Information on Result #796809
Digital (13, 26, 52)-net over F5, using trace code for nets based on digital (0, 13, 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 (13, 25, 52)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (72, 98, 304)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (73, 100, 304)-net over F5 | [i] | ||
| 4 | Linear OOA(526, 52, F5, 2, 13) (dual of [(52, 2), 78, 14]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(526, 52, F5, 3, 13) (dual of [(52, 3), 130, 14]-NRT-code) | [i] | ||