Information on Result #793723
Digital (20, 30, 84)-net over F3, using trace code for nets based on digital (0, 10, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(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 (21, 31, 84)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (20, 29, 84)-net over F3 | [i] | m-Reduction | |
| 3 | Digital (206, 226, 838944)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (219, 240, 838944)-net over F3 | [i] | ||
| 5 | Linear OOA(330, 84, F3, 2, 10) (dual of [(84, 2), 138, 11]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(330, 84, F3, 3, 10) (dual of [(84, 3), 222, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(330, 84, F3, 4, 10) (dual of [(84, 4), 306, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(330, 84, F3, 5, 10) (dual of [(84, 5), 390, 11]-NRT-code) | [i] | ||