Information on Result #794515
Digital (180, 243, 324)-net over F3, using trace code for nets based on digital (18, 81, 108)-net over F27, using
- net from sequence [i] based on digital (18, 107)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- F3 from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F27 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, 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 (181, 243, 324)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (181, 244, 324)-net over F3 | [i] | Net Duplication | |
| 3 | Digital (180, 242, 324)-net over F3 | [i] | m-Reduction | |
| 4 | Digital (180, 241, 324)-net over F3 | [i] | ||
| 5 | Linear OOA(3243, 324, F3, 3, 63) (dual of [(324, 3), 729, 64]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(3243, 324, F3, 4, 63) (dual of [(324, 4), 1053, 64]-NRT-code) | [i] | ||
| 7 | Linear OOA(3243, 324, F3, 5, 63) (dual of [(324, 5), 1377, 64]-NRT-code) | [i] | ||