Information on Result #794863
Digital (154, 196, 688)-net over F3, using trace code for nets based on digital (7, 49, 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 (155, 196, 688)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (156, 196, 688)-net over F3 | [i] | ||
| 3 | Digital (155, 197, 688)-net over F3 | [i] | Net Duplication | |
| 4 | Digital (156, 198, 688)-net over F3 | [i] | ||
| 5 | Digital (154, 195, 688)-net over F3 | [i] | m-Reduction | |
| 6 | Digital (154, 194, 688)-net over F3 | [i] | ||
| 7 | Digital (154, 193, 688)-net over F3 | [i] | ||
| 8 | Digital (154, 192, 688)-net over F3 | [i] | ||
| 9 | Digital (154, 191, 688)-net over F3 | [i] | ||
| 10 | Digital (175, 217, 692)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 11 | Digital (176, 218, 695)-net over F3 | [i] | ||
| 12 | Digital (177, 219, 696)-net over F3 | [i] | ||
| 13 | Linear OOA(3196, 688, F3, 4, 42) (dual of [(688, 4), 2556, 43]-NRT-code) | [i] | Extracting Embedded OOA | |
| 14 | Linear OOA(3196, 688, F3, 5, 42) (dual of [(688, 5), 3244, 43]-NRT-code) | [i] | ||