Information on Result #665676
Linear OA(2597, 390644, F25, 21) (dual of [390644, 390547, 22]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(257, 9, F25, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- linear OA(259, 9, F25, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,25)), using
- linear OA(2581, 390626, F25, 21) (dual of [390626, 390545, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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.