Information on Result #798181
Digital (4, 8, 130)-net over F8, using trace code 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 (16, 24, 260)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (18, 26, 290)-net over F8 | [i] | ||
| 3 | Digital (58, 66, 4194430)-net over F8 | [i] | ||
| 4 | Digital (17, 26, 260)-net over F8 | [i] | ||
| 5 | Digital (19, 28, 290)-net over F8 | [i] | ||
| 6 | Digital (56, 65, 2097280)-net over F8 | [i] | ||
| 7 | Digital (65, 74, 4194430)-net over F8 | [i] | ||
| 8 | Digital (154, 168, 4793632)-net over F8 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 9 | Digital (156, 170, 4793753)-net over F8 | [i] | ||
| 10 | Digital (157, 171, 4793817)-net over F8 | [i] | ||
| 11 | Digital (158, 172, 4793874)-net over F8 | [i] | ||
| 12 | Digital (152, 166, 4793623)-net over F8 | [i] | ||
| 13 | Digital (153, 167, 4793679)-net over F8 | [i] | ||
| 14 | Digital (154, 168, 4793744)-net over F8 | [i] | ||
| 15 | Digital (137, 150, 5592539)-net over F8 | [i] | ||
| 16 | Digital (138, 151, 5592595)-net over F8 | [i] | ||
| 17 | Digital (130, 142, 5592539)-net over F8 | [i] | ||
| 18 | Digital (131, 143, 5592595)-net over F8 | [i] | ||
| 19 | Digital (149, 163, 4793614)-net over F8 | [i] | ||
| 20 | Digital (134, 147, 5592530)-net over F8 | [i] | ||
| 21 | Digital (127, 139, 5592530)-net over F8 | [i] | ||
| 22 | Digital (19, 27, 333)-net over F8 | [i] | ||
| 23 | Linear OOA(88, 130, F8, 2, 4) (dual of [(130, 2), 252, 5]-NRT-code) | [i] | Extracting Embedded OOA | |
| 24 | Linear OOA(88, 130, F8, 3, 4) (dual of [(130, 3), 382, 5]-NRT-code) | [i] | ||