Information on Result #659588
Linear OA(4256, 1064, F4, 60) (dual of [1064, 808, 61]-code), using trace code based on linear OA(25664, 266, F256, 60) (dual of [266, 202, 61]-code), using
- construction X applied to AG(F, Q+38P) ⊂ AG(F, Q+39P) [i] based on
- linear OA(25660, 257, F256, 60) (dual of [257, 197, 61]-code or 257-arc in PG(59,256)), using algebraic-geometric code AG(F,98P) 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(25655, 257, F256, 55) (dual of [257, 202, 56]-code or 257-arc in PG(54,256)), using algebraic-geometric code AG(F, Q+99P) 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(2564, 9, F256, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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.