Information on Result #665463
Linear OA(2571, 15644, F25, 19) (dual of [15644, 15573, 20]-code), using generalized (u, u+v)-construction based on
- linear OA(254, 6, F25, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)), using
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)) (see above)
- linear OA(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, 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.