Information on Result #644125
Linear OA(810, 26, F8, 6) (dual of [26, 16, 7]-code), using construction X applied to AG(F,16P) ⊂ AG(F,18P) based on
- linear OA(89, 23, F8, 6) (dual of [23, 14, 7]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(87, 23, F8, 4) (dual of [23, 16, 5]-code), using algebraic-geometric code AG(F,18P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(866, 32794, F8, 13) (dual of [32794, 32728, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(888, 2097178, F8, 13) (dual of [2097178, 2097090, 14]-code) | [i] | ||
| 3 | Linear OA(860, 544, F8, 19) (dual of [544, 484, 20]-code) | [i] | Construction XX with Cyclic Codes | |
| 4 | Linear OA(863, 544, F8, 20) (dual of [544, 481, 21]-code) | [i] | ||
| 5 | Linear OA(866, 544, F8, 21) (dual of [544, 478, 22]-code) | [i] | ||
| 6 | Linear OA(869, 544, F8, 22) (dual of [544, 475, 23]-code) | [i] | ||
| 7 | Linear OA(875, 553, F8, 23) (dual of [553, 478, 24]-code) | [i] | ||
| 8 | Linear OA(878, 553, F8, 24) (dual of [553, 475, 25]-code) | [i] | ||
| 9 | Linear OA(878, 550, F8, 25) (dual of [550, 472, 26]-code) | [i] | ||
| 10 | Linear OA(876, 545, F8, 25) (dual of [545, 469, 26]-code) | [i] | ||
| 11 | Linear OA(879, 545, F8, 26) (dual of [545, 466, 27]-code) | [i] | ||
| 12 | Linear OA(887, 559, F8, 27) (dual of [559, 472, 28]-code) | [i] | ||
| 13 | Linear OA(881, 544, F8, 27) (dual of [544, 463, 28]-code) | [i] | ||
| 14 | Linear OA(886, 549, F8, 28) (dual of [549, 463, 29]-code) | [i] | ||
| 15 | Linear OA(884, 544, F8, 28) (dual of [544, 460, 29]-code) | [i] | ||
| 16 | Linear OA(890, 553, F8, 29) (dual of [553, 463, 30]-code) | [i] | ||
| 17 | Linear OA(887, 544, F8, 29) (dual of [544, 457, 30]-code) | [i] | ||
| 18 | Linear OA(893, 553, F8, 30) (dual of [553, 460, 31]-code) | [i] | ||
| 19 | Linear OA(890, 544, F8, 30) (dual of [544, 454, 31]-code) | [i] | ||
| 20 | Linear OA(899, 562, F8, 31) (dual of [562, 463, 32]-code) | [i] | ||
| 21 | Linear OA(896, 553, F8, 31) (dual of [553, 457, 32]-code) | [i] | ||
| 22 | Linear OA(8102, 562, F8, 32) (dual of [562, 460, 33]-code) | [i] | ||
| 23 | Linear OA(899, 553, F8, 32) (dual of [553, 454, 33]-code) | [i] | ||
| 24 | Linear OA(8102, 559, F8, 33) (dual of [559, 457, 34]-code) | [i] | ||
| 25 | Linear OA(899, 550, F8, 33) (dual of [550, 451, 34]-code) | [i] | ||
| 26 | Linear OA(897, 545, F8, 33) (dual of [545, 448, 34]-code) | [i] | ||
| 27 | Linear OA(8105, 559, F8, 34) (dual of [559, 454, 35]-code) | [i] | ||
| 28 | Linear OA(8100, 545, F8, 34) (dual of [545, 445, 35]-code) | [i] | ||
| 29 | Linear OA(8108, 559, F8, 35) (dual of [559, 451, 36]-code) | [i] | ||
| 30 | Linear OA(8102, 544, F8, 35) (dual of [544, 442, 36]-code) | [i] | ||
| 31 | Linear OA(8107, 549, F8, 36) (dual of [549, 442, 37]-code) | [i] | ||
| 32 | Linear OA(8105, 544, F8, 36) (dual of [544, 439, 37]-code) | [i] | ||
| 33 | Linear OA(8111, 553, F8, 37) (dual of [553, 442, 38]-code) | [i] | ||
| 34 | Linear OA(8108, 544, F8, 37) (dual of [544, 436, 38]-code) | [i] | ||
| 35 | Linear OA(8114, 553, F8, 38) (dual of [553, 439, 39]-code) | [i] | ||
| 36 | Linear OA(8111, 544, F8, 38) (dual of [544, 433, 39]-code) | [i] | ||
| 37 | Linear OA(8120, 562, F8, 39) (dual of [562, 442, 40]-code) | [i] | ||
| 38 | Linear OA(8117, 553, F8, 39) (dual of [553, 436, 40]-code) | [i] | ||
| 39 | Linear OA(8123, 562, F8, 40) (dual of [562, 439, 41]-code) | [i] | ||
| 40 | Linear OA(8120, 553, F8, 40) (dual of [553, 433, 41]-code) | [i] | ||
| 41 | Linear OA(8123, 559, F8, 41) (dual of [559, 436, 42]-code) | [i] | ||
| 42 | Linear OA(8120, 550, F8, 41) (dual of [550, 430, 42]-code) | [i] | ||
| 43 | Linear OA(8118, 545, F8, 41) (dual of [545, 427, 42]-code) | [i] | ||
| 44 | Linear OA(8126, 559, F8, 42) (dual of [559, 433, 43]-code) | [i] | ||
| 45 | Linear OA(8121, 545, F8, 42) (dual of [545, 424, 43]-code) | [i] | ||
| 46 | Linear OA(8129, 559, F8, 43) (dual of [559, 430, 44]-code) | [i] | ||
| 47 | Linear OA(8123, 544, F8, 43) (dual of [544, 421, 44]-code) | [i] | ||
| 48 | Linear OA(8128, 549, F8, 44) (dual of [549, 421, 45]-code) | [i] | ||
| 49 | Linear OA(8126, 544, F8, 44) (dual of [544, 418, 45]-code) | [i] | ||
| 50 | Linear OA(8132, 553, F8, 45) (dual of [553, 421, 46]-code) | [i] | ||
| 51 | Linear OA(8129, 544, F8, 45) (dual of [544, 415, 46]-code) | [i] | ||
| 52 | Linear OA(8135, 553, F8, 46) (dual of [553, 418, 47]-code) | [i] | ||
| 53 | Linear OA(8132, 544, F8, 46) (dual of [544, 412, 47]-code) | [i] | ||
| 54 | Linear OA(8141, 562, F8, 47) (dual of [562, 421, 48]-code) | [i] | ||
| 55 | Linear OA(8138, 553, F8, 47) (dual of [553, 415, 48]-code) | [i] | ||
| 56 | Linear OA(8144, 562, F8, 48) (dual of [562, 418, 49]-code) | [i] | ||
| 57 | Linear OA(8141, 553, F8, 48) (dual of [553, 412, 49]-code) | [i] | ||
| 58 | Linear OA(8144, 559, F8, 49) (dual of [559, 415, 50]-code) | [i] | ||
| 59 | Linear OA(8141, 550, F8, 49) (dual of [550, 409, 50]-code) | [i] | ||
| 60 | Linear OA(8139, 545, F8, 49) (dual of [545, 406, 50]-code) | [i] | ||
| 61 | Linear OA(8147, 559, F8, 50) (dual of [559, 412, 51]-code) | [i] | ||
| 62 | Linear OA(8142, 545, F8, 50) (dual of [545, 403, 51]-code) | [i] | ||
| 63 | Linear OA(8150, 559, F8, 51) (dual of [559, 409, 52]-code) | [i] | ||
| 64 | Linear OA(8144, 544, F8, 51) (dual of [544, 400, 52]-code) | [i] | ||
| 65 | Linear OA(8149, 549, F8, 52) (dual of [549, 400, 53]-code) | [i] | ||
| 66 | Linear OA(8147, 544, F8, 52) (dual of [544, 397, 53]-code) | [i] | ||
| 67 | Linear OA(8153, 553, F8, 53) (dual of [553, 400, 54]-code) | [i] | ||
| 68 | Linear OA(8150, 544, F8, 53) (dual of [544, 394, 54]-code) | [i] | ||
| 69 | Linear OA(8156, 553, F8, 54) (dual of [553, 397, 55]-code) | [i] | ||
| 70 | Linear OA(8153, 544, F8, 54) (dual of [544, 391, 55]-code) | [i] | ||
| 71 | Linear OA(8162, 562, F8, 55) (dual of [562, 400, 56]-code) | [i] | ||
| 72 | Linear OA(8159, 553, F8, 55) (dual of [553, 394, 56]-code) | [i] | ||
| 73 | Linear OA(8165, 562, F8, 56) (dual of [562, 397, 57]-code) | [i] | ||
| 74 | Linear OA(8162, 553, F8, 56) (dual of [553, 391, 57]-code) | [i] | ||
| 75 | Linear OA(8165, 559, F8, 57) (dual of [559, 394, 58]-code) | [i] | ||
| 76 | Linear OA(8162, 550, F8, 57) (dual of [550, 388, 58]-code) | [i] | ||
| 77 | Linear OA(8160, 545, F8, 57) (dual of [545, 385, 58]-code) | [i] | ||
| 78 | Linear OA(8168, 559, F8, 58) (dual of [559, 391, 59]-code) | [i] | ||
| 79 | Linear OA(8163, 545, F8, 58) (dual of [545, 382, 59]-code) | [i] | ||
| 80 | Linear OA(8171, 559, F8, 59) (dual of [559, 388, 60]-code) | [i] | ||
| 81 | Linear OA(8165, 544, F8, 59) (dual of [544, 379, 60]-code) | [i] | ||
| 82 | Linear OA(8170, 549, F8, 60) (dual of [549, 379, 61]-code) | [i] | ||
| 83 | Linear OA(8168, 544, F8, 60) (dual of [544, 376, 61]-code) | [i] | ||
| 84 | Linear OA(8171, 544, F8, 61) (dual of [544, 373, 62]-code) | [i] | ||
| 85 | Linear OA(8173, 538, F8, 62) (dual of [538, 365, 63]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 86 | Linear OA(8167, 538, F8, 60) (dual of [538, 371, 61]-code) | [i] | ||
| 87 | Linear OA(8161, 538, F8, 58) (dual of [538, 377, 59]-code) | [i] | ||
| 88 | Linear OA(8146, 538, F8, 52) (dual of [538, 392, 53]-code) | [i] | ||
| 89 | Linear OA(8143, 538, F8, 51) (dual of [538, 395, 52]-code) | [i] | ||
| 90 | Linear OA(8140, 538, F8, 50) (dual of [538, 398, 51]-code) | [i] | ||
| 91 | Linear OA(8137, 538, F8, 49) (dual of [538, 401, 50]-code) | [i] | ||
| 92 | Linear OA(8131, 538, F8, 46) (dual of [538, 407, 47]-code) | [i] | ||
| 93 | Linear OA(8125, 538, F8, 44) (dual of [538, 413, 45]-code) | [i] | ||
| 94 | Linear OA(8119, 538, F8, 42) (dual of [538, 419, 43]-code) | [i] | ||
| 95 | Linear OA(8104, 538, F8, 36) (dual of [538, 434, 37]-code) | [i] | ||
| 96 | Linear OA(8101, 538, F8, 35) (dual of [538, 437, 36]-code) | [i] | ||
| 97 | Linear OA(898, 538, F8, 34) (dual of [538, 440, 35]-code) | [i] | ||
| 98 | Linear OA(895, 538, F8, 33) (dual of [538, 443, 34]-code) | [i] | ||
| 99 | Linear OA(889, 538, F8, 30) (dual of [538, 449, 31]-code) | [i] | ||
| 100 | Linear OA(883, 538, F8, 28) (dual of [538, 455, 29]-code) | [i] | ||
| 101 | Linear OA(877, 538, F8, 26) (dual of [538, 461, 27]-code) | [i] | ||
| 102 | Linear OA(862, 538, F8, 20) (dual of [538, 476, 21]-code) | [i] | ||
| 103 | Linear OA(859, 538, F8, 19) (dual of [538, 479, 20]-code) | [i] | ||
| 104 | Linear OA(856, 538, F8, 18) (dual of [538, 482, 19]-code) | [i] | ||
| 105 | Linear OA(853, 538, F8, 17) (dual of [538, 485, 18]-code) | [i] | ||