Information on Result #793840
Digital (42, 63, 84)-net over F3, using trace code for nets based on digital (0, 21, 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 (43, 64, 84)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (42, 62, 84)-net over F3 | [i] | m-Reduction | |
| 3 | Linear OOA(363, 84, F3, 2, 21) (dual of [(84, 2), 105, 22]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(363, 84, F3, 3, 21) (dual of [(84, 3), 189, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(363, 84, F3, 4, 21) (dual of [(84, 4), 273, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(363, 84, F3, 5, 21) (dual of [(84, 5), 357, 22]-NRT-code) | [i] | ||