Information on Result #794980
Digital (193, 248, 688)-net over F3, using trace code for nets based on digital (7, 62, 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 (194, 248, 688)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (195, 248, 688)-net over F3 | [i] | ||
| 3 | Digital (196, 248, 688)-net over F3 | [i] | ||
| 4 | Digital (197, 248, 688)-net over F3 | [i] | ||
| 5 | Digital (198, 248, 688)-net over F3 | [i] | ||
| 6 | Digital (194, 249, 688)-net over F3 | [i] | Net Duplication | |
| 7 | Digital (195, 250, 688)-net over F3 | [i] | ||
| 8 | Digital (193, 247, 688)-net over F3 | [i] | m-Reduction | |
| 9 | Digital (193, 246, 688)-net over F3 | [i] | ||
| 10 | Digital (193, 245, 688)-net over F3 | [i] | ||
| 11 | Digital (193, 244, 688)-net over F3 | [i] | ||
| 12 | Digital (193, 243, 688)-net over F3 | [i] | ||
| 13 | Digital (193, 242, 688)-net over F3 | [i] | ||
| 14 | Digital (193, 241, 688)-net over F3 | [i] | ||
| 15 | Linear OOA(3248, 688, F3, 2, 55) (dual of [(688, 2), 1128, 56]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(3248, 688, F3, 3, 55) (dual of [(688, 3), 1816, 56]-NRT-code) | [i] | ||
| 17 | Linear OOA(3248, 688, F3, 4, 55) (dual of [(688, 4), 2504, 56]-NRT-code) | [i] | ||
| 18 | Linear OOA(3248, 688, F3, 5, 55) (dual of [(688, 5), 3192, 56]-NRT-code) | [i] | ||