Information on Result #665475
Linear OA(2570, 390641, F25, 15) (dual of [390641, 390571, 16]-code), using generalized (u, u+v)-construction based on
- linear OA(253, 5, F25, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,25) or 5-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- linear OA(255, 5, F25, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,25)), using
- linear OA(255, 5, F25, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,25)) (see above)
- linear OA(2557, 390626, F25, 15) (dual of [390626, 390569, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.