Information on Result #657948
Linear OA(25649, 296, F256, 30) (dual of [296, 247, 31]-code), using construction X applied to AG(F,113P) ⊂ AG(F,123P) based on
- linear OA(25630, 257, F256, 30) (dual of [257, 227, 31]-code or 257-arc in PG(29,256)), using algebraic-geometric code AG(F,113P) 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(25610, 257, F256, 10) (dual of [257, 247, 11]-code or 257-arc in PG(9,256)), using algebraic-geometric code AG(F,123P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25619, 39, F256, 19) (dual of [39, 20, 20]-code or 39-arc in PG(18,256)), using
- discarding factors / shortening the dual code based on linear OA(25619, 256, F256, 19) (dual of [256, 237, 20]-code or 256-arc in PG(18,256)), using
- Reed–Solomon code RS(237,256) [i]
- discarding factors / shortening the dual code based on linear OA(25619, 256, F256, 19) (dual of [256, 237, 20]-code or 256-arc in PG(18,256)), using
Mode: Constructive and linear.
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.