Information on Result #790406
Digital (35, 56, 42)-net over F2, using trace code for nets based on digital (7, 28, 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 (35, 55, 42)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (35, 54, 42)-net over F2 | [i] | ||
| 3 | Linear OOA(256, 42, F2, 3, 21) (dual of [(42, 3), 70, 22]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(256, 42, F2, 4, 21) (dual of [(42, 4), 112, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(256, 42, F2, 5, 21) (dual of [(42, 5), 154, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(256, 42, F2, 6, 21) (dual of [(42, 6), 196, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(256, 42, F2, 7, 21) (dual of [(42, 7), 238, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(256, 42, F2, 8, 21) (dual of [(42, 8), 280, 22]-NRT-code) | [i] | ||