Information on Result #779871
Digital (6, 18, 65)-net over F16, using net from sequence based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [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 (7, 18, 65)-net over F16 | [i] | t-Expansion | |
| 2 | Digital (8, 18, 65)-net over F16 | [i] | ||
| 3 | Digital (60, 72, 260)-net over F2 | [i] | Trace Code for Nets | |
| 4 | Digital (24, 36, 130)-net over F4 | [i] | ||
| 5 | Digital (42, 66, 579)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (44, 68, 581)-net over F16 | [i] | ||
| 7 | Digital (46, 70, 583)-net over F16 | [i] | ||
| 8 | Digital (105, 129, 87446)-net over F16 | [i] | ||
| 9 | Digital (106, 130, 87447)-net over F16 | [i] | ||
| 10 | Digital (43, 68, 579)-net over F16 | [i] | ||
| 11 | Digital (45, 70, 581)-net over F16 | [i] | ||
| 12 | Digital (47, 72, 583)-net over F16 | [i] | ||
| 13 | Digital (91, 128, 1093)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 14 | Digital (93, 130, 1095)-net over F16 | [i] | ||
| 15 | Digital (90, 126, 1093)-net over F16 | [i] | ||
| 16 | Digital (92, 128, 1095)-net over F16 | [i] | ||
| 17 | Digital (94, 130, 1097)-net over F16 | [i] | ||