Information on Result #794030
Digital (81, 111, 246)-net over F3, using trace code for nets based on digital (7, 37, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, 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 (82, 112, 246)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (81, 110, 246)-net over F3 | [i] | m-Reduction | |
| 3 | Linear OOA(3111, 246, F3, 2, 30) (dual of [(246, 2), 381, 31]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(3111, 246, F3, 3, 30) (dual of [(246, 3), 627, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(3111, 246, F3, 4, 30) (dual of [(246, 4), 873, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(3111, 246, F3, 5, 30) (dual of [(246, 5), 1119, 31]-NRT-code) | [i] | ||