Information on Result #797481
Digital (18, 36, 100)-net over F7, using trace code for nets based on digital (0, 18, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(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 (18, 35, 100)-net over F7 | [i] | m-Reduction | |
| 2 | Digital (28, 46, 113)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (30, 48, 114)-net over F7 | [i] | ||
| 4 | Digital (31, 49, 116)-net over F7 | [i] | ||
| 5 | Digital (32, 50, 121)-net over F7 | [i] | ||
| 6 | Digital (33, 51, 128)-net over F7 | [i] | ||
| 7 | Digital (34, 52, 130)-net over F7 | [i] | ||
| 8 | Digital (35, 53, 150)-net over F7 | [i] | ||
| 9 | Digital (36, 54, 200)-net over F7 | [i] | ||
| 10 | Digital (72, 108, 200)-net over F7 | [i] | ||
| 11 | Digital (74, 110, 202)-net over F7 | [i] | ||
| 12 | Digital (73, 110, 200)-net over F7 | [i] | ||
| 13 | Digital (42, 60, 208)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 14 | Digital (48, 66, 300)-net over F7 | [i] | ||
| 15 | Linear OOA(736, 100, F7, 2, 18) (dual of [(100, 2), 164, 19]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(736, 100, F7, 3, 18) (dual of [(100, 3), 264, 19]-NRT-code) | [i] | ||