Information on Result #798656
Digital (9, 18, 164)-net over F9, using trace code for nets based on digital (0, 9, 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 (9, 17, 164)-net over F9 | [i] | m-Reduction | |
| 2 | Digital (26, 35, 164)-net over F3 | [i] | Base Reduction for Projective Spaces (for Nets) | |
| 3 | Digital (16, 25, 246)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (17, 26, 328)-net over F9 | [i] | ||
| 5 | Digital (38, 56, 364)-net over F9 | [i] | ||
| 6 | Digital (39, 58, 364)-net over F9 | [i] | ||
| 7 | Digital (21, 30, 410)-net over F9 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Linear OOA(918, 164, F9, 2, 9) (dual of [(164, 2), 310, 10]-NRT-code) | [i] | Extracting Embedded OOA | |
| 9 | Linear OOA(918, 164, F9, 3, 9) (dual of [(164, 3), 474, 10]-NRT-code) | [i] | ||