Information on Result #795043
Digital (16, 32, 34)-net over F4, using trace code for nets based on digital (0, 16, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(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 (16, 31, 34)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (128, 160, 1062)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (131, 164, 1062)-net over F4 | [i] | ||
| 4 | Linear OOA(432, 34, F4, 2, 16) (dual of [(34, 2), 36, 17]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(432, 34, F4, 3, 16) (dual of [(34, 3), 70, 17]-NRT-code) | [i] | ||