Information on Result #1822172
OA(12875, 552, S128, 40), using (u, u+v)-construction based on
- OA(12824, 260, S128, 20), using
- discarding parts of the base [i] based on linear OA(25621, 260, F256, 20) (dual of [260, 239, 21]-code), using
- construction X applied to AG(F,118P) ⊂ AG(F,119P) [i] based on
- linear OA(25620, 257, F256, 20) (dual of [257, 237, 21]-code or 257-arc in PG(19,256)), using algebraic-geometric code AG(F,118P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- linear OA(25618, 257, F256, 18) (dual of [257, 239, 19]-code or 257-arc in PG(17,256)), using algebraic-geometric code AG(F,119P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,118P) ⊂ AG(F,119P) [i] based on
- discarding parts of the base [i] based on linear OA(25621, 260, F256, 20) (dual of [260, 239, 21]-code), using
- linear OA(12851, 292, F128, 40) (dual of [292, 241, 41]-code), using
- construction X applied to AG(F,246P) ⊂ AG(F,249P) [i] based on
- linear OA(12849, 287, F128, 40) (dual of [287, 238, 41]-code), using algebraic-geometric code AG(F,246P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12846, 287, F128, 37) (dual of [287, 241, 38]-code), using algebraic-geometric code AG(F,249P) [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,246P) ⊂ AG(F,249P) [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
None.