Information on Result #658168
Linear OA(25640, 284, F256, 27) (dual of [284, 244, 28]-code), using construction X applied to AG(F, Q+113P) ⊂ AG(F, Q+120P) based on
- linear OA(25627, 257, F256, 27) (dual of [257, 230, 28]-code or 257-arc in PG(26,256)), using algebraic-geometric code AG(F, Q+113P) 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(25613, 257, F256, 13) (dual of [257, 244, 14]-code or 257-arc in PG(12,256)), using algebraic-geometric code AG(F, Q+120P) 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(25613, 27, F256, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,256)), using
- discarding factors / shortening the dual code based on linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), using
- Reed–Solomon code RS(243,256) [i]
- discarding factors / shortening the dual code based on linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), 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.