Information on Result #2277934
Linear OA(5123, 273, F5, 46) (dual of [273, 150, 47]-code), using 1 times code embedding in larger space based on linear OA(5122, 272, F5, 46) (dual of [272, 150, 47]-code), using
- trace code [i] based on linear OA(2561, 136, F25, 46) (dual of [136, 75, 47]-code), using
- construction X applied to AG(F,78P) ⊂ AG(F,84P) [i] based on
- linear OA(2556, 125, F25, 46) (dual of [125, 69, 47]-code), using algebraic-geometric code AG(F,78P) [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(2550, 125, F25, 40) (dual of [125, 75, 41]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OA(255, 11, F25, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- linear OA(2556, 125, F25, 46) (dual of [125, 69, 47]-code), using algebraic-geometric code AG(F,78P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(F,78P) ⊂ AG(F,84P) [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.