Information on Result #622123
Linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using extended algebraic-geometric code AGe(F,6P) based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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(848, 526, F8, 15) (dual of [526, 478, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(874, 32782, F8, 15) (dual of [32782, 32708, 16]-code) | [i] | ||
| 3 | Linear OA(8100, 2097166, F8, 15) (dual of [2097166, 2097066, 16]-code) | [i] | ||
| 4 | Linear OA(845, 526, F8, 14) (dual of [526, 481, 15]-code) | [i] | ||
| 5 | Linear OA(869, 32782, F8, 14) (dual of [32782, 32713, 15]-code) | [i] | ||
| 6 | Linear OA(893, 2097166, F8, 14) (dual of [2097166, 2097073, 15]-code) | [i] | ||
| 7 | Linear OA(883, 98, F8, 53) (dual of [98, 15, 54]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(891, 97, F8, 71) (dual of [97, 6, 72]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(832, 37, F8, 24) (dual of [37, 5, 25]-code) | [i] | ||
| 10 | Linear OA(890, 95, F8, 71) (dual of [95, 5, 72]-code) | [i] | ||
| 11 | Linear OA(873, 77, F8, 63) (dual of [77, 4, 64]-code) | [i] | ||
| 12 | Linear OA(882, 86, F8, 69) (dual of [86, 4, 70]-code) | [i] | ||
| 13 | Linear OA(884, 88, F8, 70) (dual of [88, 4, 71]-code) | [i] | ||
| 14 | Linear OA(885, 89, F8, 71) (dual of [89, 4, 72]-code) | [i] | ||
| 15 | Linear OA(8138, 142, F8, 119) (dual of [142, 4, 120]-code) | [i] | ||
| 16 | Linear OA(8134, 139, F8, 111) (dual of [139, 5, 112]-code) | [i] | ||
| 17 | Linear OA(8125, 131, F8, 103) (dual of [131, 6, 104]-code) | [i] | ||
| 18 | Linear OA(8138, 143, F8, 115) (dual of [143, 5, 116]-code) | [i] | ||
| 19 | Linear OA(238, 56, F2, 15) (dual of [56, 18, 16]-code) | [i] | Concatenation of Two Codes | |
| 20 | Linear OOA(266, 42, F2, 2, 31) (dual of [(42, 2), 18, 32]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 21 | Linear OOA(263, 39, F2, 2, 31) (dual of [(39, 2), 15, 32]-NRT-code) | [i] | ||
| 22 | Linear OOA(260, 36, F2, 2, 31) (dual of [(36, 2), 12, 32]-NRT-code) | [i] | ||
| 23 | Linear OOA(266, 28, F2, 3, 31) (dual of [(28, 3), 18, 32]-NRT-code) | [i] | ||
| 24 | Linear OOA(263, 26, F2, 3, 31) (dual of [(26, 3), 15, 32]-NRT-code) | [i] | ||
| 25 | Linear OOA(2108, 42, F2, 3, 55) (dual of [(42, 3), 18, 56]-NRT-code) | [i] | ||
| 26 | Linear OOA(2102, 39, F2, 3, 55) (dual of [(39, 3), 15, 56]-NRT-code) | [i] | ||
| 27 | Linear OOA(296, 36, F2, 3, 55) (dual of [(36, 3), 12, 56]-NRT-code) | [i] | ||
| 28 | Linear OA(830, 36, F8, 22) (dual of [36, 6, 23]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 29 | Linear OA(831, 37, F8, 23) (dual of [37, 6, 24]-code) | [i] | ||
| 30 | Linear OA(868, 76, F8, 51) (dual of [76, 8, 52]-code) | [i] | ||
| 31 | Linear OA(867, 76, F8, 50) (dual of [76, 9, 51]-code) | [i] | ||
| 32 | Linear OA(867, 78, F8, 49) (dual of [78, 11, 50]-code) | [i] | ||
| 33 | Linear OA(866, 78, F8, 47) (dual of [78, 12, 48]-code) | [i] | ||
| 34 | Linear OA(861, 78, F8, 41) (dual of [78, 17, 42]-code) | [i] | ||
| 35 | Linear OA(8120, 32793, F8, 23) (dual of [32793, 32673, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 36 | Linear OA(8160, 2097177, F8, 23) (dual of [2097177, 2097017, 24]-code) | [i] | ||
| 37 | Linear OA(841, 79, F8, 21) (dual of [79, 38, 22]-code) | [i] | Construction X with Cyclic Codes | |
| 38 | Linear OA(837, 79, F8, 19) (dual of [79, 42, 20]-code) | [i] | ||
| 39 | Linear OA(869, 87, F8, 44) (dual of [87, 18, 45]-code) | [i] | ||
| 40 | Linear OA(875, 87, F8, 53) (dual of [87, 12, 54]-code) | [i] | ||
| 41 | Linear OA(887, 97, F8, 61) (dual of [97, 10, 62]-code) | [i] | Construction XX with Cyclic Codes | |
| 42 | Linear OA(854, 84, F8, 30) (dual of [84, 30, 31]-code) | [i] | ||
| 43 | Linear OA(853, 82, F8, 30) (dual of [82, 29, 31]-code) | [i] | ||
| 44 | Linear OA(856, 85, F8, 31) (dual of [85, 29, 32]-code) | [i] | ||
| 45 | Linear OA(864, 94, F8, 34) (dual of [94, 30, 35]-code) | [i] | ||
| 46 | Linear OA(864, 94, F8, 35) (dual of [94, 30, 36]-code) | [i] | ||
| 47 | Linear OA(861, 91, F8, 33) (dual of [91, 30, 34]-code) | [i] | ||
| 48 | Linear OA(862, 90, F8, 35) (dual of [90, 28, 36]-code) | [i] | ||
| 49 | Linear OA(860, 86, F8, 35) (dual of [86, 26, 36]-code) | [i] | ||
| 50 | Linear OA(863, 90, F8, 36) (dual of [90, 27, 37]-code) | [i] | ||
| 51 | Linear OA(860, 81, F8, 38) (dual of [81, 21, 39]-code) | [i] | ||
| 52 | Linear OA(863, 84, F8, 39) (dual of [84, 21, 40]-code) | [i] | ||
| 53 | Linear OA(872, 94, F8, 43) (dual of [94, 22, 44]-code) | [i] | ||
| 54 | Linear OA(872, 94, F8, 44) (dual of [94, 22, 45]-code) | [i] | ||
| 55 | Linear OA(869, 91, F8, 42) (dual of [91, 22, 43]-code) | [i] | ||
| 56 | Linear OA(870, 91, F8, 43) (dual of [91, 21, 44]-code) | [i] | ||
| 57 | Linear OA(870, 91, F8, 43) (dual of [91, 21, 44]-code) | [i] | ||
| 58 | Linear OA(871, 91, F8, 44) (dual of [91, 20, 45]-code) | [i] | ||
| 59 | Linear OA(867, 86, F8, 42) (dual of [86, 19, 43]-code) | [i] | ||
| 60 | Linear OA(875, 97, F8, 45) (dual of [97, 22, 46]-code) | [i] | ||
| 61 | Linear OA(874, 94, F8, 45) (dual of [94, 20, 46]-code) | [i] | ||
| 62 | Linear OA(867, 84, F8, 43) (dual of [84, 17, 44]-code) | [i] | ||
| 63 | Linear OA(878, 100, F8, 46) (dual of [100, 22, 47]-code) | [i] | ||
| 64 | Linear OA(870, 91, F8, 44) (dual of [91, 21, 45]-code) | [i] | ||
| 65 | Linear OA(870, 91, F8, 44) (dual of [91, 21, 45]-code) | [i] | ||
| 66 | Linear OA(865, 86, F8, 40) (dual of [86, 21, 41]-code) | [i] | ||
| 67 | Linear OA(873, 93, F8, 45) (dual of [93, 20, 46]-code) | [i] | ||
| 68 | Linear OA(873, 94, F8, 45) (dual of [94, 21, 46]-code) | [i] | ||
| 69 | Linear OA(872, 91, F8, 45) (dual of [91, 19, 46]-code) | [i] | ||
| 70 | Linear OA(869, 88, F8, 44) (dual of [88, 19, 45]-code) | [i] | ||
| 71 | Linear OA(867, 86, F8, 43) (dual of [86, 19, 44]-code) | [i] | ||
| 72 | Linear OA(877, 98, F8, 46) (dual of [98, 21, 47]-code) | [i] | ||
| 73 | Linear OA(876, 96, F8, 46) (dual of [96, 20, 47]-code) | [i] | ||
| 74 | Linear OA(867, 84, F8, 44) (dual of [84, 17, 45]-code) | [i] | ||
| 75 | Linear OA(871, 90, F8, 45) (dual of [90, 19, 46]-code) | [i] | ||
| 76 | Linear OA(871, 90, F8, 45) (dual of [90, 19, 46]-code) | [i] | ||
| 77 | Linear OA(869, 86, F8, 45) (dual of [86, 17, 46]-code) | [i] | ||
| 78 | Linear OA(874, 93, F8, 46) (dual of [93, 19, 47]-code) | [i] | ||
| 79 | Linear OA(878, 97, F8, 47) (dual of [97, 19, 48]-code) | [i] | ||
| 80 | Linear OA(873, 91, F8, 46) (dual of [91, 18, 47]-code) | [i] | ||
| 81 | Linear OA(873, 91, F8, 46) (dual of [91, 18, 47]-code) | [i] | ||
| 82 | Linear OA(867, 80, F8, 47) (dual of [80, 13, 48]-code) | [i] | ||
| 83 | Linear OA(878, 93, F8, 52) (dual of [93, 15, 53]-code) | [i] | ||
| 84 | Linear OA(876, 91, F8, 51) (dual of [91, 15, 52]-code) | [i] | ||
| 85 | Linear OA(876, 91, F8, 51) (dual of [91, 15, 52]-code) | [i] | ||
| 86 | Linear OA(879, 94, F8, 53) (dual of [94, 15, 54]-code) | [i] | ||
| 87 | Linear OA(872, 87, F8, 48) (dual of [87, 15, 49]-code) | [i] | ||
| 88 | Linear OA(876, 89, F8, 53) (dual of [89, 13, 54]-code) | [i] | ||
| 89 | Linear OA(882, 97, F8, 54) (dual of [97, 15, 55]-code) | [i] | ||
| 90 | Linear OA(879, 92, F8, 54) (dual of [92, 13, 55]-code) | [i] | ||
| 91 | Linear OA(872, 84, F8, 51) (dual of [84, 12, 52]-code) | [i] | ||
| 92 | Linear OA(868, 76, F8, 54) (dual of [76, 8, 55]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 93 | Linear OA(864, 77, F8, 46) (dual of [77, 13, 47]-code) | [i] | ||
| 94 | Linear OA(863, 78, F8, 45) (dual of [78, 15, 46]-code) | [i] | ||
| 95 | Linear OA(857, 78, F8, 37) (dual of [78, 21, 38]-code) | [i] | ||
| 96 | Linear OA(874, 84, F8, 53) (dual of [84, 10, 54]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 97 | Linear OA(865, 79, F8, 46) (dual of [79, 14, 47]-code) | [i] | ||