Information on Result #665443
Linear OA(2565, 650, F25, 23) (dual of [650, 585, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(255, 8, F25, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- linear OA(257, 8, F25, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,25)), using
- dual of repetition code with length 8 [i]
- linear OA(258, 8, F25, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,25)), using
- linear OA(2545, 626, F25, 23) (dual of [626, 581, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, 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.