Information on Result #795986
Digital (157, 225, 531)-net over F4, using trace code for nets based on digital (7, 75, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, 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 (158, 225, 531)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (158, 226, 531)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (157, 224, 531)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (157, 223, 531)-net over F4 | [i] | ||
| 5 | Digital (157, 222, 531)-net over F4 | [i] | ||
| 6 | Digital (157, 221, 531)-net over F4 | [i] | ||
| 7 | Digital (157, 220, 531)-net over F4 | [i] | ||
| 8 | Digital (157, 219, 531)-net over F4 | [i] | ||
| 9 | Digital (157, 218, 531)-net over F4 | [i] | ||
| 10 | Digital (157, 217, 531)-net over F4 | [i] | ||
| 11 | Digital (157, 216, 531)-net over F4 | [i] | ||
| 12 | Digital (157, 215, 531)-net over F4 | [i] | ||
| 13 | Digital (157, 214, 531)-net over F4 | [i] | ||
| 14 | Digital (157, 213, 531)-net over F4 | [i] | ||
| 15 | Digital (157, 212, 531)-net over F4 | [i] | ||
| 16 | Digital (191, 259, 536)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 17 | Digital (192, 260, 540)-net over F4 | [i] | ||
| 18 | Linear OOA(4225, 531, F4, 2, 68) (dual of [(531, 2), 837, 69]-NRT-code) | [i] | Extracting Embedded OOA | |
| 19 | Linear OOA(4225, 531, F4, 3, 68) (dual of [(531, 3), 1368, 69]-NRT-code) | [i] | ||