Information on Result #790790
Digital (111, 156, 112)-net over F2, using trace code for nets based on digital (33, 78, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, 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 (111, 155, 112)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (111, 154, 112)-net over F2 | [i] | ||
| 3 | Linear OOA(2156, 112, F2, 3, 45) (dual of [(112, 3), 180, 46]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(2156, 112, F2, 4, 45) (dual of [(112, 4), 292, 46]-NRT-code) | [i] | ||
| 5 | Linear OOA(2156, 112, F2, 5, 45) (dual of [(112, 5), 404, 46]-NRT-code) | [i] | ||
| 6 | Linear OOA(2156, 112, F2, 6, 45) (dual of [(112, 6), 516, 46]-NRT-code) | [i] | ||
| 7 | Linear OOA(2156, 112, F2, 7, 45) (dual of [(112, 7), 628, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(2156, 112, F2, 8, 45) (dual of [(112, 8), 740, 46]-NRT-code) | [i] | ||