Information on Result #670322
Linear OA(8181, 531560, F81, 23) (dual of [531560, 531479, 24]-code), using (u, u+v)-construction based on
- linear OA(8114, 118, F81, 11) (dual of [118, 104, 12]-code), using
- construction X applied to AG(F,103P) ⊂ AG(F,105P) [i] based on
- linear OA(8113, 115, F81, 11) (dual of [115, 102, 12]-code), using algebraic-geometric code AG(F,103P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8111, 115, F81, 9) (dual of [115, 104, 10]-code), using algebraic-geometric code AG(F,105P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,103P) ⊂ AG(F,105P) [i] based on
- linear OA(8167, 531442, F81, 23) (dual of [531442, 531375, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, 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.