Information on Result #1296898
Linear OA(25663, 543, F256, 40) (dual of [543, 480, 41]-code), using construction X applied to AG(F,471P) ⊂ AG(F,487P) based on
- linear OA(25648, 512, F256, 40) (dual of [512, 464, 41]-code), using algebraic-geometric code AG(F,471P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OA(25632, 512, F256, 24) (dual of [512, 480, 25]-code), using algebraic-geometric code AG(F,487P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(25615, 31, F256, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,256)), using
- discarding factors / shortening the dual code based on linear OA(25615, 256, F256, 15) (dual of [256, 241, 16]-code or 256-arc in PG(14,256)), using
- Reed–Solomon code RS(241,256) [i]
- discarding factors / shortening the dual code based on linear OA(25615, 256, F256, 15) (dual of [256, 241, 16]-code or 256-arc in PG(14,256)), 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.