Information on Result #768146
Digital (18, 54, 43)-net over F5, using net from sequence based on digital (18, 42)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 17, N(F) = 42, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, 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 (19, 54, 43)-net over F5 | [i] | t-Expansion | |
| 2 | Digital (20, 54, 43)-net over F5 | [i] | ||
| 3 | Digital (21, 54, 43)-net over F5 | [i] | ||
| 4 | Digital (72, 144, 86)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (76, 148, 94)-net over F5 | [i] | ||
| 6 | Digital (72, 145, 86)-net over F5 | [i] | ||
| 7 | Digital (76, 149, 94)-net over F5 | [i] | ||
| 8 | Linear OOA(554, 43, F5, 2, 36) (dual of [(43, 2), 32, 37]-NRT-code) | [i] | Extracting Embedded OOA | |
| 9 | Linear OOA(554, 43, F5, 3, 36) (dual of [(43, 3), 75, 37]-NRT-code) | [i] | ||