Information on Result #671362
Linear OA(12852, 2097305, F128, 15) (dual of [2097305, 2097253, 16]-code), using (u, u+v)-construction based on
- linear OA(1289, 152, F128, 7) (dual of [152, 143, 8]-code), using
- construction X applied to AG(F,141P) ⊂ AG(F,143P) [i] based on
- linear OA(1288, 149, F128, 7) (dual of [149, 141, 8]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1286, 149, F128, 5) (dual of [149, 143, 6]-code), using algebraic-geometric code AG(F,143P) [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,141P) ⊂ AG(F,143P) [i] based on
- linear OA(12843, 2097153, F128, 15) (dual of [2097153, 2097110, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.