Information on Result #790606
Digital (67, 104, 66)-net over F2, using trace code for nets based on digital (15, 52, 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 (67, 103, 66)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (67, 102, 66)-net over F2 | [i] | ||
| 3 | Digital (67, 101, 66)-net over F2 | [i] | ||
| 4 | Digital (67, 100, 66)-net over F2 | [i] | ||
| 5 | Digital (67, 99, 66)-net over F2 | [i] | ||
| 6 | Digital (67, 98, 66)-net over F2 | [i] | ||
| 7 | Digital (67, 97, 66)-net over F2 | [i] | ||
| 8 | Linear OOA(2104, 66, F2, 3, 37) (dual of [(66, 3), 94, 38]-NRT-code) | [i] | Extracting Embedded OOA | |
| 9 | Linear OOA(2104, 66, F2, 4, 37) (dual of [(66, 4), 160, 38]-NRT-code) | [i] | ||
| 10 | Linear OOA(2104, 66, F2, 5, 37) (dual of [(66, 5), 226, 38]-NRT-code) | [i] | ||
| 11 | Linear OOA(2104, 66, F2, 6, 37) (dual of [(66, 6), 292, 38]-NRT-code) | [i] | ||
| 12 | Linear OOA(2104, 66, F2, 7, 37) (dual of [(66, 7), 358, 38]-NRT-code) | [i] | ||
| 13 | Linear OOA(2104, 66, F2, 8, 37) (dual of [(66, 8), 424, 38]-NRT-code) | [i] | ||