Information on Result #615307
Linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound)
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(861, 65, F8, 54) (dual of [65, 4, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(861, 65, F8, 53) (dual of [65, 4, 54]-code) | [i] | ||
| 3 | Linear OA(861, 65, F8, 52) (dual of [65, 4, 53]-code) | [i] | ||
| 4 | Linear OA(862, 66, F8, 55) (dual of [66, 4, 56]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(860, 64, F8, 54) (dual of [64, 4, 55]-code) | [i] | Truncation | |
| 6 | Linear OA(858, 62, F8, 52) (dual of [62, 4, 53]-code) | [i] | ||
| 7 | Linear OA(857, 61, F8, 51) (dual of [61, 4, 52]-code) | [i] | ||
| 8 | Linear OA(856, 60, F8, 50) (dual of [60, 4, 51]-code) | [i] | ||
| 9 | Linear OA(855, 59, F8, 49) (dual of [59, 4, 50]-code) | [i] | ||
| 10 | Linear OA(854, 58, F8, 48) (dual of [58, 4, 49]-code) | [i] | ||
| 11 | Linear OA(853, 57, F8, 47) (dual of [57, 4, 48]-code) | [i] | ||
| 12 | Linear OA(852, 56, F8, 46) (dual of [56, 4, 47]-code) | [i] | ||
| 13 | Linear OA(851, 55, F8, 45) (dual of [55, 4, 46]-code) | [i] | ||
| 14 | Linear OA(850, 54, F8, 44) (dual of [54, 4, 45]-code) | [i] | ||
| 15 | Linear OA(849, 53, F8, 43) (dual of [53, 4, 44]-code) | [i] | ||
| 16 | Linear OA(848, 52, F8, 42) (dual of [52, 4, 43]-code) | [i] | ||
| 17 | Linear OA(847, 51, F8, 41) (dual of [51, 4, 42]-code) | [i] | ||
| 18 | Linear OA(846, 50, F8, 40) (dual of [50, 4, 41]-code) | [i] | ||
| 19 | Linear OA(845, 49, F8, 39) (dual of [49, 4, 40]-code) | [i] | ||
| 20 | Linear OA(844, 48, F8, 38) (dual of [48, 4, 39]-code) | [i] | ||
| 21 | Linear OA(843, 47, F8, 37) (dual of [47, 4, 38]-code) | [i] | ||
| 22 | Linear OA(842, 46, F8, 36) (dual of [46, 4, 37]-code) | [i] | ||
| 23 | Linear OA(841, 45, F8, 35) (dual of [45, 4, 36]-code) | [i] | ||
| 24 | Linear OA(839, 43, F8, 33) (dual of [43, 4, 34]-code) | [i] | ||
| 25 | Linear OA(838, 42, F8, 32) (dual of [42, 4, 33]-code) | [i] | ||
| 26 | Linear OA(837, 41, F8, 31) (dual of [41, 4, 32]-code) | [i] | ||
| 27 | Linear OA(836, 40, F8, 30) (dual of [40, 4, 31]-code) | [i] | ||
| 28 | Linear OA(8126, 130, F8, 111) (dual of [130, 4, 112]-code) | [i] | Repeating Each Code Word | |
| 29 | Linear OA(865, 69, F8, 56) (dual of [69, 4, 57]-code) | [i] | Juxtaposition | |
| 30 | Linear OA(866, 70, F8, 57) (dual of [70, 4, 58]-code) | [i] | ||
| 31 | Linear OA(867, 71, F8, 58) (dual of [71, 4, 59]-code) | [i] | ||
| 32 | Linear OA(868, 72, F8, 59) (dual of [72, 4, 60]-code) | [i] | ||
| 33 | Linear OA(869, 73, F8, 60) (dual of [73, 4, 61]-code) | [i] | ||
| 34 | Linear OA(870, 74, F8, 61) (dual of [74, 4, 62]-code) | [i] | ||
| 35 | Linear OA(872, 76, F8, 62) (dual of [76, 4, 63]-code) | [i] | ||
| 36 | Linear OA(873, 77, F8, 63) (dual of [77, 4, 64]-code) | [i] | ||
| 37 | Linear OA(874, 78, F8, 64) (dual of [78, 4, 65]-code) | [i] | ||
| 38 | Linear OA(875, 79, F8, 65) (dual of [79, 4, 66]-code) | [i] | ||
| 39 | Linear OA(877, 81, F8, 66) (dual of [81, 4, 67]-code) | [i] | ||
| 40 | Linear OA(878, 82, F8, 67) (dual of [82, 4, 68]-code) | [i] | ||
| 41 | Linear OA(880, 84, F8, 68) (dual of [84, 4, 69]-code) | [i] | ||
| 42 | Linear OA(881, 85, F8, 69) (dual of [85, 4, 70]-code) | [i] | ||
| 43 | Linear OA(882, 86, F8, 70) (dual of [86, 4, 71]-code) | [i] | ||
| 44 | Linear OA(883, 87, F8, 71) (dual of [87, 4, 72]-code) | [i] | ||
| 45 | Linear OA(884, 88, F8, 72) (dual of [88, 4, 73]-code) | [i] | ||
| 46 | Linear OA(885, 89, F8, 73) (dual of [89, 4, 74]-code) | [i] | ||
| 47 | Linear OA(8136, 140, F8, 119) (dual of [140, 4, 120]-code) | [i] | ||
| 48 | Linear OA(876, 80, F8, 66) (dual of [80, 4, 67]-code) | [i] | ||
| 49 | Linear OA(877, 81, F8, 67) (dual of [81, 4, 68]-code) | [i] | ||
| 50 | Linear OA(881, 85, F8, 70) (dual of [85, 4, 71]-code) | [i] | ||
| 51 | Linear OA(892, 96, F8, 79) (dual of [96, 4, 80]-code) | [i] | ||
| 52 | Linear OA(893, 97, F8, 80) (dual of [97, 4, 81]-code) | [i] | ||
| 53 | Linear OA(896, 100, F8, 82) (dual of [100, 4, 83]-code) | [i] | ||
| 54 | Linear OA(897, 101, F8, 83) (dual of [101, 4, 84]-code) | [i] | ||
| 55 | Linear OA(898, 102, F8, 84) (dual of [102, 4, 85]-code) | [i] | ||
| 56 | Linear OA(899, 103, F8, 85) (dual of [103, 4, 86]-code) | [i] | ||
| 57 | Linear OA(8100, 104, F8, 86) (dual of [104, 4, 87]-code) | [i] | ||
| 58 | Linear OA(8101, 105, F8, 87) (dual of [105, 4, 88]-code) | [i] | ||
| 59 | Linear OA(8102, 106, F8, 88) (dual of [106, 4, 89]-code) | [i] | ||
| 60 | Linear OA(8103, 107, F8, 89) (dual of [107, 4, 90]-code) | [i] | ||
| 61 | Linear OA(8104, 108, F8, 90) (dual of [108, 4, 91]-code) | [i] | ||
| 62 | Linear OA(8105, 109, F8, 91) (dual of [109, 4, 92]-code) | [i] | ||
| 63 | Linear OA(8141, 145, F8, 123) (dual of [145, 4, 124]-code) | [i] | ||
| 64 | Linear OA(8153, 157, F8, 133) (dual of [157, 4, 134]-code) | [i] | ||
| 65 | Linear OA(8164, 168, F8, 143) (dual of [168, 4, 144]-code) | [i] | ||
| 66 | Linear OA(8169, 173, F8, 147) (dual of [173, 4, 148]-code) | [i] | ||
| 67 | Linear OA(8155, 159, F8, 135) (dual of [159, 4, 136]-code) | [i] | ||
| 68 | Linear OA(8173, 177, F8, 151) (dual of [177, 4, 152]-code) | [i] | ||
| 69 | Linear OA(867, 72, F8, 55) (dual of [72, 5, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 70 | Linear OA(886, 102, F8, 55) (dual of [102, 16, 56]-code) | [i] | ✔ | |
| 71 | Linear OA(884, 99, F8, 54) (dual of [99, 15, 55]-code) | [i] | ✔ | |
| 72 | Linear OA(883, 99, F8, 53) (dual of [99, 16, 54]-code) | [i] | ✔ | |
| 73 | Linear OA(880, 96, F8, 51) (dual of [96, 16, 52]-code) | [i] | ✔ | |
| 74 | Linear OA(876, 92, F8, 49) (dual of [92, 16, 50]-code) | [i] | ✔ | |
| 75 | Linear OA(870, 79, F8, 55) (dual of [79, 9, 56]-code) | [i] | ✔ | |
| 76 | Linear OA(881, 95, F8, 53) (dual of [95, 14, 54]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |