Information on Result #751830
Digital (11, 51, 20)-net over F3, using net from sequence based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, 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 (12, 51, 20)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (165, 245, 168)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (166, 247, 168)-net over F3 | [i] | ||
| 4 | Linear OOA(351, 20, F3, 3, 40) (dual of [(20, 3), 9, 41]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(351, 20, F3, 4, 40) (dual of [(20, 4), 29, 41]-NRT-code) | [i] | ||
| 6 | Linear OOA(351, 20, F3, 5, 40) (dual of [(20, 5), 49, 41]-NRT-code) | [i] | ||