Information on Result #665478
Linear OA(2540, 15638, F25, 11) (dual of [15638, 15598, 12]-code), using generalized (u, u+v)-construction based on
- linear OA(252, 4, F25, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- linear OA(253, 4, F25, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,25) or 4-cap in PG(2,25)), using
- dual of repetition code with length 4 [i]
- linear OA(254, 4, F25, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,25)), using
- linear OA(2531, 15626, F25, 11) (dual of [15626, 15595, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.