Information on Result #790479
Digital (42, 70, 42)-net over F2, using trace code for nets based on digital (7, 35, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, 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 (42, 69, 42)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (42, 68, 42)-net over F2 | [i] | ||
| 3 | Digital (42, 67, 42)-net over F2 | [i] | ||
| 4 | Digital (118, 174, 70)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (118, 175, 70)-net over F2 | [i] | ||
| 6 | Digital (121, 178, 72)-net over F2 | [i] | ||
| 7 | Linear OOA(270, 42, F2, 3, 28) (dual of [(42, 3), 56, 29]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(270, 42, F2, 4, 28) (dual of [(42, 4), 98, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(270, 42, F2, 5, 28) (dual of [(42, 5), 140, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(270, 42, F2, 6, 28) (dual of [(42, 6), 182, 29]-NRT-code) | [i] | ||
| 11 | Linear OOA(270, 42, F2, 7, 28) (dual of [(42, 7), 224, 29]-NRT-code) | [i] | ||
| 12 | Linear OOA(270, 42, F2, 8, 28) (dual of [(42, 8), 266, 29]-NRT-code) | [i] | ||