Information on Result #798197
Digital (9, 18, 130)-net over F8, 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 (9, 17, 130)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (17, 26, 260)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (50, 68, 484)-net over F8 | [i] | ||
| 4 | Digital (138, 156, 1864264)-net over F8 | [i] | ||
| 5 | Digital (51, 70, 484)-net over F8 | [i] | ||
| 6 | Digital (145, 164, 1864263)-net over F8 | [i] | ||
| 7 | (48, 66, 644)-net in base 8 | [i] | ||
| 8 | (51, 70, 644)-net in base 8 | [i] | ||
| 9 | Linear OOA(818, 130, F8, 2, 9) (dual of [(130, 2), 242, 10]-NRT-code) | [i] | Extracting Embedded OOA | |
| 10 | Linear OOA(818, 130, F8, 3, 9) (dual of [(130, 3), 372, 10]-NRT-code) | [i] | ||