Information on Result #666169
Linear OA(2585, 15698, F25, 23) (dual of [15698, 15613, 24]-code), using (u, u+v)-construction based on
- linear OA(2518, 72, F25, 11) (dual of [72, 54, 12]-code), using
- construction X applied to AG(F,53P) ⊂ AG(F,57P) [i] based on
- linear OA(2515, 65, F25, 11) (dual of [65, 50, 12]-code), using algebraic-geometric code AG(F,53P) [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(253, 7, F25, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,25) or 7-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to AG(F,53P) ⊂ AG(F,57P) [i] based on
- linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.