Information on Result #750843
Digital (5, 23, 13)-net over F3, using net from sequence based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, 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 (38, 74, 41)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (159, 195, 701)-net over F3 | [i] | ||
| 3 | Digital (195, 231, 1493)-net over F3 | [i] | ||
| 4 | Digital (38, 75, 41)-net over F3 | [i] | ||
| 5 | Digital (162, 199, 701)-net over F3 | [i] | ||
| 6 | Digital (198, 235, 1493)-net over F3 | [i] | ||
| 7 | Linear OOA(323, 13, F3, 2, 18) (dual of [(13, 2), 3, 19]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(323, 13, F3, 3, 18) (dual of [(13, 3), 16, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(323, 13, F3, 4, 18) (dual of [(13, 4), 29, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(323, 13, F3, 5, 18) (dual of [(13, 5), 42, 19]-NRT-code) | [i] | ||