Information on Result #1214373
Digital (5, 13, 21)-net over F7, using (u, u+v)-construction based on
- digital (0, 4, 8)-net over F7, using
- net from sequence [i] based on digital (0, 7)-sequence over F7, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using
- the rational function field F7(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 7)-sequence over F7, using
- digital (1, 9, 13)-net over F7, using
- 4 times m-reduction [i] based on digital (1, 13, 13)-net over F7, 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 (29, 45, 121)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (30, 47, 121)-net over F7 | [i] | ||
| 3 | Digital (67, 84, 2122)-net over F7 | [i] | ||
| 4 | Digital (65, 91, 221)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 5 | Digital (62, 87, 221)-net over F7 | [i] | ||
| 6 | Digital (61, 85, 221)-net over F7 | [i] | ||
| 7 | Linear OOA(713, 18, F7, 3, 8) (dual of [(18, 3), 41, 9]-NRT-code) | [i] | Extracting Embedded OOA | |