Information on Result #750840
Digital (5, 20, 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 (35, 65, 41)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (138, 168, 701)-net over F3 | [i] | ||
| 3 | Digital (35, 66, 41)-net over F3 | [i] | ||
| 4 | Digital (141, 172, 701)-net over F3 | [i] | ||
| 5 | Linear OOA(320, 13, F3, 2, 15) (dual of [(13, 2), 6, 16]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(320, 13, F3, 3, 15) (dual of [(13, 3), 19, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(320, 13, F3, 4, 15) (dual of [(13, 4), 32, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(320, 13, F3, 5, 15) (dual of [(13, 5), 45, 16]-NRT-code) | [i] | ||