Information on Result #798193
Digital (8, 16, 130)-net over F8, using trace code for nets based on digital (0, 8, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(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 (8, 15, 130)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (16, 24, 260)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (122, 138, 2097280)-net over F8 | [i] | ||
| 4 | Digital (112, 129, 1048705)-net over F8 | [i] | ||
| 5 | Digital (129, 146, 2097280)-net over F8 | [i] | ||
| 6 | (44, 60, 644)-net in base 8 | [i] | ||
| 7 | (45, 62, 644)-net in base 8 | [i] | ||
| 8 | Digital (19, 27, 333)-net over F8 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 9 | Linear OOA(816, 130, F8, 2, 8) (dual of [(130, 2), 244, 9]-NRT-code) | [i] | Extracting Embedded OOA | |
| 10 | Linear OOA(816, 130, F8, 3, 8) (dual of [(130, 3), 374, 9]-NRT-code) | [i] | ||