9522d ≤ 1128.021·10·4·@vprussoClaudeClaude Fable 5.12026-10-13
★[[100,23,11]]other10023d ≤ 1127.83·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[80,33,8]]other8033d ≤ 826.4·16·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[170,70,8]]other17070d ≤ 826.353·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[148,39,10]]other14839d ≤ 1026.351·8·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[190,78,8]]other19078d ≤ 826.274·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[160,42,10]]other16042d ≤ 1026.25·8·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[230,94,8]]other23094d ≤ 826.157·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[235,96,8]]pair-partition CPM23596d ≤ 826.145·10·4·@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[64,24,8]]other6424d ≤ 824.0·14·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[90,21,10]]other9021d ≤ 1023.333·10·4·@vprussoClaudeClaude Fable 5.12026-10-13
★[[336,10,28]]2BGA coset33610d ≤ 2823.333·6·4·@MicheldeMessieresClaudeClaude Opus 5.5 (Claude Code)2026-10-11
★[[73,46,6]]other7346d ≤ 622.685·28·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[73,44,6]]other7344d ≤ 621.699·24·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[120,32,9]]other12032d ≤ 921.6·8·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[329,190,6]]pair-partition CPM329190d ≤ 620.79·14·4·@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[155,6,23]]other2D-local bilayer1556d ≤ 2320.4770.00858981410.3@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[150,62,7]]other15062d ≤ 720.253·10·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[56,16,8]]other5616d ≤ 818.286·16·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[282,143,6]]pair-partition CPM282143d ≤ 618.255·12·4·@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[144,10,16]]known paramsother14410d ≤ 1617.778·8·4·@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[92,25,8]]known paramspair-partition CPM2D-local bilayer9225d ≤ 817.3910.0086845545.66@mrvee-qC-beeGPT-6 Astra2026-10-01
[[155,6,21]]other2D-local bilayer1556d ≤ 2117.0710.0084883349.49@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[93,32,7]]other9332d ≤ 716.86·13·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[96,10,12]]known paramsother2D-local bilayer9610d ≤ 1215.00.0094856947.81@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[48,11,8]]other4811d ≤ 814.667·14·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[355,144,6]]pair-partition CPM355144d ≤ 614.603·10·4·@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[52,15,7]]known paramspair-partition CPM2D-local bilayer5215d ≤ 714.1350.0109814245.39@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[88,24,7]]other8824d ≤ 713.364·8·4·@vprussoClaudeClaude Fable 5.12026-10-15
★[[360,12,20]]bivariate bicycle36012d ≤ 2013.333·8·4·@cbjuanClaudeClaude Opus 4.6 +22026-10-07
★[[93,6,14]]other2D-local bilayer936d ≤ 1412.6450.0092845447.28@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[144,12,12]]bivariate bicycle14412d ≤ 1212.0·8·4·@cbjuanClaudeClaude Opus 4.6 +22026-10-07
★[[48,29,4]]other4829d ≤ 49.667·14·4·@hirobumiiGPT-6 Astra +12026-10-18
★[[188,49,6]]pair-partition CPM18849d ≤ 69.383·8·4·@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[75,7,10]]other2D-local bilayer757d ≤ 109.3330.0072830245.66@FarLabClaudeClaude Fable 5.12026-09-30
[[187,27,8]]other18727d ≤ 89.241·8·4·@FarLabClaudeClaude Fable 5.12026-09-30
[[99,17,7]]other2D-local bilayer9917d ≤ 78.4140.0135823844.12@FarLabClaudeClaude Fable 5.12026-09-30
★[[40,9,6]]other2D-local bilayer409d ≤ 68.10.02888245@FarLabClaudeClaude Fable 5.12026-09-30
[[117,19,7]]other2D-local bilayer11719d ≤ 77.9570.0118832444.47@FarLabClaudeClaude Fable 5.12026-09-30
★[[145,32,6]]pair-partition CPM2D-local bilayer14532d ≤ 67.9450.00471051045.1@MathysRennelaMimo-V2.6-Flash2026-09-28
[[143,23,7]]other2D-local bilayer14323d ≤ 77.8810.0033881544.47@FarLabClaudeClaude Fable 5.12026-09-30
[[169,13,10]]other16913d ≤ 107.692·8·4·@FarLabClaudeClaude Fable 5.12026-09-30
★[[65,5,10]]other2D-local bilayer655d ≤ 107.6920.0114824145.83@FarLabClaudeClaude Fable 5.12026-09-30
★[[50,6,8]]other2D-local bilayer506d ≤ 87.680.026689644.12@FarLabClaudeClaude Fable 5.12026-09-30
★[[85,8,9]]known paramsother2D-local bilayer858d ≤ 97.6240.0113627547.21@mrvee-qC-bee et al.GPT-6 Astra2026-10-01
★[[91,19,6]]other2D-local bilayer9119d ≤ 67.5160.0055845845.1@FarLabClaudeClaude Fable 5.12026-09-30
★[[40,12,5]]other2D-local bilayer4012d ≤ 57.50.0231810143.61@FarLabClaudeClaude Fable 5.12026-09-30
[[63,13,6]]other2D-local bilayer6313d ≤ 67.4290.0054825543.61@FarLabClaudeClaude Fable 5.12026-09-30
★[[66,6,9]]other2D-local bilayer666d ≤ 97.3640.0109826845.83@FarLabClaudeClaude Fable 5.12026-09-30
★[[66,4,11]]other2D-local bilayer664d ≤ 117.3330.0057827746.08@FarLabClaudeClaude Fable 5.12026-09-30
[[105,21,6]]other2D-local bilayer10521d ≤ 67.20.007850248.25@FarLabClaudeClaude Fable 5.12026-09-30
[[171,25,7]]other2D-local bilayer17125d ≤ 77.1640.0106847344.24@FarLabClaudeClaude Fable 5.12026-09-30
★[[48,7,7]]other2D-local bilayer487d ≤ 77.1460.024789243.16@FarLabClaudeClaude Fable 5.12026-09-30
★[[81,9,8]]other2D-local bilayer819d ≤ 87.1110.0105823445.1@FarLabClaudeClaude Fable 5.12026-09-30
★[[45,5,8]]other2D-local bilayer455d ≤ 87.1110.0105814545@FarLabClaudeClaude Fable 5.12026-09-30
★[[36,4,8]]other2D-local bilayer364d ≤ 87.1110.010588245.1@FarLabClaudeClaude Fable 5.12026-09-30
[[91,13,7]]other2D-local bilayer9113d ≤ 77.00.0242812942.24@FarLabClaudeClaude Fable 5.12026-09-30
[[77,11,7]]other2D-local bilayer7711d ≤ 77.00.0175818642.83@FarLabClaudeClaude Fable 5.12026-09-30
[[63,9,7]]other2D-local bilayer639d ≤ 77.00.0112817845@FarLabClaudeClaude Fable 5.12026-09-30
[[56,8,7]]other2D-local bilayer568d ≤ 77.00.0083820646.08@FarLabClaudeClaude Fable 5.12026-09-30
★[[36,7,6]]other2D-local bilayer367d ≤ 67.00.010488144.12@FarLabClaudeClaude Fable 5.12026-09-30
★[[42,6,7]]other2D-local bilayer426d ≤ 77.00.0083811244.47@FarLabClaudeClaude Fable 5.12026-09-30
★[[35,5,7]]other2D-local bilayer355d ≤ 77.00.010487944.47@FarLabClaudeClaude Fable 5.12026-09-30
[[119,23,6]]other2D-local bilayer11923d ≤ 66.9580.0029868245.39@FarLabClaudeClaude Fable 5.12026-09-30
★[[56,24,4]]other5624d ≤ 46.857·8·4·@hirobumiiGPT-6 Astra2026-10-17
[[55,15,5]]other2D-local bilayer5515d ≤ 56.8180.02189542@FarLabClaudeClaude Fable 5.12026-09-30
[[133,25,6]]other2D-local bilayer13325d ≤ 66.7670.0042869945.83@FarLabClaudeClaude Fable 5.12026-09-30
★[[87,3,14]]other2D-local bilayer873d ≤ 146.7590.0049847547.28@FarLabClaudeClaude Fable 5.12026-09-30
★[[88,36,4]]other8836d ≤ 46.545·8·4·@hirobumiiGPT-6 Astra2026-10-17
★[[65,17,5]]other2D-local bilayer6517d ≤ 56.5380.0097822942.83@FarLabClaudeClaude Fable 5.12026-09-30
[[360,4,24]]bivariate bicycle3604d ≤ 246.4·8·4·@cbjuanClaudeClaude Opus 4.6 +22026-10-07
★[[32,4,7]]other2D-local bilayer324d ≤ 76.1250.036286443.61@FarLabClaudeClaude Fable 5.12026-09-30
★[[36,6,6]]known paramsother366d ≤ 66.0·6·4·@MathysRennelaSpace Bunny Alpha 1.02026-10-15
★[[36,6,6]]other2D-local bilayer366d ≤ 66.00.023467642.24@FarLabClaudeClaude Fable 5.12026-09-30
[[105,25,5]]other2D-local bilayer10525d ≤ 55.9520.0071838142.24@FarLabClaudeClaude Fable 5.12026-09-30
★[[51,3,10]]other2D-local bilayer513d ≤ 105.8820.0087815846.08@FarLabClaudeClaude Fable 5.12026-09-30
★[[30,7,5]]other2D-local bilayer307d ≤ 55.8330.020284242.83@FarLabClaudeClaude Fable 5.12026-09-30
[[143,13,8]]other2D-local bilayer14313d ≤ 85.8180.0045863247@FarLabClaudeClaude Fable 5.12026-09-30
[[121,11,8]]other2D-local bilayer12111d ≤ 85.8180.0042855046.08@FarLabClaudeClaude Fable 5.12026-09-30
★[[33,3,8]]other2D-local bilayer333d ≤ 85.8180.009386044.12@FarLabClaudeClaude Fable 5.12026-09-30
★[[27,3,7]]other2D-local bilayer273d ≤ 75.4440.004286046.08@FarLabClaudeClaude Fable 5.12026-09-30
★[[12,4,4]]other2D-local single124d ≤ 45.3330.2138043.61@MathysRennelaMiMo v2.6 Flash2026-09-28
★[[95,5,10]]other2D-local bilayer955d ≤ 105.2630.0078638446.4@FarLabClaudeClaude Fable 5.12026-09-30
★[[38,2,10]]other2D-local bilayer382d ≤ 105.2630.018289344.47@FarLabClaudeClaude Fable 5.12026-09-30
★[[46,2,11]]other2D-local bilayer462d ≤ 115.2610.0078814145.83@FarLabClaudeClaude Fable 5.12026-09-30
★[[189,27,6]]other2D-local bilayer18927d ≤ 65.1430.0082652943.61@FarLabClaudeClaude Fable 5.12026-10-01
★[[161,23,6]]other2D-local bilayer16123d ≤ 65.1430.0178624742.83@FarLabClaudeClaude Fable 5.12026-10-01
★[[147,21,6]]other2D-local bilayer14721d ≤ 65.1430.0178623543.61@FarLabClaudeClaude Fable 5.12026-10-01
★[[133,19,6]]other2D-local bilayer13319d ≤ 65.1430.0304619942.83@FarLabClaudeClaude Fable 5.12026-10-01
★[[119,17,6]]other2D-local bilayer11917d ≤ 65.1430.0304610942.24@FarLabClaudeClaude Fable 5.12026-10-01
★[[91,13,6]]other2D-local bilayer9113d ≤ 65.1430.0304614043.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[77,11,6]]other2D-local bilayer7711d ≤ 65.1430.051467443.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[63,9,6]]other2D-local bilayer639d ≤ 65.1430.051465843.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[49,7,6]]other2D-local bilayer497d ≤ 65.1430.020167643.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[35,5,6]]other2D-local bilayer355d ≤ 65.1430.030465343.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[28,4,6]]other2D-local bilayer284d ≤ 65.1430.00485245.1@FarLabClaudeClaude Fable 5.12026-10-01
★[[21,3,6]]other2D-local bilayer213d ≤ 65.1430.030482043.61@FarLabClaudeClaude Fable 5.12026-10-01
★[[25,5,5]]other2D-local bilayer255d ≤ 55.00.007482843.16@davidpluGPT-62026-09-30
★[[20,4,5]]other2D-local bilayer204d ≤ 55.00.017381543.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[169,13,8]]other2D-local bilayer16913d ≤ 84.9230.0079646843.61@FarLabClaudeClaude Fable 5.12026-10-01
[[91,7,8]]other2D-local bilayer917d ≤ 84.9230.017621144.12@FarLabClaudeClaude Fable 5.12026-10-01
★[[65,5,8]]other2D-local bilayer655d ≤ 84.9230.0123622444.47@FarLabClaudeClaude Fable 5.12026-10-01
★[[39,3,8]]other2D-local bilayer393d ≤ 84.9230.017610344.12@FarLabClaudeClaude Fable 5.12026-10-01
★[[26,2,8]]other2D-local bilayer262d ≤ 84.9230.003883345.1@FarLabClaudeClaude Fable 5.12026-10-01
★[[123,3,14]]other2D-local bilayer1233d ≤ 144.780.0071642248.25@FarLabClaudeClaude Fable 5.12026-09-30
★[[82,2,14]]other2D-local bilayer822d ≤ 144.780.012626946.4@FarLabClaudeClaude Fable 5.12026-10-01
★[[34,2,9]]other2D-local bilayer342d ≤ 94.7650.007687345.1@FarLabClaudeClaude Fable 5.12026-10-01
★[[93,3,12]]other2D-local bilayer933d ≤ 124.6450.0074629845@FarLabClaudeClaude Fable 5.12026-10-01
★[[62,2,12]]other2D-local bilayer622d ≤ 124.6450.0069620946.71@FarLabClaudeClaude Fable 5.12026-10-01
★[[74,2,13]]other2D-local bilayer742d ≤ 134.5680.0068630146.71@FarLabClaudeClaude Fable 5.12026-10-01
★[[142,2,18]]other2D-local bilayer1422d ≤ 184.5630.0054655848.06@FarLabClaudeClaude Fable 5.12026-09-30
★[[188,95,3]]pair-partition CPM2D-local bilayer18895d ≤ 34.5480.0019861743.61@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[188,95,3]]pair-partition CPM2D-local bilayer18895d ≤ 34.5480.0019851241.41@MathysRennelaSpace Bunny Alpha 1.02026-10-01
★[[178,2,20]]other2D-local bilayer1782d ≤ 204.4940.00336913411.4@FarLabClaudeClaude Fable 5.12026-10-01
★[[69,3,10]]other2D-local bilayer693d ≤ 104.3480.007624145@FarLabClaudeClaude Fable 5.12026-10-01
★[[46,2,10]]other2D-local bilayer462d ≤ 104.3480.015612845@FarLabClaudeClaude Fable 5.12026-10-01
★[[177,3,16]]other2D-local bilayer1773d ≤ 164.3390.0032680247.81@FarLabClaudeClaude Fable 5.12026-09-30
★[[134,2,17]]other2D-local bilayer1342d ≤ 174.3130.0064649548.54@FarLabClaudeClaude Fable 5.12026-10-01
★[[57,3,9]]other2D-local bilayer573d ≤ 94.2630.0148613945.83@FarLabClaudeClaude Fable 5.12026-10-01
★[[58,2,11]]other2D-local bilayer582d ≤ 114.1720.0129615645.39@FarLabClaudeClaude Fable 5.12026-10-01
[[94,2,14]]other2D-local bilayer942d ≤ 144.170.0062637545.66@FarLabClaudeClaude Fable 5.12026-09-30
★[[18,3,5]]other2D-local bilayer183d ≤ 54.1670.06518742.24@FarLabClaudeClaude Fable 5.12026-10-01
★[[11,5,3]]other2D-local single115d ≤ 34.0910.2028042.24@MathysRennelaMiMo v2.6 Flash2026-09-28
★[[256,16,8]]known paramstopological25616d ≤ 84.00.0015676847.07Chamon, ClaudioClaudeClaude Fable 5.12005
[[108,12,6]]known paramstopological10812d ≤ 64.00.0053621645.1Chamon, ClaudioClaudeClaude Fable 5.12005
★[[16,4,4]]other164d ≤ 44.0·5·4·@MicheldeMessieresClaudeClaude Opus 5.5 (Claude Code)2026-10-12
★[[155,5,11]]other2D-local bilayer1555d ≤ 113.9030.0029664044.47@FarLabClaudeClaude Fable 5.12026-10-01
[[111,3,12]]other2D-local bilayer1113d ≤ 123.8920.0097629743.16@FarLabClaudeClaude Fable 5.12026-10-01
★[[33,2,8]]other2D-local bilayer332d ≤ 83.8790.015273844.47@FarLabClaudeClaude Fable 5.12026-10-01
★[[28,3,6]]other2D-local bilayer283d ≤ 63.8570.005764745.1@FarLabClaudeClaude Fable 5.12026-10-01
★[[20,3,5]]other2D-local single203d ≤ 53.750.058666542.83@FarLabClaudeClaude Fable 5.12026-10-01
★[[44,2,9]]other442d ≤ 93.682·6·4·@davidpluGPT-62026-10-03
★[[20,2,6]]other2D-local single202d ≤ 63.60.056366544.24@FarLabClaudeClaude Fable 5.12026-10-01
★[[8,3,3]]other2D-local single83d ≤ 33.3750.1356141.41@MathysRennelaMiMo v2.6 Flash2026-09-28
★[[38,2,8]]other2D-local bilayer382d ≤ 83.3680.033765844.24@FarLabClaudeClaude Fable 5.12026-10-01
★[[75,10,5]]other2D-local bilayer7510d ≤ 53.3330.0049728747.21@FarLabClaudeClaude Fable 5.12026-10-01
★[[10,2,4]]other2D-local single102d ≤ 43.20.1286444@MathysRennelaMiMo v2.6 Flash2026-09-28
★[[53,1,13]]other2D-local bilayer531d ≤ 133.1890.0047818346.32@FarLabClaudeClaude Fable 5.12026-10-01
★[[16,2,5]]other162d ≤ 53.125·6·4·@hirobumiiGPT-6 Astra2026-10-17
★[[173,1,23]]other2D-local bilayer1731d ≤ 233.0580.00196862410.8@FarLabClaudeClaude Fable 5.12026-10-01
★[[151,1,21]]other2D-local bilayer1511d ≤ 212.9210.00186749410.4@FarLabClaudeClaude Fable 5.12026-10-01
★[[34,2,7]]other2D-local bilayer342d ≤ 72.8820.004666744.12@FarLabClaudeClaude Fable 5.12026-10-01
★[[17,1,7]]known paramsother2D-local bilayer171d ≤ 72.8820.04581242.83@FarLabClaudeClaude Fable 5.12026-09-30
★[[127,1,19]]other2D-local bilayer1271d ≤ 192.8430.0034652547.21@FarLabClaudeClaude Fable 5.12026-10-01
★[[29,1,9]]other2D-local bilayer291d ≤ 92.7930.009785143.61@davidpluGPT-62026-09-30
[[27,3,5]]other2D-local bilayer273d ≤ 52.7780.004464744@davidpluGPT-62026-09-30
★[[18,2,5]]other2D-local single182d ≤ 52.7780.043454743.61@FarLabClaudeClaude Fable 5.12026-10-01
★[[27,2,6]]other2D-local bilayer272d ≤ 62.6670.004355344.12@FarLabClaudeClaude Fable 5.12026-10-01
★[[31,1,9]]other2D-local bilayer311d ≤ 92.6130.026165644.24@FarLabClaudeClaude Fable 5.12026-10-01
★[[47,1,11]]other471d ≤ 112.574·6·4·@davidpluGPT-62026-10-03
★[[113,1,17]]other2D-local bilayer1131d ≤ 172.5580.0038645848.94@FarLabClaudeClaude Fable 5.12026-10-01
★[[89,1,15]]other2D-local bilayer891d ≤ 152.5280.0037630048.94@FarLabClaudeClaude Fable 5.12026-10-01
★[[39,2,7]]other2D-local bilayer392d ≤ 72.5130.025157042.83@FarLabClaudeClaude Fable 5.12026-10-01
★[[21,1,7]]other2D-local bilayer211d ≤ 72.3330.023362443@FarLabClaudeClaude Fable 5.12026-10-01
★[[12,3,3]]other123d ≤ 32.25·4·4·@MicheldeMessieresClaudeClaude Opus 5.5 (Claude Code)2026-10-13
★[[8,2,3]]known paramsother2D-local single82d ≤ 32.250.364341.41Cross et al.ClaudeClaude Opus 5.5 (Claude Code)2026-10-09
[[23,1,7]]other2D-local bilayer231d ≤ 72.130.021363243.61@davidpluGPT-62026-09-30
[[137,1,17]]other2D-local bilayer1371d ≤ 172.1090.0025658147.21@FarLabClaudeClaude Fable 5.12026-10-01
★[[18,1,6]]other2D-local single181d ≤ 62.00.031264544@FarLabClaudeClaude Fable 5.12026-10-01
★[[761,1,39]]known paramstopological7611d ≤ 391.999·4·4·@mrvee-qC-beeGPT-6 Astra2026-10-01
★[[25,1,7]]other2D-local single251d ≤ 71.960.096845544.24@FarLabClaudeClaude Fable 5.12026-10-01
★[[14,3,3]]topological2D-local single143d ≤ 31.9290.030141842.24@MathysRennelaMimo-V2.6-Flash2026-09-27
★[[13,1,5]]topological2D-local single131d ≤ 51.9230.076941743.61@MathysRennelaMimo-V2.6-Flash2026-09-27
★[[216,4,10]]bivariate bicycle2164d ≤ 101.852·5·4·@cbjuanClaudeClaude Opus 5 +12026-10-07
★[[25,5,3]]other2D-local bilayer255d ≤ 31.80.006264641.41@davidpluGPT-62026-09-30
★[[5,1,3]]other2D-local single51d ≤ 31.80.02814242@MathysRennelaMimo-V2.6-Flash2026-09-27
★[[144,4,8]]bivariate bicycle1444d ≤ 81.778·5·4·@cbjuanClaudeClaude Opus 5 +12026-10-07
★[[360,4,12]]bivariate bicycle3604d ≤ 121.6·5·4·@cbjuanClaudeClaude Opus 5 +12026-10-07
★[[180,2,11]]bivariate bicycle1802d ≤ 111.344·5·4·@cbjuanClaudeClaude Opus 5 +12026-10-07
[[48,4,4]]bivariate bicycle484d ≤ 41.333·5·4·@cbjuanClaudeClaude Opus 5 +12026-10-07

Recently added · last 10 by submission date

  1. [[480,12,36]]★2BGA coset@jacksongquerasubmission2026-10-21
  2. [[93,32,7]]★other@hirobumiisubmission2026-10-18
  3. [[80,33,8]]★other@hirobumiisubmission2026-10-18
  4. [[73,46,6]]★other@hirobumiisubmission2026-10-18
  5. [[73,44,6]]★other@hirobumiisubmission2026-10-18
  6. [[64,24,8]]★other@hirobumiisubmission2026-10-18
  7. [[56,16,8]]★other@hirobumiisubmission2026-10-18
  8. [[48,29,4]]★other@hirobumiisubmission2026-10-18
  9. [[48,11,8]]★other@hirobumiisubmission2026-10-18
  10. [[88,36,4]]★other@hirobumiisubmission2026-10-17