Information on Result #794945
Digital (179, 232, 640)-net over F3, using trace code for nets based on digital (5, 58, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, 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 (180, 232, 640)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (180, 233, 640)-net over F3 | [i] | Net Duplication | |
| 3 | Digital (181, 234, 640)-net over F3 | [i] | ||
| 4 | Digital (179, 231, 640)-net over F3 | [i] | m-Reduction | |
| 5 | Digital (179, 230, 640)-net over F3 | [i] | ||
| 6 | Linear OOA(3232, 640, F3, 2, 53) (dual of [(640, 2), 1048, 54]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(3232, 640, F3, 3, 53) (dual of [(640, 3), 1688, 54]-NRT-code) | [i] | ||
| 8 | Linear OOA(3232, 640, F3, 4, 53) (dual of [(640, 4), 2328, 54]-NRT-code) | [i] | ||
| 9 | Linear OOA(3232, 640, F3, 5, 53) (dual of [(640, 5), 2968, 54]-NRT-code) | [i] | ||