Information on Result #657090
Linear OA(810, 24, F8, 7) (dual of [24, 14, 8]-code), using algebraic-geometric code AG(F,8P) with degPÂ =Â 2 based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(876, 32792, F8, 15) (dual of [32792, 32716, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8102, 2097176, F8, 15) (dual of [2097176, 2097074, 16]-code) | [i] | ||
| 3 | Linear OA(871, 32792, F8, 14) (dual of [32792, 32721, 15]-code) | [i] | ||
| 4 | Linear OA(895, 2097176, F8, 14) (dual of [2097176, 2097081, 15]-code) | [i] | ||
| 5 | Linear OA(813, 27, F8, 9) (dual of [27, 14, 10]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 6 | Linear OA(811, 27, F8, 7) (dual of [27, 16, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(817, 31, F8, 11) (dual of [31, 14, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(8149, 537, F8, 53) (dual of [537, 388, 54]-code) | [i] | Construction X with Cyclic Codes | |
| 9 | Linear OA(8143, 537, F8, 51) (dual of [537, 394, 52]-code) | [i] | ||
| 10 | Linear OA(8137, 537, F8, 49) (dual of [537, 400, 50]-code) | [i] | ||
| 11 | Linear OA(8107, 537, F8, 37) (dual of [537, 430, 38]-code) | [i] | ||
| 12 | Linear OA(8101, 537, F8, 35) (dual of [537, 436, 36]-code) | [i] | ||
| 13 | Linear OA(895, 537, F8, 33) (dual of [537, 442, 34]-code) | [i] | ||
| 14 | Linear OA(865, 537, F8, 21) (dual of [537, 472, 22]-code) | [i] | ||
| 15 | Linear OA(859, 537, F8, 19) (dual of [537, 478, 20]-code) | [i] | ||
| 16 | Linear OA(853, 537, F8, 17) (dual of [537, 484, 18]-code) | [i] | ||
| 17 | Linear OA(860, 542, F8, 19) (dual of [542, 482, 20]-code) | [i] | Construction XX with Cyclic Codes | |
| 18 | Linear OA(863, 542, F8, 20) (dual of [542, 479, 21]-code) | [i] | ||
| 19 | Linear OA(866, 542, F8, 21) (dual of [542, 476, 22]-code) | [i] | ||
| 20 | Linear OA(871, 547, F8, 22) (dual of [547, 476, 23]-code) | [i] | ||
| 21 | Linear OA(869, 542, F8, 22) (dual of [542, 473, 23]-code) | [i] | ||
| 22 | Linear OA(875, 551, F8, 23) (dual of [551, 476, 24]-code) | [i] | ||
| 23 | Linear OA(878, 551, F8, 24) (dual of [551, 473, 25]-code) | [i] | ||
| 24 | Linear OA(877, 548, F8, 24) (dual of [548, 471, 25]-code) | [i] | ||
| 25 | Linear OA(878, 548, F8, 25) (dual of [548, 470, 26]-code) | [i] | ||
| 26 | Linear OA(887, 557, F8, 27) (dual of [557, 470, 28]-code) | [i] | ||
| 27 | Linear OA(881, 542, F8, 27) (dual of [542, 461, 28]-code) | [i] | ||
| 28 | Linear OA(886, 547, F8, 28) (dual of [547, 461, 29]-code) | [i] | ||
| 29 | Linear OA(884, 542, F8, 28) (dual of [542, 458, 29]-code) | [i] | ||
| 30 | Linear OA(890, 551, F8, 29) (dual of [551, 461, 30]-code) | [i] | ||
| 31 | Linear OA(889, 547, F8, 29) (dual of [547, 458, 30]-code) | [i] | ||
| 32 | Linear OA(887, 542, F8, 29) (dual of [542, 455, 30]-code) | [i] | ||
| 33 | Linear OA(893, 551, F8, 30) (dual of [551, 458, 31]-code) | [i] | ||
| 34 | Linear OA(892, 547, F8, 30) (dual of [547, 455, 31]-code) | [i] | ||
| 35 | Linear OA(890, 542, F8, 30) (dual of [542, 452, 31]-code) | [i] | ||
| 36 | Linear OA(899, 560, F8, 31) (dual of [560, 461, 32]-code) | [i] | ||
| 37 | Linear OA(896, 551, F8, 31) (dual of [551, 455, 32]-code) | [i] | ||
| 38 | Linear OA(8102, 557, F8, 33) (dual of [557, 455, 34]-code) | [i] | ||
| 39 | Linear OA(899, 548, F8, 33) (dual of [548, 449, 34]-code) | [i] | ||
| 40 | Linear OA(8105, 557, F8, 34) (dual of [557, 452, 35]-code) | [i] | ||
| 41 | Linear OA(8108, 557, F8, 35) (dual of [557, 449, 36]-code) | [i] | ||
| 42 | Linear OA(8102, 542, F8, 35) (dual of [542, 440, 36]-code) | [i] | ||
| 43 | Linear OA(8107, 547, F8, 36) (dual of [547, 440, 37]-code) | [i] | ||
| 44 | Linear OA(8105, 542, F8, 36) (dual of [542, 437, 37]-code) | [i] | ||
| 45 | Linear OA(8111, 551, F8, 37) (dual of [551, 440, 38]-code) | [i] | ||
| 46 | Linear OA(8110, 547, F8, 37) (dual of [547, 437, 38]-code) | [i] | ||
| 47 | Linear OA(8108, 542, F8, 37) (dual of [542, 434, 38]-code) | [i] | ||
| 48 | Linear OA(8114, 551, F8, 38) (dual of [551, 437, 39]-code) | [i] | ||
| 49 | Linear OA(8113, 547, F8, 38) (dual of [547, 434, 39]-code) | [i] | ||
| 50 | Linear OA(8111, 542, F8, 38) (dual of [542, 431, 39]-code) | [i] | ||
| 51 | Linear OA(8120, 560, F8, 39) (dual of [560, 440, 40]-code) | [i] | ||
| 52 | Linear OA(8117, 551, F8, 39) (dual of [551, 434, 40]-code) | [i] | ||
| 53 | Linear OA(8123, 560, F8, 40) (dual of [560, 437, 41]-code) | [i] | ||
| 54 | Linear OA(8120, 551, F8, 40) (dual of [551, 431, 41]-code) | [i] | ||
| 55 | Linear OA(8123, 557, F8, 41) (dual of [557, 434, 42]-code) | [i] | ||
| 56 | Linear OA(8120, 548, F8, 41) (dual of [548, 428, 42]-code) | [i] | ||
| 57 | Linear OA(8126, 557, F8, 42) (dual of [557, 431, 43]-code) | [i] | ||
| 58 | Linear OA(8129, 557, F8, 43) (dual of [557, 428, 44]-code) | [i] | ||
| 59 | Linear OA(8123, 542, F8, 43) (dual of [542, 419, 44]-code) | [i] | ||
| 60 | Linear OA(8128, 547, F8, 44) (dual of [547, 419, 45]-code) | [i] | ||
| 61 | Linear OA(8126, 542, F8, 44) (dual of [542, 416, 45]-code) | [i] | ||
| 62 | Linear OA(8132, 551, F8, 45) (dual of [551, 419, 46]-code) | [i] | ||
| 63 | Linear OA(8131, 547, F8, 45) (dual of [547, 416, 46]-code) | [i] | ||
| 64 | Linear OA(8129, 542, F8, 45) (dual of [542, 413, 46]-code) | [i] | ||
| 65 | Linear OA(8135, 551, F8, 46) (dual of [551, 416, 47]-code) | [i] | ||
| 66 | Linear OA(8134, 547, F8, 46) (dual of [547, 413, 47]-code) | [i] | ||
| 67 | Linear OA(8132, 542, F8, 46) (dual of [542, 410, 47]-code) | [i] | ||
| 68 | Linear OA(8141, 560, F8, 47) (dual of [560, 419, 48]-code) | [i] | ||
| 69 | Linear OA(8138, 551, F8, 47) (dual of [551, 413, 48]-code) | [i] | ||
| 70 | Linear OA(8144, 557, F8, 49) (dual of [557, 413, 50]-code) | [i] | ||
| 71 | Linear OA(8141, 548, F8, 49) (dual of [548, 407, 50]-code) | [i] | ||
| 72 | Linear OA(8147, 557, F8, 50) (dual of [557, 410, 51]-code) | [i] | ||
| 73 | Linear OA(8150, 557, F8, 51) (dual of [557, 407, 52]-code) | [i] | ||
| 74 | Linear OA(8144, 542, F8, 51) (dual of [542, 398, 52]-code) | [i] | ||
| 75 | Linear OA(8149, 547, F8, 52) (dual of [547, 398, 53]-code) | [i] | ||
| 76 | Linear OA(8147, 542, F8, 52) (dual of [542, 395, 53]-code) | [i] | ||
| 77 | Linear OA(8153, 551, F8, 53) (dual of [551, 398, 54]-code) | [i] | ||
| 78 | Linear OA(8152, 547, F8, 53) (dual of [547, 395, 54]-code) | [i] | ||
| 79 | Linear OA(8150, 542, F8, 53) (dual of [542, 392, 54]-code) | [i] | ||
| 80 | Linear OA(8156, 551, F8, 54) (dual of [551, 395, 55]-code) | [i] | ||
| 81 | Linear OA(8155, 547, F8, 54) (dual of [547, 392, 55]-code) | [i] | ||
| 82 | Linear OA(8153, 542, F8, 54) (dual of [542, 389, 55]-code) | [i] | ||
| 83 | Linear OA(8162, 560, F8, 55) (dual of [560, 398, 56]-code) | [i] | ||
| 84 | Linear OA(8159, 551, F8, 55) (dual of [551, 392, 56]-code) | [i] | ||
| 85 | Linear OA(8165, 560, F8, 56) (dual of [560, 395, 57]-code) | [i] | ||
| 86 | Linear OA(8162, 551, F8, 56) (dual of [551, 389, 57]-code) | [i] | ||
| 87 | Linear OA(8165, 557, F8, 57) (dual of [557, 392, 58]-code) | [i] | ||
| 88 | Linear OA(8162, 548, F8, 57) (dual of [548, 386, 58]-code) | [i] | ||
| 89 | Linear OA(8168, 557, F8, 58) (dual of [557, 389, 59]-code) | [i] | ||
| 90 | Linear OA(8171, 557, F8, 59) (dual of [557, 386, 60]-code) | [i] | ||
| 91 | Linear OA(8165, 542, F8, 59) (dual of [542, 377, 60]-code) | [i] | ||
| 92 | Linear OA(8170, 547, F8, 60) (dual of [547, 377, 61]-code) | [i] | ||
| 93 | Linear OA(8168, 542, F8, 60) (dual of [542, 374, 61]-code) | [i] | ||
| 94 | Linear OA(8173, 547, F8, 61) (dual of [547, 374, 62]-code) | [i] | ||
| 95 | Linear OA(8171, 542, F8, 61) (dual of [542, 371, 62]-code) | [i] | ||
| 96 | Linear OOA(810, 12, F8, 2, 7) (dual of [(12, 2), 14, 8]-NRT-code) | [i] | OOA Folding | |