Information on Result #795872
Digital (117, 165, 531)-net over F4, using trace code for nets based on digital (7, 55, 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 (118, 165, 531)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (118, 166, 531)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (117, 164, 531)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (117, 163, 531)-net over F4 | [i] | ||
| 5 | Digital (117, 162, 531)-net over F4 | [i] | ||
| 6 | Digital (117, 161, 531)-net over F4 | [i] | ||
| 7 | Digital (117, 160, 531)-net over F4 | [i] | ||
| 8 | Digital (117, 159, 531)-net over F4 | [i] | ||
| 9 | Digital (117, 158, 531)-net over F4 | [i] | ||
| 10 | Digital (117, 157, 531)-net over F4 | [i] | ||
| 11 | Digital (141, 189, 536)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 12 | Digital (142, 190, 540)-net over F4 | [i] | ||
| 13 | Digital (143, 191, 541)-net over F4 | [i] | ||
| 14 | Linear OOA(4165, 531, F4, 2, 48) (dual of [(531, 2), 897, 49]-NRT-code) | [i] | Extracting Embedded OOA | |
| 15 | Linear OOA(4165, 531, F4, 3, 48) (dual of [(531, 3), 1428, 49]-NRT-code) | [i] | ||