Information on Result #795896
Digital (125, 177, 531)-net over F4, using trace code for nets based on digital (7, 59, 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 (126, 177, 531)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (126, 178, 531)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (125, 176, 531)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (125, 175, 531)-net over F4 | [i] | ||
| 5 | Digital (125, 174, 531)-net over F4 | [i] | ||
| 6 | Digital (125, 173, 531)-net over F4 | [i] | ||
| 7 | Digital (125, 172, 531)-net over F4 | [i] | ||
| 8 | Digital (125, 171, 531)-net over F4 | [i] | ||
| 9 | Digital (125, 170, 531)-net over F4 | [i] | ||
| 10 | Digital (125, 169, 531)-net over F4 | [i] | ||
| 11 | Digital (125, 168, 531)-net over F4 | [i] | ||
| 12 | Digital (125, 167, 531)-net over F4 | [i] | ||
| 13 | Digital (151, 203, 536)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 14 | Digital (152, 204, 540)-net over F4 | [i] | ||
| 15 | Digital (153, 205, 541)-net over F4 | [i] | ||
| 16 | Digital (154, 206, 545)-net over F4 | [i] | ||
| 17 | Digital (155, 207, 546)-net over F4 | [i] | ||
| 18 | Linear OOA(4177, 531, F4, 2, 52) (dual of [(531, 2), 885, 53]-NRT-code) | [i] | Extracting Embedded OOA | |
| 19 | Linear OOA(4177, 531, F4, 3, 52) (dual of [(531, 3), 1416, 53]-NRT-code) | [i] | ||