Information on Result #798206
Digital (12, 22, 160)-net over F8, using trace code for nets based on digital (1, 11, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
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 (12, 21, 160)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (12, 20, 160)-net over F8 | [i] | ||
| 3 | Digital (22, 32, 290)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (48, 68, 368)-net over F8 | [i] | ||
| 5 | Digital (56, 76, 514)-net over F8 | [i] | ||
| 6 | Digital (49, 70, 368)-net over F8 | [i] | ||
| 7 | Digital (57, 78, 514)-net over F8 | [i] | ||
| 8 | (56, 76, 674)-net in base 8 | [i] | ||
| 9 | (57, 78, 674)-net in base 8 | [i] | ||
| 10 | Linear OOA(822, 160, F8, 2, 10) (dual of [(160, 2), 298, 11]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(822, 160, F8, 3, 10) (dual of [(160, 3), 458, 11]-NRT-code) | [i] | ||