Information on Result #665405
Linear OA(2588, 15650, F25, 23) (dual of [15650, 15562, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(254, 6, F25, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- linear OA(255, 6, F25, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,25)), using
- dual of repetition code with length 6 [i]
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)), using
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)) (see above)
- linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.