Information on Result #775757
Digital (8, 27, 35)-net over F8, using net from sequence based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
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 (62, 81, 105)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (35, 73, 70)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (36, 74, 80)-net over F8 | [i] | ||
| 4 | Digital (79, 117, 389)-net over F8 | [i] | ||
| 5 | Digital (121, 159, 1061)-net over F8 | [i] | ||
| 6 | Digital (35, 74, 70)-net over F8 | [i] | ||
| 7 | Digital (36, 75, 80)-net over F8 | [i] | ||
| 8 | Digital (80, 119, 389)-net over F8 | [i] | ||
| 9 | Digital (122, 161, 1061)-net over F8 | [i] | ||
| 10 | Linear OOA(827, 35, F8, 2, 19) (dual of [(35, 2), 43, 20]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(827, 35, F8, 3, 19) (dual of [(35, 3), 78, 20]-NRT-code) | [i] | ||