Information on Result #1195888
Digital (19, 25, 130418)-net over F25, using net defined by OOA based on linear OOA(2525, 130418, F25, 6, 6) (dual of [(130418, 6), 782483, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2525, 391254, F25, 6) (dual of [391254, 391229, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2525, 391255, F25, 6) (dual of [391255, 391230, 7]-code), using
- (u, u+v)-construction [i] based on
- linear OA(254, 626, F25, 3) (dual of [626, 622, 4]-code or 626-cap in PG(3,25)), using
- linear OA(2521, 390629, F25, 6) (dual of [390629, 390608, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(2521, 390625, F25, 6) (dual of [390625, 390604, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2517, 390625, F25, 5) (dual of [390625, 390608, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2525, 391255, F25, 6) (dual of [391255, 391230, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.