Information on Result #2293876
OA(2766, 178, S27, 39), using 2 times code embedding in larger space based on OA(2764, 176, S27, 39), using
- discarding parts of the base [i] based on linear OA(8148, 176, F81, 39) (dual of [176, 128, 40]-code), using
- construction X applied to AG(F,131P) ⊂ AG(F,134P) [i] based on
- linear OA(8146, 171, F81, 39) (dual of [171, 125, 40]-code), using algebraic-geometric code AG(F,131P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8143, 171, F81, 36) (dual of [171, 128, 37]-code), using algebraic-geometric code AG(F,134P) [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
- construction X applied to AG(F,131P) ⊂ AG(F,134P) [i] based on
Mode: Constructive.
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.