Information on Result #797646
Digital (27, 54, 100)-net over F7, using trace code for nets based on digital (0, 27, 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 (27, 53, 100)-net over F7 | [i] | m-Reduction | |
| 2 | Digital (46, 73, 120)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (51, 78, 126)-net over F7 | [i] | ||
| 4 | Digital (52, 79, 150)-net over F7 | [i] | ||
| 5 | Digital (53, 80, 200)-net over F7 | [i] | ||
| 6 | Digital (63, 90, 213)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 7 | Digital (65, 92, 214)-net over F7 | [i] | ||
| 8 | Digital (66, 93, 216)-net over F7 | [i] | ||
| 9 | Digital (67, 94, 221)-net over F7 | [i] | ||
| 10 | Linear OOA(754, 100, F7, 2, 27) (dual of [(100, 2), 146, 28]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(754, 100, F7, 3, 27) (dual of [(100, 3), 246, 28]-NRT-code) | [i] | ||