Information on Result #701561
Linear OA(856, 65, F8, 46) (dual of [65, 9, 47]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,2,3,5,6,7,10,11,12,13,14,19,20,21}, and minimum distance d ≥ |{−25,−21,−17,…,25}|+1 = 47 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- BCH-Codes [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(856, 65, F8, 45) (dual of [65, 9, 46]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(856, 65, F8, 44) (dual of [65, 9, 45]-code) | [i] | ||
| 3 | Linear OA(856, 65, F8, 43) (dual of [65, 9, 44]-code) | [i] | ||
| 4 | Linear OA(857, 66, F8, 46) (dual of [66, 9, 47]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(853, 62, F8, 43) (dual of [62, 9, 44]-code) | [i] | Truncation | |
| 6 | Linear OA(852, 61, F8, 42) (dual of [61, 9, 43]-code) | [i] | ||
| 7 | Linear OA(851, 60, F8, 41) (dual of [60, 9, 42]-code) | [i] | ||
| 8 | Linear OA(850, 59, F8, 40) (dual of [59, 9, 41]-code) | [i] | ||
| 9 | Linear OA(849, 58, F8, 39) (dual of [58, 9, 40]-code) | [i] | ||
| 10 | Linear OA(848, 57, F8, 38) (dual of [57, 9, 39]-code) | [i] | ||
| 11 | Linear OA(847, 56, F8, 37) (dual of [56, 9, 38]-code) | [i] | ||
| 12 | Linear OA(846, 55, F8, 36) (dual of [55, 9, 37]-code) | [i] | ||
| 13 | Linear OA(845, 54, F8, 35) (dual of [54, 9, 36]-code) | [i] | ||
| 14 | Linear OA(844, 53, F8, 34) (dual of [53, 9, 35]-code) | [i] | ||
| 15 | Linear OA(843, 52, F8, 33) (dual of [52, 9, 34]-code) | [i] | ||
| 16 | Linear OA(842, 51, F8, 32) (dual of [51, 9, 33]-code) | [i] | ||
| 17 | Linear OA(841, 50, F8, 31) (dual of [50, 9, 32]-code) | [i] | ||
| 18 | Linear OA(840, 49, F8, 30) (dual of [49, 9, 31]-code) | [i] | ||
| 19 | Linear OA(839, 48, F8, 29) (dual of [48, 9, 30]-code) | [i] | ||
| 20 | Linear OA(8121, 130, F8, 93) (dual of [130, 9, 94]-code) | [i] | Repeating Each Code Word | |
| 21 | Linear OA(865, 74, F8, 47) (dual of [74, 9, 48]-code) | [i] | Juxtaposition | |
| 22 | Linear OA(866, 75, F8, 48) (dual of [75, 9, 49]-code) | [i] | ||
| 23 | Linear OA(868, 77, F8, 49) (dual of [77, 9, 50]-code) | [i] | ||
| 24 | Linear OA(869, 78, F8, 50) (dual of [78, 9, 51]-code) | [i] | ||
| 25 | Linear OA(870, 79, F8, 51) (dual of [79, 9, 52]-code) | [i] | ||
| 26 | Linear OA(872, 81, F8, 52) (dual of [81, 9, 53]-code) | [i] | ||
| 27 | Linear OA(873, 82, F8, 53) (dual of [82, 9, 54]-code) | [i] | ||
| 28 | Linear OA(875, 84, F8, 54) (dual of [84, 9, 55]-code) | [i] | ||
| 29 | Linear OA(876, 85, F8, 55) (dual of [85, 9, 56]-code) | [i] | ||
| 30 | Linear OA(877, 86, F8, 56) (dual of [86, 9, 57]-code) | [i] | ||
| 31 | Linear OA(878, 87, F8, 57) (dual of [87, 9, 58]-code) | [i] | ||
| 32 | Linear OA(879, 88, F8, 58) (dual of [88, 9, 59]-code) | [i] | ||
| 33 | Linear OA(880, 89, F8, 59) (dual of [89, 9, 60]-code) | [i] | ||
| 34 | Linear OA(883, 92, F8, 60) (dual of [92, 9, 61]-code) | [i] | ||
| 35 | Linear OA(884, 93, F8, 61) (dual of [93, 9, 62]-code) | [i] | ||
| 36 | Linear OA(887, 96, F8, 62) (dual of [96, 9, 63]-code) | [i] | ||
| 37 | Linear OA(888, 97, F8, 63) (dual of [97, 9, 64]-code) | [i] | ||
| 38 | Linear OA(889, 98, F8, 64) (dual of [98, 9, 65]-code) | [i] | ||
| 39 | Linear OA(890, 99, F8, 65) (dual of [99, 9, 66]-code) | [i] | ||
| 40 | Linear OA(893, 102, F8, 66) (dual of [102, 9, 67]-code) | [i] | ||
| 41 | Linear OA(894, 103, F8, 67) (dual of [103, 9, 68]-code) | [i] | ||
| 42 | Linear OA(895, 104, F8, 68) (dual of [104, 9, 69]-code) | [i] | ||
| 43 | Linear OA(896, 105, F8, 69) (dual of [105, 9, 70]-code) | [i] | ||
| 44 | Linear OA(897, 106, F8, 70) (dual of [106, 9, 71]-code) | [i] | ||
| 45 | Linear OA(898, 107, F8, 71) (dual of [107, 9, 72]-code) | [i] | ||
| 46 | Linear OA(899, 108, F8, 72) (dual of [108, 9, 73]-code) | [i] | ||
| 47 | Linear OA(8100, 109, F8, 73) (dual of [109, 9, 74]-code) | [i] | ||
| 48 | Linear OA(8101, 110, F8, 74) (dual of [110, 9, 75]-code) | [i] | ||
| 49 | Linear OA(882, 91, F8, 60) (dual of [91, 9, 61]-code) | [i] | ||
| 50 | Linear OA(886, 95, F8, 62) (dual of [95, 9, 63]-code) | [i] | ||
| 51 | Linear OA(892, 101, F8, 66) (dual of [101, 9, 67]-code) | [i] | ||
| 52 | Linear OA(8127, 136, F8, 94) (dual of [136, 9, 95]-code) | [i] | ||
| 53 | Linear OA(8130, 139, F8, 96) (dual of [139, 9, 97]-code) | [i] | ||
| 54 | Linear OA(8124, 133, F8, 94) (dual of [133, 9, 95]-code) | [i] | ||
| 55 | Linear OA(8126, 135, F8, 95) (dual of [135, 9, 96]-code) | [i] | ||
| 56 | Linear OA(8130, 139, F8, 98) (dual of [139, 9, 99]-code) | [i] | ||
| 57 | Linear OA(8135, 144, F8, 102) (dual of [144, 9, 103]-code) | [i] | ||
| 58 | Linear OA(8129, 138, F8, 98) (dual of [138, 9, 99]-code) | [i] | ||
| 59 | Linear OA(8172, 181, F8, 132) (dual of [181, 9, 133]-code) | [i] | ||
| 60 | Linear OA(8137, 146, F8, 104) (dual of [146, 9, 105]-code) | [i] | ||
| 61 | Linear OA(8134, 143, F8, 102) (dual of [143, 9, 103]-code) | [i] | ||
| 62 | Linear OA(861, 70, F8, 48) (dual of [70, 9, 49]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 63 | Linear OA(870, 79, F8, 55) (dual of [79, 9, 56]-code) | [i] | ✔ | |
| 64 | Linear OA(887, 96, F8, 64) (dual of [96, 9, 65]-code) | [i] | ✔ | |
| 65 | Linear OA(885, 93, F8, 64) (dual of [93, 8, 65]-code) | [i] | ✔ | |