Information on Result #797351
Digital (5, 10, 100)-net over F7, using trace code for nets based on digital (0, 5, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [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 (5, 9, 100)-net over F7 | [i] | m-Reduction | |
| 2 | Digital (7, 12, 108)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (20, 30, 200)-net over F7 | [i] | ||
| 4 | Digital (74, 84, 2306022)-net over F7 | [i] | ||
| 5 | Digital (92, 102, 3355540)-net over F7 | [i] | ||
| 6 | Digital (21, 32, 200)-net over F7 | [i] | ||
| 7 | Digital (23, 34, 202)-net over F7 | [i] | ||
| 8 | Digital (81, 92, 2306020)-net over F7 | [i] | ||
| 9 | Digital (47, 64, 308)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 10 | Digital (48, 65, 313)-net over F7 | [i] | ||
| 11 | Digital (24, 35, 208)-net over F7 | [i] | ||
| 12 | Digital (25, 36, 250)-net over F7 | [i] | ||
| 13 | Linear OOA(710, 100, F7, 2, 5) (dual of [(100, 2), 190, 6]-NRT-code) | [i] | Extracting Embedded OOA | |
| 14 | Linear OOA(710, 100, F7, 3, 5) (dual of [(100, 3), 290, 6]-NRT-code) | [i] | ||