Information on Result #671128
Linear OA(12875, 16579, F128, 29) (dual of [16579, 16504, 30]-code), using (u, u+v)-construction based on
- linear OA(12818, 194, F128, 14) (dual of [194, 176, 15]-code), using
- construction X applied to AG(F,176P) ⊂ AG(F,178P) [i] based on
- linear OA(12817, 191, F128, 14) (dual of [191, 174, 15]-code), using algebraic-geometric code AG(F,176P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12815, 191, F128, 12) (dual of [191, 176, 13]-code), using algebraic-geometric code AG(F,178P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (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,176P) ⊂ AG(F,178P) [i] based on
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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.