Information on Result #790513
Digital (44, 78, 34)-net over F2, using trace code for nets based on digital (5, 39, 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 (44, 77, 34)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (44, 76, 34)-net over F2 | [i] | ||
| 3 | Digital (44, 75, 34)-net over F2 | [i] | ||
| 4 | Digital (126, 194, 69)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (129, 197, 70)-net over F2 | [i] | ||
| 6 | Digital (132, 200, 76)-net over F2 | [i] | ||
| 7 | Digital (126, 195, 69)-net over F2 | [i] | ||
| 8 | Digital (129, 198, 70)-net over F2 | [i] | ||
| 9 | Digital (132, 201, 76)-net over F2 | [i] | ||
| 10 | Linear OOA(278, 34, F2, 6, 34) (dual of [(34, 6), 126, 35]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(278, 34, F2, 7, 34) (dual of [(34, 7), 160, 35]-NRT-code) | [i] | ||
| 12 | Linear OOA(278, 34, F2, 8, 34) (dual of [(34, 8), 194, 35]-NRT-code) | [i] | ||