Information on Result #776082
Digital (10, 29, 46)-net over F8, using net from sequence based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [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 (68, 87, 138)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (81, 119, 400)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (123, 161, 1072)-net over F8 | [i] | ||
| 4 | Digital (82, 121, 400)-net over F8 | [i] | ||
| 5 | Digital (124, 163, 1072)-net over F8 | [i] | ||
| 6 | Linear OOA(829, 46, F8, 2, 19) (dual of [(46, 2), 63, 20]-NRT-code) | [i] | Extracting Embedded OOA | |
| 7 | Linear OOA(829, 46, F8, 3, 19) (dual of [(46, 3), 109, 20]-NRT-code) | [i] | ||