Information on Result #670743
Linear OA(12866, 16687, F128, 23) (dual of [16687, 16621, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1288, 150, F128, 7) (dual of [150, 142, 8]-code), using
- extended algebraic-geometric code AGe(F,142P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12813, 152, F128, 11) (dual of [152, 139, 12]-code), using
- construction X applied to AG(F,137P) ⊂ AG(F,139P) [i] based on
- linear OA(12812, 149, F128, 11) (dual of [149, 137, 12]-code), using algebraic-geometric code AG(F,137P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(12810, 149, F128, 9) (dual of [149, 139, 10]-code), using algebraic-geometric code AG(F,139P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,137P) ⊂ AG(F,139P) [i] based on
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, 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.