Information on Result #791748
Digital (82, 104, 180)-net over F2, using trace code for nets based on digital (4, 26, 45)-net over F16, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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 (83, 105, 180)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (84, 106, 180)-net over F2 | [i] | ||
| 3 | Digital (82, 103, 180)-net over F2 | [i] | m-Reduction | |
| 4 | Linear OOA(2104, 180, F2, 3, 22) (dual of [(180, 3), 436, 23]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(2104, 180, F2, 4, 22) (dual of [(180, 4), 616, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(2104, 180, F2, 5, 22) (dual of [(180, 5), 796, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(2104, 180, F2, 6, 22) (dual of [(180, 6), 976, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(2104, 180, F2, 7, 22) (dual of [(180, 7), 1156, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(2104, 180, F2, 8, 22) (dual of [(180, 8), 1336, 23]-NRT-code) | [i] | ||