Information on Result #1196006
Digital (9, 18, 157)-net over F25, using net defined by OOA based on linear OOA(2518, 157, F25, 9, 9) (dual of [(157, 9), 1395, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(2518, 629, F25, 9) (dual of [629, 611, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2518, 631, F25, 9) (dual of [631, 613, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(2517, 626, F25, 9) (dual of [626, 609, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(2513, 626, F25, 7) (dual of [626, 613, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 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([0,4]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2518, 631, F25, 9) (dual of [631, 613, 10]-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 (86, 104, 932224)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (90, 109, 932223)-net over F25 | [i] | ||