Information on Result #792815
Digital (37, 58, 80)-net over F3, using trace code for nets based on digital (8, 29, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, 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 (37, 57, 80)-net over F3 | [i] | m-Reduction | |
| 2 | Digital (37, 56, 80)-net over F3 | [i] | ||
| 3 | Linear OOA(358, 80, F3, 2, 21) (dual of [(80, 2), 102, 22]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(358, 80, F3, 3, 21) (dual of [(80, 3), 182, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(358, 80, F3, 4, 21) (dual of [(80, 4), 262, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(358, 80, F3, 5, 21) (dual of [(80, 5), 342, 22]-NRT-code) | [i] | ||