Information on Result #1191978
Digital (54, 71, 4096)-net over F8, using net defined by OOA based on linear OOA(871, 4096, F8, 17, 17) (dual of [(4096, 17), 69561, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
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 (55, 71, 4096)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (55, 72, 4096)-net over F8 | [i] | Net Duplication | |
| 3 | Digital (62, 79, 4105)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (63, 80, 4110)-net over F8 | [i] | ||
| 5 | Digital (64, 81, 4113)-net over F8 | [i] | ||
| 6 | Digital (65, 82, 4120)-net over F8 | [i] | ||
| 7 | Digital (66, 83, 4121)-net over F8 | [i] | ||
| 8 | Digital (67, 84, 4124)-net over F8 | [i] | ||