Information on Result #798242
Digital (18, 36, 130)-net over F8, using trace code for nets based on digital (0, 18, 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 (18, 35, 130)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (82, 118, 386)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (86, 122, 484)-net over F8 | [i] | ||
| 4 | Digital (83, 120, 386)-net over F8 | [i] | ||
| 5 | Digital (87, 124, 484)-net over F8 | [i] | ||
| 6 | Linear OOA(836, 130, F8, 2, 18) (dual of [(130, 2), 224, 19]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(836, 130, F8, 3, 18) (dual of [(130, 3), 354, 19]-NRT-code) | [i] | ||