Information on Result #797360
Digital (7, 14, 100)-net over F7, using trace code for nets based on digital (0, 7, 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 (7, 13, 100)-net over F7 | [i] | m-Reduction | |
2 | Digital (10, 17, 108)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
3 | Digital (11, 18, 150)-net over F7 | [i] | ||
4 | Digital (12, 19, 200)-net over F7 | [i] | ||
5 | Digital (28, 42, 200)-net over F7 | [i] | ||
6 | Digital (30, 44, 202)-net over F7 | [i] | ||
7 | Digital (29, 44, 200)-net over F7 | [i] | ||
8 | Digital (31, 46, 202)-net over F7 | [i] | ||
9 | Digital (60, 81, 308)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
10 | Digital (59, 82, 300)-net over F7 | [i] | ||
11 | Digital (61, 84, 302)-net over F7 | [i] | ||
12 | Digital (63, 86, 304)-net over F7 | [i] | ||
13 | Digital (58, 80, 300)-net over F7 | [i] | ||
14 | Digital (60, 82, 302)-net over F7 | [i] | ||
15 | Digital (62, 84, 304)-net over F7 | [i] | ||
16 | Digital (55, 76, 300)-net over F7 | [i] | ||
17 | Digital (57, 78, 302)-net over F7 | [i] | ||
18 | Digital (59, 80, 304)-net over F7 | [i] | ||
19 | Digital (32, 46, 208)-net over F7 | [i] | ||
20 | Digital (33, 47, 213)-net over F7 | [i] | ||
21 | Digital (14, 21, 208)-net over F7 | [i] | ||
22 | Digital (15, 22, 257)-net over F7 | [i] | ||
23 | Linear OOA(714, 100, F7, 2, 7) (dual of [(100, 2), 186, 8]-NRT-code) | [i] | Extracting Embedded OOA | |
24 | Linear OOA(714, 100, F7, 3, 7) (dual of [(100, 3), 286, 8]-NRT-code) | [i] |