Information on Result #801341
Digital (3, 7, 65)-net over F8, using base reduction for projective spaces (embedding PG(3,64) in PG(6,8)) for nets based on digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(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 (57, 65, 4194365)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (55, 64, 2097215)-net over F8 | [i] | ||
| 3 | Digital (64, 73, 4194365)-net over F8 | [i] | ||
| 4 | Digital (153, 167, 4793567)-net over F8 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 5 | Digital (154, 168, 4793623)-net over F8 | [i] | ||
| 6 | Digital (151, 165, 4793558)-net over F8 | [i] | ||
| 7 | Digital (152, 166, 4793614)-net over F8 | [i] | ||
| 8 | Digital (136, 149, 5592474)-net over F8 | [i] | ||
| 9 | Digital (137, 150, 5592530)-net over F8 | [i] | ||
| 10 | Digital (129, 141, 5592474)-net over F8 | [i] | ||
| 11 | Digital (130, 142, 5592530)-net over F8 | [i] | ||
| 12 | Digital (148, 162, 4793549)-net over F8 | [i] | ||
| 13 | Digital (133, 146, 5592465)-net over F8 | [i] | ||
| 14 | Digital (126, 138, 5592465)-net over F8 | [i] | ||
| 15 | Linear OOA(87, 65, F8, 2, 4) (dual of [(65, 2), 123, 5]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(87, 65, F8, 3, 4) (dual of [(65, 3), 188, 5]-NRT-code) | [i] | ||