Information on Result #786006
Digital (0, 12, 82)-net over F81, using net from sequence 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 (36, 48, 328)-net over F3 | [i] | Trace Code for Nets | |
| 2 | Digital (12, 24, 164)-net over F9 | [i] | ||
| 3 | Digital (11, 23, 82)-net over F9 | [i] | Base Reduction for Projective Spaces (for Nets) | |
| 4 | Digital (6, 18, 164)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (35, 59, 628)-net over F81 | [i] | ||
| 6 | Digital (58, 82, 44369)-net over F81 | [i] | ||
| 7 | Digital (45, 70, 820)-net over F81 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Digital (46, 71, 838)-net over F81 | [i] | ||
| 9 | Digital (44, 68, 820)-net over F81 | [i] | ||
| 10 | Digital (45, 69, 838)-net over F81 | [i] | ||
| 11 | Digital (44, 69, 756)-net over F81 | [i] | ||
| 12 | Digital (43, 67, 756)-net over F81 | [i] | ||
| 13 | (4, 16, 82)-net in base 27 | [i] | Base Change | |