Information on Result #665471
Linear OA(2585, 390643, F25, 18) (dual of [390643, 390558, 19]-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(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, 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.