Information on Result #801539
Digital (16, 22, 164)-net over F3, using trace code for nets based on digital (5, 11, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(5,81) in PG(10,9)) for nets [i] based on digital (0, 6, 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]
- net from sequence [i] based on digital (0, 81)-sequence over F81, 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 (190, 202, 5592564)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (130, 143, 1398264)-net over F3 | [i] | ||
| 3 | Digital (205, 218, 5592564)-net over F3 | [i] | ||
| 4 | Linear OOA(322, 164, F3, 2, 6) (dual of [(164, 2), 306, 7]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(322, 164, F3, 3, 6) (dual of [(164, 3), 470, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(322, 164, F3, 4, 6) (dual of [(164, 4), 634, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(322, 164, F3, 5, 6) (dual of [(164, 5), 798, 7]-NRT-code) | [i] | ||