Information on Result #791487
Digital (117, 159, 144)-net over F2, using trace code for nets based on digital (11, 53, 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 (118, 159, 144)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (118, 160, 144)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (117, 158, 144)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (117, 157, 144)-net over F2 | [i] | ||
| 5 | Digital (117, 156, 144)-net over F2 | [i] | ||
| 6 | Digital (117, 155, 144)-net over F2 | [i] | ||
| 7 | Linear OOA(2159, 144, F2, 3, 42) (dual of [(144, 3), 273, 43]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(2159, 144, F2, 4, 42) (dual of [(144, 4), 417, 43]-NRT-code) | [i] | ||
| 9 | Linear OOA(2159, 144, F2, 5, 42) (dual of [(144, 5), 561, 43]-NRT-code) | [i] | ||
| 10 | Linear OOA(2159, 144, F2, 6, 42) (dual of [(144, 6), 705, 43]-NRT-code) | [i] | ||
| 11 | Linear OOA(2159, 144, F2, 7, 42) (dual of [(144, 7), 849, 43]-NRT-code) | [i] | ||
| 12 | Linear OOA(2159, 144, F2, 8, 42) (dual of [(144, 8), 993, 43]-NRT-code) | [i] | ||