Information on Result #801351
Digital (8, 17, 65)-net over F8, using base reduction for projective spaces (embedding PG(8,64) in PG(16,8)) for nets based on digital (0, 9, 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 (137, 155, 1864199)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (144, 163, 1864198)-net over F8 | [i] | ||
| 3 | (47, 65, 579)-net in base 8 | [i] | ||
| 4 | (50, 69, 579)-net in base 8 | [i] | ||
| 5 | Linear OOA(817, 65, F8, 2, 9) (dual of [(65, 2), 113, 10]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(817, 65, F8, 3, 9) (dual of [(65, 3), 178, 10]-NRT-code) | [i] | ||