Information on Result #1230582
Digital (5, 12, 51)-net over F16, using generalized (u, u+v)-construction based on
- digital (0, 2, 17)-net over F16, using
- digital (0, 3, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- digital (0, 7, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16 (see above)
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 (27, 42, 565)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (55, 70, 18776)-net over F16 | [i] | ||
| 3 | Digital (68, 83, 149848)-net over F16 | [i] | ||
| 4 | Digital (83, 98, 2396793)-net over F16 | [i] | ||
| 5 | Digital (64, 78, 149848)-net over F16 | [i] | ||
| 6 | Digital (78, 92, 2396793)-net over F16 | [i] | ||
| 7 | Digital (57, 80, 1079)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Digital (56, 78, 1079)-net over F16 | [i] | ||
| 9 | Digital (53, 74, 1079)-net over F16 | [i] | ||