Information on Result #801268
Digital (6, 13, 50)-net over F7, using base reduction for projective spaces (embedding PG(6,49) in PG(12,7)) for nets based on digital (0, 7, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(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 (27, 41, 150)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (28, 43, 150)-net over F7 | [i] | ||
| 3 | Digital (63, 86, 258)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (62, 84, 258)-net over F7 | [i] | ||
| 5 | Digital (59, 80, 258)-net over F7 | [i] | ||
| 6 | Digital (60, 81, 263)-net over F7 | [i] | ||
| 7 | Digital (58, 81, 250)-net over F7 | [i] | ||
| 8 | Digital (57, 79, 250)-net over F7 | [i] | ||
| 9 | Digital (54, 75, 250)-net over F7 | [i] | ||
| 10 | Linear OOA(713, 50, F7, 2, 7) (dual of [(50, 2), 87, 8]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(713, 50, F7, 3, 7) (dual of [(50, 3), 137, 8]-NRT-code) | [i] | ||