Information on Result #801553
Digital (31, 42, 514)-net over F4, using trace code for nets based on digital (10, 21, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(10,256) in PG(20,16)) for nets [i] based on digital (0, 11, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, 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 (213, 235, 763114)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (111, 134, 1542)-net over F4 | [i] | ||
| 3 | Digital (224, 247, 763114)-net over F4 | [i] | ||
| 4 | Linear OOA(442, 514, F4, 3, 11) (dual of [(514, 3), 1500, 12]-NRT-code) | [i] | Extracting Embedded OOA | |