Information on Result #801472
Digital (4, 9, 257)-net over F16, using base reduction for projective spaces (embedding PG(4,256) in PG(8,16)) for nets based on digital (0, 5, 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]
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 (13, 18, 514)-net over F4 | [i] | Trace Code for Nets | |
| 2 | Digital (55, 65, 3355697)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (49, 60, 209973)-net over F16 | [i] | ||
| 4 | Digital (60, 71, 3355697)-net over F16 | [i] | ||
| 5 | Digital (41, 56, 1285)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 6 | Digital (41, 56, 1302)-net over F16 | [i] | ||
| 7 | Digital (42, 59, 1285)-net over F16 | [i] | ||
| 8 | Digital (41, 57, 1285)-net over F16 | [i] | ||
| 9 | Digital (38, 53, 1285)-net over F16 | [i] | ||
| 10 | Linear OOA(169, 257, F16, 2, 5) (dual of [(257, 2), 505, 6]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | (7, 12, 257)-net in base 8 | [i] | Base Change | |