Information on Result #2293110
OA(8153, 605, S8, 49), using 1 times code embedding in larger space based on OA(8152, 604, S8, 49), using
- trace code [i] based on OA(6476, 302, S64, 49), using
- discarding parts of the base [i] based on linear OA(12865, 302, F128, 49) (dual of [302, 237, 50]-code), using
- construction X applied to AG(F,237P) ⊂ AG(F,245P) [i] based on
- linear OA(12858, 287, F128, 49) (dual of [287, 229, 50]-code), using algebraic-geometric code AG(F,237P) [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(1287, 15, F128, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to AG(F,237P) ⊂ AG(F,245P) [i] based on
- discarding parts of the base [i] based on linear OA(12865, 302, F128, 49) (dual of [302, 237, 50]-code), using
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
None.