Information on Result #795041
Digital (18, 32, 66)-net over F4, using trace code for nets based on digital (2, 16, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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 (18, 31, 66)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (116, 144, 1094)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Linear OOA(432, 66, F4, 2, 14) (dual of [(66, 2), 100, 15]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(432, 66, F4, 3, 14) (dual of [(66, 3), 166, 15]-NRT-code) | [i] | ||