Information on Result #622124
Linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using extended algebraic-geometric code AGe(F,5P) 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(8126, 130, F8, 89) (dual of [130, 4, 90]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(852, 527, F8, 17) (dual of [527, 475, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(880, 32783, F8, 17) (dual of [32783, 32703, 18]-code) | [i] | ||
| 4 | Linear OA(894, 262159, F8, 17) (dual of [262159, 262065, 18]-code) | [i] | ||
| 5 | Linear OA(8108, 2097167, F8, 17) (dual of [2097167, 2097059, 18]-code) | [i] | ||
| 6 | Linear OA(8100, 112, F8, 69) (dual of [112, 12, 70]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(883, 98, F8, 53) (dual of [98, 15, 54]-code) | [i] | ||
| 8 | Linear OA(833, 38, F8, 25) (dual of [38, 5, 26]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(881, 86, F8, 64) (dual of [86, 5, 65]-code) | [i] | ||
| 10 | Linear OA(891, 96, F8, 72) (dual of [96, 5, 73]-code) | [i] | ||
| 11 | Linear OA(874, 78, F8, 64) (dual of [78, 4, 65]-code) | [i] | ||
| 12 | Linear OA(883, 87, F8, 70) (dual of [87, 4, 71]-code) | [i] | ||
| 13 | Linear OA(886, 90, F8, 72) (dual of [90, 4, 73]-code) | [i] | ||
| 14 | Linear OA(887, 91, F8, 73) (dual of [91, 4, 74]-code) | [i] | ||
| 15 | Linear OA(8139, 143, F8, 120) (dual of [143, 4, 121]-code) | [i] | ||
| 16 | Linear OA(879, 84, F8, 64) (dual of [84, 5, 65]-code) | [i] | ||
| 17 | Linear OA(888, 93, F8, 70) (dual of [93, 5, 71]-code) | [i] | ||
| 18 | Linear OA(8159, 163, F8, 136) (dual of [163, 4, 137]-code) | [i] | ||
| 19 | Linear OA(8135, 140, F8, 112) (dual of [140, 5, 113]-code) | [i] | ||
| 20 | Linear OA(8149, 154, F8, 121) (dual of [154, 5, 122]-code) | [i] | ||
| 21 | Linear OA(8125, 130, F8, 104) (dual of [130, 5, 105]-code) | [i] | ||
| 22 | Linear OA(8129, 134, F8, 108) (dual of [134, 5, 109]-code) | [i] | ||
| 23 | Linear OA(8139, 144, F8, 116) (dual of [144, 5, 117]-code) | [i] | ||
| 24 | Linear OA(241, 56, F2, 17) (dual of [56, 15, 18]-code) | [i] | Concatenation of Two Codes | |
| 25 | Linear OA(240, 52, F2, 17) (dual of [52, 12, 18]-code) | [i] | ||
| 26 | Linear OOA(269, 42, F2, 2, 35) (dual of [(42, 2), 15, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 27 | Linear OOA(266, 39, F2, 2, 35) (dual of [(39, 2), 12, 36]-NRT-code) | [i] | ||
| 28 | Linear OOA(2118, 65, F2, 2, 62) (dual of [(65, 2), 12, 63]-NRT-code) | [i] | ||
| 29 | Linear OOA(2111, 42, F2, 3, 62) (dual of [(42, 3), 15, 63]-NRT-code) | [i] | ||
| 30 | Linear OOA(2105, 39, F2, 3, 62) (dual of [(39, 3), 12, 63]-NRT-code) | [i] | ||
| 31 | Linear OA(869, 78, F8, 51) (dual of [78, 9, 52]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 32 | Linear OA(868, 78, F8, 50) (dual of [78, 10, 51]-code) | [i] | ||
| 33 | Linear OA(872, 80, F8, 54) (dual of [80, 8, 55]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 34 | Linear OA(870, 79, F8, 55) (dual of [79, 9, 56]-code) | [i] | Construction X with Cyclic Codes | |
| 35 | Linear OA(870, 87, F8, 45) (dual of [87, 17, 46]-code) | [i] | ||
| 36 | Linear OA(879, 86, F8, 63) (dual of [86, 7, 64]-code) | [i] | ||
| 37 | Linear OA(865, 94, F8, 35) (dual of [94, 29, 36]-code) | [i] | Construction XX with Cyclic Codes | |
| 38 | Linear OA(873, 94, F8, 44) (dual of [94, 21, 45]-code) | [i] | ||
| 39 | Linear OA(870, 91, F8, 42) (dual of [91, 21, 43]-code) | [i] | ||
| 40 | Linear OA(871, 91, F8, 44) (dual of [91, 20, 45]-code) | [i] | ||
| 41 | Linear OA(872, 91, F8, 45) (dual of [91, 19, 46]-code) | [i] | ||
| 42 | Linear OA(875, 94, F8, 46) (dual of [94, 19, 47]-code) | [i] | ||
| 43 | Linear OA(877, 91, F8, 53) (dual of [91, 14, 54]-code) | [i] | ||
| 44 | Linear OA(877, 91, F8, 53) (dual of [91, 14, 54]-code) | [i] | ||
| 45 | Linear OA(872, 86, F8, 49) (dual of [86, 14, 50]-code) | [i] | ||
| 46 | Linear OA(876, 89, F8, 53) (dual of [89, 13, 54]-code) | [i] | ||
| 47 | Linear OA(873, 86, F8, 51) (dual of [86, 13, 52]-code) | [i] | ||
| 48 | Linear OA(880, 94, F8, 54) (dual of [94, 14, 55]-code) | [i] | ||
| 49 | Linear OA(874, 85, F8, 53) (dual of [85, 11, 54]-code) | [i] | ||
| 50 | Linear OA(887, 100, F8, 57) (dual of [100, 13, 58]-code) | [i] | ||
| 51 | Linear OA(878, 91, F8, 54) (dual of [91, 13, 55]-code) | [i] | ||
| 52 | Linear OA(878, 91, F8, 54) (dual of [91, 13, 55]-code) | [i] | ||
| 53 | Linear OA(881, 94, F8, 55) (dual of [94, 13, 56]-code) | [i] | ||
| 54 | Linear OA(888, 101, F8, 58) (dual of [101, 13, 59]-code) | [i] | ||
| 55 | Linear OA(879, 91, F8, 55) (dual of [91, 12, 56]-code) | [i] | ||
| 56 | Linear OA(879, 91, F8, 55) (dual of [91, 12, 56]-code) | [i] | ||
| 57 | Linear OA(882, 91, F8, 62) (dual of [91, 9, 63]-code) | [i] | ||
| 58 | Linear OA(882, 91, F8, 62) (dual of [91, 9, 63]-code) | [i] | ||
| 59 | Linear OA(877, 86, F8, 58) (dual of [86, 9, 59]-code) | [i] | ||
| 60 | Linear OA(881, 89, F8, 62) (dual of [89, 8, 63]-code) | [i] | ||
| 61 | Linear OA(881, 89, F8, 62) (dual of [89, 8, 63]-code) | [i] | ||
| 62 | Linear OA(877, 85, F8, 59) (dual of [85, 8, 60]-code) | [i] | ||
| 63 | Linear OA(878, 86, F8, 60) (dual of [86, 8, 61]-code) | [i] | ||
| 64 | Linear OA(870, 78, F8, 55) (dual of [78, 8, 56]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 65 | Linear OA(869, 78, F8, 54) (dual of [78, 9, 55]-code) | [i] | ||