Information on Result #798335
Digital (41, 72, 256)-net over F8, using trace code for nets based on digital (5, 36, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, 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 (41, 71, 256)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (41, 70, 256)-net over F8 | [i] | ||
| 3 | Digital (41, 69, 256)-net over F8 | [i] | ||
| 4 | Digital (71, 102, 386)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (77, 108, 464)-net over F8 | [i] | ||
| 6 | Digital (81, 112, 512)-net over F8 | [i] | ||
| 7 | Linear OOA(872, 256, F8, 2, 31) (dual of [(256, 2), 440, 32]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(872, 256, F8, 3, 31) (dual of [(256, 3), 696, 32]-NRT-code) | [i] | ||