Information on Result #794550
Digital (18, 24, 328)-net over F3, using trace code for nets based on digital (0, 6, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(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 (19, 25, 328)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (20, 26, 328)-net over F3 | [i] | ||
| 3 | Digital (192, 204, 5592728)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (132, 145, 1398428)-net over F3 | [i] | ||
| 5 | Digital (207, 220, 5592728)-net over F3 | [i] | ||
| 6 | Linear OOA(324, 328, F3, 3, 6) (dual of [(328, 3), 960, 7]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(324, 328, F3, 4, 6) (dual of [(328, 4), 1288, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(324, 328, F3, 5, 6) (dual of [(328, 5), 1616, 7]-NRT-code) | [i] | ||