Information on Result #779496
Digital (3, 12, 38)-net over F16, using net from sequence based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
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 (39, 48, 152)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (15, 24, 76)-net over F4 | [i] | ||
| 3 | Digital (15, 33, 76)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (16, 34, 83)-net over F16 | [i] | ||
| 5 | Digital (30, 48, 552)-net over F16 | [i] | ||
| 6 | Digital (75, 93, 116547)-net over F16 | [i] | ||
| 7 | Digital (98, 116, 1864172)-net over F16 | [i] | ||
| 8 | Digital (15, 34, 76)-net over F16 | [i] | ||
| 9 | Digital (16, 35, 83)-net over F16 | [i] | ||
| 10 | Digital (31, 50, 552)-net over F16 | [i] | ||
| 11 | Digital (79, 98, 116546)-net over F16 | [i] | ||
| 12 | Digital (103, 122, 1864170)-net over F16 | [i] | ||
| 13 | Digital (78, 107, 1099)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 14 | Digital (79, 108, 1104)-net over F16 | [i] | ||
| 15 | Digital (73, 100, 1099)-net over F16 | [i] | ||
| 16 | Digital (69, 98, 1066)-net over F16 | [i] | ||
| 17 | Digital (68, 96, 1066)-net over F16 | [i] | ||
| 18 | Digital (65, 92, 1066)-net over F16 | [i] | ||
| 19 | (7, 16, 38)-net in base 8 | [i] | Base Change | |