Information on Result #1188070
Digital (25, 30, 39070)-net over F5, using net defined by OOA based on linear OOA(530, 39070, F5, 5, 5) (dual of [(39070, 5), 195320, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(530, 78141, F5, 5) (dual of [78141, 78111, 6]-code), using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
- linear OA(529, 78126, F5, 5) (dual of [78126, 78097, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(515, 78126, F5, 3) (dual of [78126, 78111, 4]-code or 78126-cap in PG(14,5)), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(51, 15, F5, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
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 (112, 122, 3394510)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (121, 132, 3394510)-net over F5 | [i] | ||