Information on Result #665722
Linear OA(2561, 15640, F25, 17) (dual of [15640, 15579, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(255, 7, F25, 5) (dual of [7, 2, 6]-code or 7-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, 7, F25, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,25)), using
- linear OA(2549, 15626, F25, 17) (dual of [15626, 15577, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, 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.