Information on Result #658204
Linear OA(25660, 296, F256, 41) (dual of [296, 236, 42]-code), using construction X applied to AG(F, Q+106P) ⊂ AG(F, Q+116P) based on
- linear OA(25641, 257, F256, 41) (dual of [257, 216, 42]-code or 257-arc in PG(40,256)), using algebraic-geometric code AG(F, Q+106P) with degQ = 3 and 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(25621, 257, F256, 21) (dual of [257, 236, 22]-code or 257-arc in PG(20,256)), using algebraic-geometric code AG(F, Q+116P) 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(25619, 39, F256, 19) (dual of [39, 20, 20]-code or 39-arc in PG(18,256)), using
- discarding factors / shortening the dual code based on linear OA(25619, 256, F256, 19) (dual of [256, 237, 20]-code or 256-arc in PG(18,256)), using
- Reed–Solomon code RS(237,256) [i]
- discarding factors / shortening the dual code based on linear OA(25619, 256, F256, 19) (dual of [256, 237, 20]-code or 256-arc in PG(18,256)), 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.