Information on Result #793707
Digital (15, 21, 114)-net over F3, using trace code for nets based on digital (1, 7, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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 (129, 141, 1398214)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (189, 201, 5592514)-net over F3 | [i] | ||
| 3 | Digital (129, 142, 1398214)-net over F3 | [i] | ||
| 4 | Digital (204, 217, 5592514)-net over F3 | [i] | ||
| 5 | Linear OOA(321, 114, F3, 3, 6) (dual of [(114, 3), 321, 7]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(321, 114, F3, 4, 6) (dual of [(114, 4), 435, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(321, 114, F3, 5, 6) (dual of [(114, 5), 549, 7]-NRT-code) | [i] | ||