Information on Result #670618
Linear OA(12872, 16412, F128, 25) (dual of [16412, 16340, 26]-code), using generalized (u, u+v)-construction based on
- linear OA(1286, 9, F128, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- linear OA(1288, 9, F128, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,128)), using
- dual of repetition code with length 9 [i]
- linear OA(1289, 9, F128, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,128)), using
- linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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.