Information on Result #658444
Linear OA(25662, 298, F256, 42) (dual of [298, 236, 43]-code), using construction X applied to AG(F, Q+70P) ⊂ AG(F, Q+77P) based on
- linear OA(25642, 257, F256, 42) (dual of [257, 215, 43]-code or 257-arc in PG(41,256)), using algebraic-geometric code AG(F,107P) 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(25621, 257, F256, 21) (dual of [257, 236, 22]-code or 257-arc in PG(20,256)), using algebraic-geometric code AG(F, Q+116P) 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(25620, 41, F256, 20) (dual of [41, 21, 21]-code or 41-arc in PG(19,256)), using
- discarding factors / shortening the dual code based on linear OA(25620, 256, F256, 20) (dual of [256, 236, 21]-code or 256-arc in PG(19,256)), using
- Reed–Solomon code RS(236,256) [i]
- discarding factors / shortening the dual code based on linear OA(25620, 256, F256, 20) (dual of [256, 236, 21]-code or 256-arc in PG(19,256)), 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.