Information on Result #1821889
OA(8152, 584, S8, 54), using trace code based on OA(6476, 292, S64, 54), using
- discarding parts of the base [i] based on linear OA(12865, 292, F128, 54) (dual of [292, 227, 55]-code), using
- construction X applied to AG(F,232P) ⊂ AG(F,235P) [i] based on
- linear OA(12863, 287, F128, 54) (dual of [287, 224, 55]-code), using algebraic-geometric code AG(F,232P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12860, 287, F128, 51) (dual of [287, 227, 52]-code), using algebraic-geometric code AG(F,235P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1282, 5, F128, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to AG(F,232P) ⊂ AG(F,235P) [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(8153, 585, S8, 54) | [i] | Code Embedding in Larger Space | |