Information on Result #801343
Digital (4, 9, 65)-net over F8, using base reduction for projective spaces (embedding PG(4,64) in PG(8,8)) for nets based on digital (0, 5, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(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 (73, 83, 3355505)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (80, 91, 3355505)-net over F8 | [i] | ||
| 3 | Digital (157, 172, 4793549)-net over F8 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Linear OOA(89, 65, F8, 2, 5) (dual of [(65, 2), 121, 6]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(89, 65, F8, 3, 5) (dual of [(65, 3), 186, 6]-NRT-code) | [i] | ||