Information on Result #658223
Linear OA(25668, 308, F256, 43) (dual of [308, 240, 44]-code), using construction X applied to AG(F, Q+105P) ⊂ AG(F, Q+118P) 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(25617, 257, F256, 17) (dual of [257, 240, 18]-code or 257-arc in PG(16,256)), using algebraic-geometric code AG(F, Q+118P) 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(25625, 51, F256, 25) (dual of [51, 26, 26]-code or 51-arc in PG(24,256)), using
- discarding factors / shortening the dual code based on linear OA(25625, 256, F256, 25) (dual of [256, 231, 26]-code or 256-arc in PG(24,256)), using
- Reed–Solomon code RS(231,256) [i]
- discarding factors / shortening the dual code based on linear OA(25625, 256, F256, 25) (dual of [256, 231, 26]-code or 256-arc in PG(24,256)), 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.