Information on Result #647558
Linear OA(2596, 227, F25, 57) (dual of [227, 131, 58]-code), using construction X applied to AG(F,141P) ⊂ AG(F,155P) based on
- linear OA(2582, 199, F25, 57) (dual of [199, 117, 58]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2568, 199, F25, 43) (dual of [199, 131, 44]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2514, 28, F25, 13) (dual of [28, 14, 14]-code), using
- construction X applied to RS(12,25) ⊂ RS(14,25) [i] based on
- linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using Reed–Solomon code RS(12,25) [i]
- linear OA(2511, 25, F25, 11) (dual of [25, 14, 12]-code or 25-arc in PG(10,25)), using Reed–Solomon code RS(14,25) [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to RS(12,25) ⊂ RS(14,25) [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.