Information on Result #801409
Digital (3, 7, 82)-net over F9, using base reduction for projective spaces (embedding PG(3,81) in PG(6,9)) for nets based on digital (0, 4, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(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 (15, 23, 246)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (57, 65, 4194382)-net over F9 | [i] | ||
| 3 | Digital (16, 25, 246)-net over F9 | [i] | ||
| 4 | Digital (38, 47, 14843)-net over F9 | [i] | ||
| 5 | Digital (54, 63, 1195823)-net over F9 | [i] | ||
| 6 | Digital (64, 73, 4194382)-net over F9 | [i] | ||
| 7 | Digital (136, 149, 5592492)-net over F9 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Digital (137, 150, 5592564)-net over F9 | [i] | ||
| 9 | Digital (129, 141, 5592492)-net over F9 | [i] | ||
| 10 | Digital (130, 142, 5592564)-net over F9 | [i] | ||
| 11 | Digital (133, 146, 5592482)-net over F9 | [i] | ||
| 12 | Digital (126, 138, 5592482)-net over F9 | [i] | ||
| 13 | Linear OOA(97, 82, F9, 2, 4) (dual of [(82, 2), 157, 5]-NRT-code) | [i] | Extracting Embedded OOA | |
| 14 | Linear OOA(97, 82, F9, 3, 4) (dual of [(82, 3), 239, 5]-NRT-code) | [i] | ||