Information on Result #666281
Linear OA(2569, 15694, F25, 19) (dual of [15694, 15625, 20]-code), using (u, u+v)-construction based on
- linear OA(2514, 68, F25, 9) (dual of [68, 54, 10]-code), using
- construction X applied to AG(F,55P) ⊂ AG(F,57P) [i] based on
- linear OA(2513, 65, F25, 9) (dual of [65, 52, 10]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2511, 65, F25, 7) (dual of [65, 54, 8]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (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,55P) ⊂ AG(F,57P) [i] based on
- linear OA(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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.