Information on Result #1195920
Digital (19, 26, 130211)-net over F25, using net defined by OOA based on linear OOA(2526, 130211, F25, 7, 7) (dual of [(130211, 7), 911451, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2526, 390634, F25, 7) (dual of [390634, 390608, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, 390635, F25, 7) (dual of [390635, 390609, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(2525, 390626, F25, 7) (dual of [390626, 390601, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(2517, 390626, F25, 5) (dual of [390626, 390609, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2526, 390635, F25, 7) (dual of [390635, 390609, 8]-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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Digital (78, 92, 1328582)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
2 | Digital (82, 97, 1328582)-net over F25 | [i] |