Information on Result #790797
Digital (112, 158, 112)-net over F2, using trace code for nets based on digital (33, 79, 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 (112, 157, 112)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (112, 156, 112)-net over F2 | [i] | ||
| 3 | Digital (112, 155, 112)-net over F2 | [i] | ||
| 4 | Linear OOA(2158, 112, F2, 3, 46) (dual of [(112, 3), 178, 47]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(2158, 112, F2, 4, 46) (dual of [(112, 4), 290, 47]-NRT-code) | [i] | ||
| 6 | Linear OOA(2158, 112, F2, 5, 46) (dual of [(112, 5), 402, 47]-NRT-code) | [i] | ||
| 7 | Linear OOA(2158, 112, F2, 6, 46) (dual of [(112, 6), 514, 47]-NRT-code) | [i] | ||
| 8 | Linear OOA(2158, 112, F2, 7, 46) (dual of [(112, 7), 626, 47]-NRT-code) | [i] | ||
| 9 | Linear OOA(2158, 112, F2, 8, 46) (dual of [(112, 8), 738, 47]-NRT-code) | [i] | ||