Information on Result #657947
Linear OA(25651, 296, F256, 32) (dual of [296, 245, 33]-code), using construction X applied to AG(F,112P) ⊂ AG(F,122P) based on
- linear OA(25632, 257, F256, 32) (dual of [257, 225, 33]-code or 257-arc in PG(31,256)), using algebraic-geometric code AG(F,112P) 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(25612, 257, F256, 12) (dual of [257, 245, 13]-code or 257-arc in PG(11,256)), using algebraic-geometric code AG(F,122P) with 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.