Information on Result #794913
Digital (162, 216, 328)-net over F3, using trace code for nets based on digital (0, 54, 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 (163, 217, 328)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (164, 218, 328)-net over F3 | [i] | ||
| 3 | Digital (162, 215, 328)-net over F3 | [i] | m-Reduction | |
| 4 | Linear OOA(3216, 328, F3, 3, 54) (dual of [(328, 3), 768, 55]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(3216, 328, F3, 4, 54) (dual of [(328, 4), 1096, 55]-NRT-code) | [i] | ||
| 6 | Linear OOA(3216, 328, F3, 5, 54) (dual of [(328, 5), 1424, 55]-NRT-code) | [i] | ||