Information on Result #791021
Digital (146, 226, 112)-net over F2, using trace code for nets based on digital (33, 113, 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 (146, 225, 112)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (146, 224, 112)-net over F2 | [i] | ||
| 3 | Digital (146, 223, 112)-net over F2 | [i] | ||
| 4 | Digital (146, 222, 112)-net over F2 | [i] | ||
| 5 | Digital (146, 221, 112)-net over F2 | [i] | ||
| 6 | Digital (146, 220, 112)-net over F2 | [i] | ||
| 7 | Digital (146, 219, 112)-net over F2 | [i] | ||
| 8 | Digital (146, 218, 112)-net over F2 | [i] | ||
| 9 | Digital (146, 217, 112)-net over F2 | [i] | ||
| 10 | Digital (146, 216, 112)-net over F2 | [i] | ||
| 11 | Digital (146, 215, 112)-net over F2 | [i] | ||
| 12 | Digital (146, 214, 112)-net over F2 | [i] | ||
| 13 | Digital (146, 213, 112)-net over F2 | [i] | ||
| 14 | Digital (146, 212, 112)-net over F2 | [i] | ||
| 15 | Digital (146, 211, 112)-net over F2 | [i] | ||
| 16 | Digital (146, 210, 112)-net over F2 | [i] | ||
| 17 | Digital (146, 209, 112)-net over F2 | [i] | ||
| 18 | Digital (146, 208, 112)-net over F2 | [i] | ||
| 19 | Digital (146, 207, 112)-net over F2 | [i] | ||
| 20 | Digital (146, 206, 112)-net over F2 | [i] | ||
| 21 | Linear OOA(2226, 112, F2, 3, 80) (dual of [(112, 3), 110, 81]-NRT-code) | [i] | Extracting Embedded OOA | |
| 22 | Linear OOA(2226, 112, F2, 4, 80) (dual of [(112, 4), 222, 81]-NRT-code) | [i] | ||
| 23 | Linear OOA(2226, 112, F2, 5, 80) (dual of [(112, 5), 334, 81]-NRT-code) | [i] | ||
| 24 | Linear OOA(2226, 112, F2, 6, 80) (dual of [(112, 6), 446, 81]-NRT-code) | [i] | ||
| 25 | Linear OOA(2226, 112, F2, 7, 80) (dual of [(112, 7), 558, 81]-NRT-code) | [i] | ||
| 26 | Linear OOA(2226, 112, F2, 8, 80) (dual of [(112, 8), 670, 81]-NRT-code) | [i] | ||