Information on Result #1201770
Digital (60, 81, 838860)-net over F64, using net defined by OOA based on linear OOA(6481, 838860, F64, 21, 21) (dual of [(838860, 21), 17615979, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6481, 8388601, F64, 21) (dual of [8388601, 8388520, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-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 (61, 81, 838860)-net over F64 | [i] | t-Expansion | |
| 2 | Digital (61, 82, 838860)-net over F64 | [i] | Net Duplication | |
| 3 | Digital (62, 83, 838860)-net over F64 | [i] | ||
| 4 | Digital (63, 84, 838860)-net over F64 | [i] | ||
| 5 | Digital (64, 85, 838860)-net over F64 | [i] | ||
| 6 | Digital (65, 86, 838860)-net over F64 | [i] | ||
| 7 | Digital (66, 87, 838860)-net over F64 | [i] | ||
| 8 | Digital (67, 88, 838860)-net over F64 | [i] | ||
| 9 | Digital (68, 89, 838860)-net over F64 | [i] | ||
| 10 | Digital (69, 90, 838860)-net over F64 | [i] | ||
| 11 | Digital (60, 80, 838860)-net over F64 | [i] | m-Reduction | |
| 12 | Digital (222, 243, 2516580)-net over F4 | [i] | Trace Code for Nets | |
| 13 | Digital (70, 91, 838925)-net over F64 | [i] | (u, u+v)-Construction for Nets | |