Information on Result #801252
Digital (18, 25, 257)-net over F4, using base reduction for projective spaces (embedding PG(6,256) in PG(24,4)) for nets based on digital (0, 7, 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 (132, 146, 1198628)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (171, 185, 4793741)-net over F4 | [i] | ||
| 3 | Digital (143, 158, 1198628)-net over F4 | [i] | ||
| 4 | Digital (182, 197, 4793741)-net over F4 | [i] | ||
| 5 | Linear OOA(425, 257, F4, 2, 7) (dual of [(257, 2), 489, 8]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(425, 257, F4, 3, 7) (dual of [(257, 3), 746, 8]-NRT-code) | [i] | ||