Information on Result #791441
Digital (107, 144, 144)-net over F2, using trace code for nets based on digital (11, 48, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, 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 (108, 144, 144)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (108, 145, 144)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (107, 143, 144)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (107, 142, 144)-net over F2 | [i] | ||
| 5 | Digital (107, 141, 144)-net over F2 | [i] | ||
| 6 | Digital (107, 140, 144)-net over F2 | [i] | ||
| 7 | Linear OOA(2144, 144, F2, 3, 37) (dual of [(144, 3), 288, 38]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(2144, 144, F2, 4, 37) (dual of [(144, 4), 432, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(2144, 144, F2, 5, 37) (dual of [(144, 5), 576, 38]-NRT-code) | [i] | ||
| 10 | Linear OOA(2144, 144, F2, 6, 37) (dual of [(144, 6), 720, 38]-NRT-code) | [i] | ||
| 11 | Linear OOA(2144, 144, F2, 7, 37) (dual of [(144, 7), 864, 38]-NRT-code) | [i] | ||
| 12 | Linear OOA(2144, 144, F2, 8, 37) (dual of [(144, 8), 1008, 38]-NRT-code) | [i] | ||