Information on Result #671329
Linear OA(12859, 2097305, F128, 17) (dual of [2097305, 2097246, 18]-code), using (u, u+v)-construction based on
- linear OA(12810, 152, F128, 8) (dual of [152, 142, 9]-code), using
- construction X applied to AG(F,140P) ⊂ AG(F,142P) [i] based on
- linear OA(1289, 149, F128, 8) (dual of [149, 140, 9]-code), using algebraic-geometric code AG(F,140P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1287, 149, F128, 6) (dual of [149, 142, 7]-code), using algebraic-geometric code AG(F,142P) [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,140P) ⊂ AG(F,142P) [i] based on
- linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.