Information on Result #1821936
OA(8166, 592, S8, 58), using trace code based on OA(6483, 296, S64, 58), using
- discarding parts of the base [i] based on linear OA(12871, 296, F128, 58) (dual of [296, 225, 59]-code), using
- construction X applied to AG(F,228P) ⊂ AG(F,233P) [i] based on
- linear OA(12867, 287, F128, 58) (dual of [287, 220, 59]-code), using algebraic-geometric code AG(F,228P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12862, 287, F128, 53) (dual of [287, 225, 54]-code), using algebraic-geometric code AG(F,233P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1284, 9, F128, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- construction X applied to AG(F,228P) ⊂ AG(F,233P) [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(8167, 593, S8, 58) | [i] | Code Embedding in Larger Space | |