Information on Result #794989
Digital (9, 16, 48)-net over F4, using trace code for nets based on digital (1, 8, 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 (123, 137, 1198419)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (162, 176, 4793532)-net over F4 | [i] | ||
| 3 | Digital (61, 76, 1076)-net over F4 | [i] | ||
| 4 | Digital (134, 149, 1198419)-net over F4 | [i] | ||
| 5 | Digital (173, 188, 4793532)-net over F4 | [i] | ||
| 6 | Linear OOA(416, 48, F4, 2, 7) (dual of [(48, 2), 80, 8]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(416, 48, F4, 3, 7) (dual of [(48, 3), 128, 8]-NRT-code) | [i] | ||