Information on Result #798278
Digital (33, 52, 354)-net over F8, using trace code for nets based on digital (7, 26, 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 (33, 51, 354)-net over F8 | [i] | m-Reduction | |
| 2 | Digital (33, 50, 354)-net over F8 | [i] | ||
| 3 | Digital (33, 49, 354)-net over F8 | [i] | ||
| 4 | Digital (33, 48, 354)-net over F8 | [i] | ||
| 5 | Digital (33, 47, 354)-net over F8 | [i] | ||
| 6 | Digital (42, 61, 363)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 7 | Digital (43, 62, 368)-net over F8 | [i] | ||
| 8 | Digital (44, 63, 371)-net over F8 | [i] | ||
| 9 | Digital (45, 64, 378)-net over F8 | [i] | ||
| 10 | Digital (51, 70, 484)-net over F8 | [i] | ||
| 11 | Digital (53, 72, 514)-net over F8 | [i] | ||
| 12 | Linear OOA(852, 354, F8, 2, 19) (dual of [(354, 2), 656, 20]-NRT-code) | [i] | Extracting Embedded OOA | |
| 13 | Linear OOA(852, 354, F8, 3, 19) (dual of [(354, 3), 1010, 20]-NRT-code) | [i] | ||