Information on Result #1296887
Linear OA(25664, 541, F256, 42) (dual of [541, 477, 43]-code), using construction X applied to AG(F,469P) ⊂ AG(F,484P) based on
- linear OA(25650, 512, F256, 42) (dual of [512, 462, 43]-code), using algebraic-geometric code AG(F,469P) [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(25635, 512, F256, 27) (dual of [512, 477, 28]-code), using algebraic-geometric code AG(F,484P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(25614, 29, F256, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,256)), using
- discarding factors / shortening the dual code based on linear OA(25614, 256, F256, 14) (dual of [256, 242, 15]-code or 256-arc in PG(13,256)), using
- Reed–Solomon code RS(242,256) [i]
- discarding factors / shortening the dual code based on linear OA(25614, 256, F256, 14) (dual of [256, 242, 15]-code or 256-arc in PG(13,256)), 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.