Information on Result #665697
Linear OA(2551, 642, F25, 19) (dual of [642, 591, 20]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(256, 8, F25, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- linear OA(258, 8, F25, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,25)), using
- linear OA(2537, 626, F25, 19) (dual of [626, 589, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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.