Information on Result #801423
Digital (17, 35, 82)-net over F9, using base reduction for projective spaces (embedding PG(17,81) in PG(34,9)) for nets based on digital (0, 18, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [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 (103, 139, 822)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (104, 141, 822)-net over F9 | [i] | ||
| 3 | Linear OOA(935, 82, F9, 2, 18) (dual of [(82, 2), 129, 19]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(935, 82, F9, 3, 18) (dual of [(82, 3), 211, 19]-NRT-code) | [i] | ||