Information on Result #790820
Digital (115, 164, 112)-net over F2, using trace code for nets based on digital (33, 82, 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 (115, 163, 112)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (115, 162, 112)-net over F2 | [i] | ||
| 3 | Digital (115, 161, 112)-net over F2 | [i] | ||
| 4 | Digital (115, 160, 112)-net over F2 | [i] | ||
| 5 | Linear OOA(2164, 112, F2, 3, 49) (dual of [(112, 3), 172, 50]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(2164, 112, F2, 4, 49) (dual of [(112, 4), 284, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(2164, 112, F2, 5, 49) (dual of [(112, 5), 396, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(2164, 112, F2, 6, 49) (dual of [(112, 6), 508, 50]-NRT-code) | [i] | ||
| 9 | Linear OOA(2164, 112, F2, 7, 49) (dual of [(112, 7), 620, 50]-NRT-code) | [i] | ||
| 10 | Linear OOA(2164, 112, F2, 8, 49) (dual of [(112, 8), 732, 50]-NRT-code) | [i] | ||