Information on Result #797423
Digital (14, 28, 100)-net over F7, using trace code for nets based on digital (0, 14, 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 (14, 27, 100)-net over F7 | [i] | m-Reduction | |
| 2 | Digital (21, 35, 108)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (22, 36, 113)-net over F7 | [i] | ||
| 4 | Digital (24, 38, 116)-net over F7 | [i] | ||
| 5 | Digital (25, 39, 121)-net over F7 | [i] | ||
| 6 | Digital (26, 40, 126)-net over F7 | [i] | ||
| 7 | Digital (27, 41, 150)-net over F7 | [i] | ||
| 8 | Digital (28, 42, 200)-net over F7 | [i] | ||
| 9 | Digital (56, 84, 200)-net over F7 | [i] | ||
| 10 | Digital (58, 86, 202)-net over F7 | [i] | ||
| 11 | Digital (57, 86, 200)-net over F7 | [i] | ||
| 12 | Digital (59, 88, 202)-net over F7 | [i] | ||
| 13 | Digital (67, 96, 213)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 14 | Digital (69, 98, 214)-net over F7 | [i] | ||
| 15 | Digital (69, 98, 215)-net over F7 | [i] | ||
| 16 | Digital (66, 94, 213)-net over F7 | [i] | ||
| 17 | Digital (68, 96, 214)-net over F7 | [i] | ||
| 18 | Digital (68, 96, 215)-net over F7 | [i] | ||
| 19 | Digital (32, 46, 208)-net over F7 | [i] | ||
| 20 | Digital (33, 47, 213)-net over F7 | [i] | ||
| 21 | Linear OOA(728, 100, F7, 2, 14) (dual of [(100, 2), 172, 15]-NRT-code) | [i] | Extracting Embedded OOA | |
| 22 | Linear OOA(728, 100, F7, 3, 14) (dual of [(100, 3), 272, 15]-NRT-code) | [i] | ||