Information on Result #665510
Linear OA(2596, 653, F25, 37) (dual of [653, 557, 38]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2512, 14, F25, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,25)), using
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- Reed–Solomon code RS(13,25) [i]
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- linear OA(2514, 14, F25, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,25)), using
- linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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.