Information on Result #1296922
Linear OA(25666, 1029, F256, 40) (dual of [1029, 963, 41]-code), using construction X applied to AG(F,983P) ⊂ AG(F,986P) based on
- linear OA(25664, 1024, F256, 40) (dual of [1024, 960, 41]-code), using algebraic-geometric code AG(F,983P) [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(25661, 1024, F256, 37) (dual of [1024, 963, 38]-code), using algebraic-geometric code AG(F,986P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), 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.