Information on Result #2277917
Linear OA(5123, 277, F5, 45) (dual of [277, 154, 46]-code), using 1 times code embedding in larger space based on linear OA(5122, 276, F5, 45) (dual of [276, 154, 46]-code), using
- trace code [i] based on linear OA(2561, 138, F25, 45) (dual of [138, 77, 46]-code), using
- construction X applied to AG(F,79P) ⊂ AG(F,86P) [i] based on
- linear OA(2555, 125, F25, 45) (dual of [125, 70, 46]-code), using algebraic-geometric code AG(F,79P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OA(2548, 125, F25, 38) (dual of [125, 77, 39]-code), using algebraic-geometric code AG(F,86P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OA(256, 13, F25, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- linear OA(2555, 125, F25, 45) (dual of [125, 70, 46]-code), using algebraic-geometric code AG(F,79P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(F,79P) ⊂ AG(F,86P) [i] based on
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.