Information on Result #665709
Linear OA(2549, 641, F25, 18) (dual of [641, 592, 19]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(256, 8, F25, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- linear OA(258, 8, F25, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,25)), using
- linear OA(2535, 625, F25, 18) (dual of [625, 590, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.