Information on Result #792667
Digital (12, 22, 32)-net over F3, using trace code for nets based on digital (1, 11, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
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 (12, 21, 32)-net over F3 | [i] | m-Reduction | |
| 2 | Digital (198, 218, 838892)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (211, 232, 838892)-net over F3 | [i] | ||
| 4 | Linear OOA(322, 32, F3, 2, 10) (dual of [(32, 2), 42, 11]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(322, 32, F3, 3, 10) (dual of [(32, 3), 74, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(322, 32, F3, 4, 10) (dual of [(32, 4), 106, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(322, 32, F3, 5, 10) (dual of [(32, 5), 138, 11]-NRT-code) | [i] | ||