Information on Result #1821851
OA(8146, 588, S8, 50), using trace code based on OA(6473, 294, S64, 50), using
- discarding parts of the base [i] based on linear OA(12862, 294, F128, 50) (dual of [294, 232, 51]-code), using
- construction X applied to AG(F,236P) ⊂ AG(F,240P) [i] based on
- linear OA(12859, 287, F128, 50) (dual of [287, 228, 51]-code), using algebraic-geometric code AG(F,236P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12855, 287, F128, 46) (dual of [287, 232, 47]-code), using algebraic-geometric code AG(F,240P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1283, 7, F128, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,128) or 7-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to AG(F,236P) ⊂ AG(F,240P) [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(8147, 589, S8, 50) | [i] | Code Embedding in Larger Space | |