Information on Result #665497
Linear OA(25108, 663, F25, 40) (dual of [663, 555, 41]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2513, 19, F25, 13) (dual of [19, 6, 14]-code or 19-arc in PG(12,25)), using
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- Reed–Solomon code RS(12,25) [i]
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- linear OA(2519, 19, F25, 19) (dual of [19, 0, 20]-code or 19-arc in PG(18,25)), using
- linear OA(2576, 625, F25, 40) (dual of [625, 549, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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.