Information on Result #798646
Digital (7, 14, 164)-net over F9, using trace code for nets based on digital (0, 7, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
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 (7, 13, 164)-net over F9 | [i] | m-Reduction | |
| 2 | Digital (20, 27, 164)-net over F3 | [i] | Base Reduction for Projective Spaces (for Nets) | |
| 3 | Digital (11, 18, 246)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (12, 19, 328)-net over F9 | [i] | ||
| 5 | Digital (30, 44, 364)-net over F9 | [i] | ||
| 6 | Digital (106, 120, 2396906)-net over F9 | [i] | ||
| 7 | Digital (31, 46, 364)-net over F9 | [i] | ||
| 8 | Digital (113, 128, 2396906)-net over F9 | [i] | ||
| 9 | Digital (16, 23, 510)-net over F9 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 10 | Digital (15, 22, 419)-net over F9 | [i] | ||
| 11 | Linear OOA(914, 164, F9, 2, 7) (dual of [(164, 2), 314, 8]-NRT-code) | [i] | Extracting Embedded OOA | |
| 12 | Linear OOA(914, 164, F9, 3, 7) (dual of [(164, 3), 478, 8]-NRT-code) | [i] | ||