Information on Result #790531
Digital (57, 84, 66)-net over F2, using trace code for nets based on digital (15, 42, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, 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 (57, 83, 66)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (57, 82, 66)-net over F2 | [i] | ||
| 3 | Linear OOA(284, 66, F2, 3, 27) (dual of [(66, 3), 114, 28]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(284, 66, F2, 4, 27) (dual of [(66, 4), 180, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(284, 66, F2, 5, 27) (dual of [(66, 5), 246, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(284, 66, F2, 6, 27) (dual of [(66, 6), 312, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(284, 66, F2, 7, 27) (dual of [(66, 7), 378, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(284, 66, F2, 8, 27) (dual of [(66, 8), 444, 28]-NRT-code) | [i] | ||