Information on Result #1821860
OA(8148, 600, S8, 48), using trace code based on OA(6474, 300, S64, 48), using
- discarding parts of the base [i] based on linear OA(12863, 300, F128, 48) (dual of [300, 237, 49]-code), using
- construction X applied to AG(F,238P) ⊂ AG(F,245P) [i] based on
- linear OA(12857, 287, F128, 48) (dual of [287, 230, 49]-code), using algebraic-geometric code AG(F,238P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12850, 287, F128, 41) (dual of [287, 237, 42]-code), using algebraic-geometric code AG(F,245P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1286, 13, F128, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- construction X applied to AG(F,238P) ⊂ AG(F,245P) [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(8149, 601, S8, 48) | [i] | Code Embedding in Larger Space | |