Information on Result #661784
Linear OA(25106, 229, F25, 66) (dual of [229, 123, 67]-code), using construction XX applied to AG(F,132P) ⊂ AG(F,146P) ⊂ AG(F,147P) based on
- linear OA(2591, 199, F25, 66) (dual of [199, 108, 67]-code), using algebraic-geometric code AG(F,132P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2577, 199, F25, 52) (dual of [199, 122, 53]-code), using algebraic-geometric code AG(F,146P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2576, 199, F25, 51) (dual of [199, 123, 52]-code), using algebraic-geometric code AG(F,147P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2514, 29, F25, 13) (dual of [29, 15, 14]-code), using
- construction X applied to AG(F,6P) ⊂ AG(F,7P) [i] based on
- linear OA(2513, 26, F25, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)), using algebraic-geometric code AG(F,6P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)), using algebraic-geometric code AG(F,7P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- 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 AG(F,6P) ⊂ AG(F,7P) [i] based on
- linear OA(250, 1, F25, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.