Information on Result #1295550
Linear OA(8182, 506, F81, 53) (dual of [506, 424, 54]-code), using construction X applied to AG(F,445P) ⊂ AG(F,449P) based on
- linear OA(8179, 499, F81, 53) (dual of [499, 420, 54]-code), using algebraic-geometric code AG(F,445P) [i] based on function field F/F81 with g(F) = 26 and N(F) ≥ 500, using
- linear OA(8175, 499, F81, 49) (dual of [499, 424, 50]-code), using algebraic-geometric code AG(F,449P) [i] based on function field F/F81 with g(F) = 26 and N(F) ≥ 500 (see above)
- linear OA(813, 7, F81, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,81) or 7-cap in PG(2,81)), using
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- Reed–Solomon code RS(78,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
Mode: 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.