Information on Result #794221
Digital (112, 162, 192)-net over F3, using trace code for nets based on digital (4, 54, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, 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 (113, 163, 192)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (112, 161, 192)-net over F3 | [i] | m-Reduction | |
| 3 | Linear OOA(3162, 192, F3, 2, 50) (dual of [(192, 2), 222, 51]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(3162, 192, F3, 3, 50) (dual of [(192, 3), 414, 51]-NRT-code) | [i] | ||
| 5 | Linear OOA(3162, 192, F3, 4, 50) (dual of [(192, 4), 606, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(3162, 192, F3, 5, 50) (dual of [(192, 5), 798, 51]-NRT-code) | [i] | ||