Information on Result #795625
Digital (18, 27, 195)-net over F4, using trace code for nets based on digital (0, 9, 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, 28, 195)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (18, 26, 195)-net over F4 | [i] | m-Reduction | |
| 3 | Digital (166, 184, 932262)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (217, 235, 3728463)-net over F4 | [i] | ||
| 5 | Digital (177, 196, 932261)-net over F4 | [i] | ||
| 6 | Digital (228, 247, 3728459)-net over F4 | [i] | ||
| 7 | Linear OOA(427, 195, F4, 2, 9) (dual of [(195, 2), 363, 10]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(427, 195, F4, 3, 9) (dual of [(195, 3), 558, 10]-NRT-code) | [i] | ||