Information on Result #1296929
Linear OA(25666, 1031, F256, 39) (dual of [1031, 965, 40]-code), using construction X applied to AG(F,984P) ⊂ AG(F,988P) based on
- linear OA(25663, 1024, F256, 39) (dual of [1024, 961, 40]-code), using algebraic-geometric code AG(F,984P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
- K1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OA(25659, 1024, F256, 35) (dual of [1024, 965, 36]-code), using algebraic-geometric code AG(F,988P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025 (see above)
- linear OA(2563, 7, F256, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,256) or 7-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
Mode: 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.