Information on Result #798893
Digital (57, 82, 740)-net over F9, using trace code for nets based on digital (16, 41, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
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 (57, 81, 740)-net over F9 | [i] | m-Reduction | |
| 2 | Digital (57, 80, 740)-net over F9 | [i] | ||
| 3 | Digital (57, 79, 740)-net over F9 | [i] | ||
| 4 | Digital (57, 78, 740)-net over F9 | [i] | ||
| 5 | Digital (57, 77, 740)-net over F9 | [i] | ||
| 6 | Digital (69, 94, 750)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 7 | Digital (70, 95, 756)-net over F9 | [i] | ||
| 8 | Digital (71, 96, 760)-net over F9 | [i] | ||
| 9 | Digital (72, 97, 768)-net over F9 | [i] | ||
| 10 | Linear OOA(982, 740, F9, 2, 25) (dual of [(740, 2), 1398, 26]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(982, 740, F9, 3, 25) (dual of [(740, 3), 2138, 26]-NRT-code) | [i] | ||