Information on Result #794994
Digital (10, 18, 48)-net over F4, using trace code for nets based on digital (1, 9, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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 (10, 17, 48)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (66, 82, 1076)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (146, 162, 1048623)-net over F4 | [i] | ||
| 4 | Digital (186, 202, 4194348)-net over F4 | [i] | ||
| 5 | Digital (146, 163, 1048623)-net over F4 | [i] | ||
| 6 | Digital (197, 214, 4194348)-net over F4 | [i] | ||
| 7 | Linear OOA(418, 48, F4, 2, 8) (dual of [(48, 2), 78, 9]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(418, 48, F4, 3, 8) (dual of [(48, 3), 126, 9]-NRT-code) | [i] | ||