Information on Result #797411
Digital (13, 26, 100)-net over F7, using trace code for nets based on digital (0, 13, 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 (13, 25, 100)-net over F7 | [i] | m-Reduction | |
2 | Digital (19, 32, 108)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
3 | Digital (20, 33, 113)-net over F7 | [i] | ||
4 | Digital (22, 35, 116)-net over F7 | [i] | ||
5 | Digital (23, 36, 121)-net over F7 | [i] | ||
6 | Digital (24, 37, 150)-net over F7 | [i] | ||
7 | Digital (25, 38, 200)-net over F7 | [i] | ||
8 | Digital (52, 78, 200)-net over F7 | [i] | ||
9 | Digital (54, 80, 202)-net over F7 | [i] | ||
10 | Digital (53, 80, 200)-net over F7 | [i] | ||
11 | Digital (55, 82, 202)-net over F7 | [i] | ||
12 | Digital (63, 90, 213)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
13 | Digital (65, 92, 214)-net over F7 | [i] | ||
14 | Digital (66, 93, 216)-net over F7 | [i] | ||
15 | Digital (67, 94, 221)-net over F7 | [i] | ||
16 | Digital (65, 92, 215)-net over F7 | [i] | ||
17 | Digital (61, 87, 213)-net over F7 | [i] | ||
18 | Digital (63, 89, 214)-net over F7 | [i] | ||
19 | Digital (64, 90, 216)-net over F7 | [i] | ||
20 | Digital (65, 91, 221)-net over F7 | [i] | ||
21 | Digital (66, 92, 228)-net over F7 | [i] | ||
22 | Digital (63, 89, 215)-net over F7 | [i] | ||
23 | Digital (29, 42, 208)-net over F7 | [i] | ||
24 | Digital (30, 43, 213)-net over F7 | [i] | ||
25 | Digital (31, 44, 221)-net over F7 | [i] | ||
26 | Linear OOA(726, 100, F7, 2, 13) (dual of [(100, 2), 174, 14]-NRT-code) | [i] | Extracting Embedded OOA | |
27 | Linear OOA(726, 100, F7, 3, 13) (dual of [(100, 3), 274, 14]-NRT-code) | [i] |