Information on Result #796796
Digital (11, 22, 52)-net over F5, using trace code for nets based on digital (0, 11, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(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 (11, 21, 52)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (16, 27, 58)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (64, 86, 304)-net over F5 | [i] | ||
| 4 | Digital (65, 88, 304)-net over F5 | [i] | ||
| 5 | Digital (25, 36, 144)-net over F5 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 6 | Digital (26, 37, 156)-net over F5 | [i] | ||
| 7 | Linear OOA(522, 52, F5, 2, 11) (dual of [(52, 2), 82, 12]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(522, 52, F5, 3, 11) (dual of [(52, 3), 134, 12]-NRT-code) | [i] | ||