Information on Result #794917
Digital (172, 220, 688)-net over F3, using trace code for nets based on digital (7, 55, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, 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 (173, 220, 688)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (174, 220, 688)-net over F3 | [i] | ||
| 3 | Digital (173, 221, 688)-net over F3 | [i] | Net Duplication | |
| 4 | Digital (174, 222, 688)-net over F3 | [i] | ||
| 5 | Digital (172, 219, 688)-net over F3 | [i] | m-Reduction | |
| 6 | Digital (172, 218, 688)-net over F3 | [i] | ||
| 7 | Digital (172, 217, 688)-net over F3 | [i] | ||
| 8 | Digital (172, 216, 688)-net over F3 | [i] | ||
| 9 | Digital (172, 215, 688)-net over F3 | [i] | ||
| 10 | Digital (172, 214, 688)-net over F3 | [i] | ||
| 11 | Linear OOA(3220, 688, F3, 2, 48) (dual of [(688, 2), 1156, 49]-NRT-code) | [i] | Extracting Embedded OOA | |
| 12 | Linear OOA(3220, 688, F3, 3, 48) (dual of [(688, 3), 1844, 49]-NRT-code) | [i] | ||
| 13 | Linear OOA(3220, 688, F3, 4, 48) (dual of [(688, 4), 2532, 49]-NRT-code) | [i] | ||
| 14 | Linear OOA(3220, 688, F3, 5, 48) (dual of [(688, 5), 3220, 49]-NRT-code) | [i] | ||