Information on Result #795158
Digital (42, 72, 130)-net over F4, using trace code for nets based on digital (6, 36, 65)-net over F16, using
- net from sequence [i] 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]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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 (42, 71, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (42, 70, 130)-net over F4 | [i] | ||
| 3 | Digital (42, 69, 130)-net over F4 | [i] | ||
| 4 | Digital (42, 68, 130)-net over F4 | [i] | ||
| 5 | Digital (42, 67, 130)-net over F4 | [i] | ||
| 6 | Digital (42, 66, 130)-net over F4 | [i] | ||
| 7 | Digital (42, 65, 130)-net over F4 | [i] | ||
| 8 | Digital (42, 64, 130)-net over F4 | [i] | ||
| 9 | Digital (57, 87, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 10 | Digital (58, 88, 139)-net over F4 | [i] | ||
| 11 | Digital (59, 89, 140)-net over F4 | [i] | ||
| 12 | Linear OOA(472, 130, F4, 2, 30) (dual of [(130, 2), 188, 31]-NRT-code) | [i] | Extracting Embedded OOA | |
| 13 | Linear OOA(472, 130, F4, 3, 30) (dual of [(130, 3), 318, 31]-NRT-code) | [i] | ||