Information on Result #798247
Digital (19, 38, 130)-net over F8, using trace code for nets based on digital (0, 19, 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 (19, 37, 130)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (86, 124, 386)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (90, 128, 484)-net over F8 | [i] | ||
| 4 | Digital (87, 126, 386)-net over F8 | [i] | ||
| 5 | Digital (91, 130, 484)-net over F8 | [i] | ||
| 6 | Linear OOA(838, 130, F8, 2, 19) (dual of [(130, 2), 222, 20]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(838, 130, F8, 3, 19) (dual of [(130, 3), 352, 20]-NRT-code) | [i] | ||