Information on Result #795617
Digital (12, 18, 195)-net over F4, using trace code for nets based on digital (0, 6, 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 (13, 19, 195)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (114, 126, 1398295)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (142, 154, 5592595)-net over F4 | [i] | ||
| 4 | Digital (114, 127, 1398295)-net over F4 | [i] | ||
| 5 | Digital (153, 166, 5592595)-net over F4 | [i] | ||
| 6 | Linear OOA(418, 195, F4, 2, 6) (dual of [(195, 2), 372, 7]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(418, 195, F4, 3, 6) (dual of [(195, 3), 567, 7]-NRT-code) | [i] | ||