Information on Result #779499
Digital (3, 15, 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 (48, 60, 152)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (18, 30, 76)-net over F4 | [i] | ||
| 3 | Digital (18, 42, 76)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (19, 43, 83)-net over F16 | [i] | ||
| 5 | Digital (21, 45, 103)-net over F16 | [i] | ||
| 6 | Digital (39, 63, 552)-net over F16 | [i] | ||
| 7 | Digital (85, 109, 10961)-net over F16 | [i] | ||
| 8 | Digital (102, 126, 87419)-net over F16 | [i] | ||
| 9 | Digital (18, 43, 76)-net over F16 | [i] | ||
| 10 | Digital (19, 44, 83)-net over F16 | [i] | ||
| 11 | Digital (21, 46, 103)-net over F16 | [i] | ||
| 12 | Digital (40, 65, 552)-net over F16 | [i] | ||
| 13 | Digital (88, 113, 10960)-net over F16 | [i] | ||
| 14 | Digital (91, 129, 1066)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 15 | Digital (88, 125, 1066)-net over F16 | [i] | ||
| 16 | Digital (87, 123, 1066)-net over F16 | [i] | ||
| 17 | (8, 20, 38)-net in base 8 | [i] | Base Change | |