Information on Result #795977
Digital (153, 219, 531)-net over F4, using trace code for nets based on digital (7, 73, 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 (154, 219, 531)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (154, 220, 531)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (153, 218, 531)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (153, 217, 531)-net over F4 | [i] | ||
| 5 | Digital (153, 216, 531)-net over F4 | [i] | ||
| 6 | Digital (153, 215, 531)-net over F4 | [i] | ||
| 7 | Digital (153, 214, 531)-net over F4 | [i] | ||
| 8 | Digital (153, 213, 531)-net over F4 | [i] | ||
| 9 | Digital (153, 212, 531)-net over F4 | [i] | ||
| 10 | Digital (153, 211, 531)-net over F4 | [i] | ||
| 11 | Digital (153, 210, 531)-net over F4 | [i] | ||
| 12 | Digital (153, 209, 531)-net over F4 | [i] | ||
| 13 | Digital (153, 208, 531)-net over F4 | [i] | ||
| 14 | Digital (153, 207, 531)-net over F4 | [i] | ||
| 15 | Digital (186, 252, 536)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 16 | Digital (187, 253, 540)-net over F4 | [i] | ||
| 17 | Digital (188, 254, 541)-net over F4 | [i] | ||
| 18 | Digital (189, 255, 545)-net over F4 | [i] | ||
| 19 | Digital (190, 256, 546)-net over F4 | [i] | ||
| 20 | Digital (191, 257, 548)-net over F4 | [i] | ||
| 21 | Digital (193, 259, 552)-net over F4 | [i] | ||
| 22 | Linear OOA(4219, 531, F4, 2, 66) (dual of [(531, 2), 843, 67]-NRT-code) | [i] | Extracting Embedded OOA | |
| 23 | Linear OOA(4219, 531, F4, 3, 66) (dual of [(531, 3), 1374, 67]-NRT-code) | [i] | ||