Information on Result #793371
Digital (106, 168, 156)-net over F3, using trace code for nets based on digital (22, 84, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, 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 (106, 167, 156)-net over F3 | [i] | m-Reduction | |
| 2 | Digital (106, 166, 156)-net over F3 | [i] | ||
| 3 | Digital (106, 165, 156)-net over F3 | [i] | ||
| 4 | Digital (106, 164, 156)-net over F3 | [i] | ||
| 5 | Digital (106, 163, 156)-net over F3 | [i] | ||
| 6 | Digital (106, 162, 156)-net over F3 | [i] | ||
| 7 | Digital (106, 161, 156)-net over F3 | [i] | ||
| 8 | Digital (106, 160, 156)-net over F3 | [i] | ||
| 9 | Digital (106, 159, 156)-net over F3 | [i] | ||
| 10 | Digital (106, 158, 156)-net over F3 | [i] | ||
| 11 | Digital (106, 157, 156)-net over F3 | [i] | ||
| 12 | Digital (106, 156, 156)-net over F3 | [i] | ||
| 13 | Digital (106, 155, 156)-net over F3 | [i] | ||
| 14 | Digital (106, 154, 156)-net over F3 | [i] | ||
| 15 | Linear OOA(3168, 156, F3, 2, 62) (dual of [(156, 2), 144, 63]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(3168, 156, F3, 3, 62) (dual of [(156, 3), 300, 63]-NRT-code) | [i] | ||
| 17 | Linear OOA(3168, 156, F3, 4, 62) (dual of [(156, 4), 456, 63]-NRT-code) | [i] | ||
| 18 | Linear OOA(3168, 156, F3, 5, 62) (dual of [(156, 5), 612, 63]-NRT-code) | [i] | ||