Information on Result #790480
Digital (40, 70, 34)-net over F2, using trace code for nets based on digital (5, 35, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, 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 (40, 69, 34)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (40, 68, 34)-net over F2 | [i] | ||
| 3 | Digital (40, 67, 34)-net over F2 | [i] | ||
| 4 | Digital (118, 178, 69)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (121, 181, 70)-net over F2 | [i] | ||
| 6 | Digital (124, 184, 76)-net over F2 | [i] | ||
| 7 | Digital (118, 179, 69)-net over F2 | [i] | ||
| 8 | Digital (121, 182, 70)-net over F2 | [i] | ||
| 9 | Digital (124, 185, 76)-net over F2 | [i] | ||
| 10 | Linear OOA(270, 34, F2, 3, 30) (dual of [(34, 3), 32, 31]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(270, 34, F2, 4, 30) (dual of [(34, 4), 66, 31]-NRT-code) | [i] | ||
| 12 | Linear OOA(270, 34, F2, 5, 30) (dual of [(34, 5), 100, 31]-NRT-code) | [i] | ||
| 13 | Linear OOA(270, 34, F2, 6, 30) (dual of [(34, 6), 134, 31]-NRT-code) | [i] | ||
| 14 | Linear OOA(270, 34, F2, 7, 30) (dual of [(34, 7), 168, 31]-NRT-code) | [i] | ||
| 15 | Linear OOA(270, 34, F2, 8, 30) (dual of [(34, 8), 202, 31]-NRT-code) | [i] | ||