Information on Result #606349
Linear OA(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using Reed–Solomon code RS(2,8)
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(8138, 32792, F8, 27) (dual of [32792, 32654, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(8114, 120, F8, 90) (dual of [120, 6, 91]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(8122, 128, F8, 97) (dual of [128, 6, 98]-code) | [i] | ||
| 4 | Linear OA(8130, 136, F8, 104) (dual of [136, 6, 105]-code) | [i] | ||
| 5 | Linear OA(8138, 144, F8, 111) (dual of [144, 6, 112]-code) | [i] | ||
| 6 | Linear OA(8146, 152, F8, 118) (dual of [152, 6, 119]-code) | [i] | ||
| 7 | Linear OA(8140, 144, F8, 118) (dual of [144, 4, 119]-code) | [i] | ||
| 8 | Linear OA(8154, 160, F8, 125) (dual of [160, 6, 126]-code) | [i] | ||
| 9 | Linear OA(8148, 152, F8, 125) (dual of [152, 4, 126]-code) | [i] | ||
| 10 | Linear OA(8168, 176, F8, 132) (dual of [176, 8, 133]-code) | [i] | ||
| 11 | Linear OA(8162, 168, F8, 132) (dual of [168, 6, 133]-code) | [i] | ||
| 12 | Linear OA(8170, 176, F8, 139) (dual of [176, 6, 140]-code) | [i] | ||
| 13 | Linear OOA(242, 24, F2, 2, 27) (dual of [(24, 2), 6, 28]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 14 | Linear OOA(274, 40, F2, 2, 48) (dual of [(40, 2), 6, 49]-NRT-code) | [i] | ||
| 15 | Linear OOA(266, 24, F2, 3, 48) (dual of [(24, 3), 6, 49]-NRT-code) | [i] | ||
| 16 | Linear OOA(290, 32, F2, 3, 62) (dual of [(32, 3), 6, 63]-NRT-code) | [i] | ||
| 17 | Linear OOA(2114, 40, F2, 3, 83) (dual of [(40, 3), 6, 84]-NRT-code) | [i] | ||
| 18 | Linear OOA(2186, 64, F2, 3, 132) (dual of [(64, 3), 6, 133]-NRT-code) | [i] | ||
| 19 | Linear OOA(2258, 88, F2, 3, 181) (dual of [(88, 3), 6, 182]-NRT-code) | [i] | ||
| 20 | Linear OOA(290, 24, F2, 4, 69) (dual of [(24, 4), 6, 70]-NRT-code) | [i] | ||
| 21 | Linear OOA(2154, 40, F2, 4, 118) (dual of [(40, 4), 6, 119]-NRT-code) | [i] | ||
| 22 | Linear OOA(2250, 64, F2, 4, 188) (dual of [(64, 4), 6, 189]-NRT-code) | [i] | ||
| 23 | Linear OA(8100, 32784, F8, 20) (dual of [32784, 32684, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 24 | Linear OA(8134, 2097168, F8, 20) (dual of [2097168, 2097034, 21]-code) | [i] | ||
| 25 | Linear OA(895, 32785, F8, 19) (dual of [32785, 32690, 20]-code) | [i] | ||
| 26 | Linear OA(8127, 2097169, F8, 19) (dual of [2097169, 2097042, 20]-code) | [i] | ||
| 27 | Linear OA(890, 32784, F8, 18) (dual of [32784, 32694, 19]-code) | [i] | ||
| 28 | Linear OA(8120, 2097168, F8, 18) (dual of [2097168, 2097048, 19]-code) | [i] | ||
| 29 | Linear OA(874, 85, F8, 53) (dual of [85, 11, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 30 | Linear OA(870, 80, F8, 51) (dual of [80, 10, 52]-code) | [i] | ||
| 31 | Linear OA(8108, 120, F8, 78) (dual of [120, 12, 79]-code) | [i] | Construction X with Varšamov Bound | |
| 32 | Linear OA(8109, 121, F8, 79) (dual of [121, 12, 80]-code) | [i] | ||
| 33 | Linear OA(8110, 122, F8, 80) (dual of [122, 12, 81]-code) | [i] | ||
| 34 | Linear OA(8120, 131, F8, 88) (dual of [131, 11, 89]-code) | [i] | ||
| 35 | Linear OA(8121, 132, F8, 89) (dual of [132, 11, 90]-code) | [i] | ||
| 36 | Linear OA(8122, 132, F8, 91) (dual of [132, 10, 92]-code) | [i] | ||
| 37 | Linear OA(8122, 133, F8, 90) (dual of [133, 11, 91]-code) | [i] | ||
| 38 | Linear OA(8123, 134, F8, 91) (dual of [134, 11, 92]-code) | [i] | ||
| 39 | Linear OA(8124, 136, F8, 91) (dual of [136, 12, 92]-code) | [i] | ||
| 40 | Linear OA(8127, 139, F8, 93) (dual of [139, 12, 94]-code) | [i] | ||
| 41 | Linear OA(8128, 140, F8, 94) (dual of [140, 12, 95]-code) | [i] | ||