Information on Result #801476
Digital (8, 17, 257)-net over F16, using base reduction for projective spaces (embedding PG(8,256) in PG(16,16)) for nets based on digital (0, 9, 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 (59, 68, 1028)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (25, 34, 514)-net over F4 | [i] | ||
| 3 | Digital (35, 53, 771)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (103, 121, 1864391)-net over F16 | [i] | ||
| 5 | Digital (36, 55, 771)-net over F16 | [i] | ||
| 6 | Digital (108, 127, 1864389)-net over F16 | [i] | ||
| 7 | Digital (74, 103, 1285)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Digital (73, 101, 1285)-net over F16 | [i] | ||
| 9 | Digital (70, 97, 1285)-net over F16 | [i] | ||
| 10 | Linear OOA(1617, 257, F16, 2, 9) (dual of [(257, 2), 497, 10]-NRT-code) | [i] | Extracting Embedded OOA | |