Information on Result #797684
Digital (29, 58, 100)-net over F7, using trace code for nets based on digital (0, 29, 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 (29, 57, 100)-net over F7 | [i] | m-Reduction | |
| 2 | Digital (56, 85, 150)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (57, 86, 200)-net over F7 | [i] | ||
| 4 | Digital (67, 96, 213)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 5 | Digital (69, 98, 214)-net over F7 | [i] | ||
| 6 | Linear OOA(758, 100, F7, 2, 29) (dual of [(100, 2), 142, 30]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(758, 100, F7, 3, 29) (dual of [(100, 3), 242, 30]-NRT-code) | [i] | ||