Information on Result #801545
Digital (34, 46, 164)-net over F3, using trace code for nets based on digital (11, 23, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(11,81) in PG(22,9)) for nets [i] based on digital (0, 12, 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 | Linear OOA(346, 164, F3, 2, 12) (dual of [(164, 2), 282, 13]-NRT-code) | [i] | Extracting Embedded OOA | |
| 2 | Linear OOA(346, 164, F3, 3, 12) (dual of [(164, 3), 446, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(346, 164, F3, 4, 12) (dual of [(164, 4), 610, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(346, 164, F3, 5, 12) (dual of [(164, 5), 774, 13]-NRT-code) | [i] | ||