Information on Result #801349
Digital (7, 15, 65)-net over F8, using base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) for nets based on digital (0, 8, 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 (37, 45, 108)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (121, 137, 2097215)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (111, 128, 1048640)-net over F8 | [i] | ||
| 4 | Digital (128, 145, 2097215)-net over F8 | [i] | ||
| 5 | (43, 59, 579)-net in base 8 | [i] | ||
| 6 | (44, 61, 579)-net in base 8 | [i] | ||
| 7 | Linear OOA(815, 65, F8, 2, 8) (dual of [(65, 2), 115, 9]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(815, 65, F8, 3, 8) (dual of [(65, 3), 180, 9]-NRT-code) | [i] | ||