Information on Result #658498
Linear OA(25668, 306, F256, 44) (dual of [306, 238, 45]-code), using construction X applied to AG(F, Q+42P) ⊂ AG(F, Q+47P) based on
- linear OA(25644, 257, F256, 44) (dual of [257, 213, 45]-code or 257-arc in PG(43,256)), using algebraic-geometric code AG(F,106P) 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(25619, 257, F256, 19) (dual of [257, 238, 20]-code or 257-arc in PG(18,256)), using algebraic-geometric code AG(F, Q+117P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25624, 49, F256, 24) (dual of [49, 25, 25]-code or 49-arc in PG(23,256)), using
- discarding factors / shortening the dual code based on linear OA(25624, 256, F256, 24) (dual of [256, 232, 25]-code or 256-arc in PG(23,256)), using
- Reed–Solomon code RS(232,256) [i]
- discarding factors / shortening the dual code based on linear OA(25624, 256, F256, 24) (dual of [256, 232, 25]-code or 256-arc in PG(23,256)), 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.