Information on Result #665477
Linear OA(2565, 390640, F25, 14) (dual of [390640, 390575, 15]-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(254, 5, F25, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,25)), using
- dual of repetition code with length 5 [i]
- linear OA(255, 5, F25, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,25)), using
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.