Information on Result #1200460
Digital (32, 41, 2097150)-net over F49, using net defined by OOA based on linear OOA(4941, 2097150, F49, 9, 9) (dual of [(2097150, 9), 18874309, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(4941, 8388601, F49, 9) (dual of [8388601, 8388560, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 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 (33, 42, 2097150)-net over F49 | [i] | Net Duplication | |
| 2 | Digital (34, 43, 2097150)-net over F49 | [i] | ||
| 3 | Digital (35, 44, 2097150)-net over F49 | [i] | ||
| 4 | Digital (36, 45, 2097200)-net over F49 | [i] | (u, u+v)-Construction for Nets | |