Information on Result #658186
Linear OA(25640, 288, F256, 25) (dual of [288, 248, 26]-code), using construction X applied to AG(F, Q+114P) ⊂ AG(F, Q+122P) based on
- linear OA(25625, 257, F256, 25) (dual of [257, 232, 26]-code or 257-arc in PG(24,256)), using algebraic-geometric code AG(F, Q+114P) 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(2569, 257, F256, 9) (dual of [257, 248, 10]-code or 257-arc in PG(8,256)), using algebraic-geometric code AG(F, Q+122P) 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(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: 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.