Information on Result #658285
Linear OA(25657, 286, F256, 43) (dual of [286, 229, 44]-code), using construction X applied to AG(F,71P) ⊂ AG(F,76P) based on
- linear OA(25643, 257, F256, 43) (dual of [257, 214, 44]-code or 257-arc in PG(42,256)), using algebraic-geometric code AG(F, Q+105P) 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(25628, 257, F256, 28) (dual of [257, 229, 29]-code or 257-arc in PG(27,256)), using algebraic-geometric code AG(F,114P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25614, 29, F256, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,256)), using
- discarding factors / shortening the dual code based on linear OA(25614, 256, F256, 14) (dual of [256, 242, 15]-code or 256-arc in PG(13,256)), using
- Reed–Solomon code RS(242,256) [i]
- discarding factors / shortening the dual code based on linear OA(25614, 256, F256, 14) (dual of [256, 242, 15]-code or 256-arc in PG(13,256)), 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.