Information on Result #1821841
OA(8140, 388, S8, 56), using trace code based on OA(6470, 194, S64, 56), using
- discarding parts of the base [i] based on linear OA(12860, 194, F128, 56) (dual of [194, 134, 57]-code), using
- construction X applied to AG(F,134P) ⊂ AG(F,136P) [i] based on
- linear OA(12859, 191, F128, 56) (dual of [191, 132, 57]-code), using algebraic-geometric code AG(F,134P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12857, 191, F128, 54) (dual of [191, 134, 55]-code), using algebraic-geometric code AG(F,136P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,134P) ⊂ AG(F,136P) [i] based on
Mode: Constructive.
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(8141, 389, S8, 56) | [i] | Code Embedding in Larger Space | |
| 2 | OA(8142, 390, S8, 56) | [i] | ||
| 3 | OA(8143, 391, S8, 56) | [i] | ||