Information on Result #657931
Linear OA(25659, 292, F256, 42) (dual of [292, 233, 43]-code), using construction X applied to AG(F,107P) ⊂ AG(F,116P) 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(25624, 257, F256, 24) (dual of [257, 233, 25]-code or 257-arc in PG(23,256)), using algebraic-geometric code AG(F,116P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25617, 35, F256, 17) (dual of [35, 18, 18]-code or 35-arc in PG(16,256)), using
- discarding factors / shortening the dual code based on linear OA(25617, 256, F256, 17) (dual of [256, 239, 18]-code or 256-arc in PG(16,256)), using
- Reed–Solomon code RS(239,256) [i]
- discarding factors / shortening the dual code based on linear OA(25617, 256, F256, 17) (dual of [256, 239, 18]-code or 256-arc in PG(16,256)), 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.