Information on Result #655113
Linear OA(8124, 176, F81, 15) (dual of [176, 152, 16]-code), using construction X applied to AG(F,155P) ⊂ AG(F,158P) based on
- linear OA(8122, 171, F81, 15) (dual of [171, 149, 16]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8119, 171, F81, 12) (dual of [171, 152, 13]-code), using algebraic-geometric code AG(F,158P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OA(812, 5, F81, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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.