Information on Result #795163
Digital (43, 74, 130)-net over F4, using trace code for nets based on digital (6, 37, 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 (43, 73, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (43, 72, 130)-net over F4 | [i] | ||
| 3 | Digital (43, 71, 130)-net over F4 | [i] | ||
| 4 | Digital (43, 70, 130)-net over F4 | [i] | ||
| 5 | Digital (43, 69, 130)-net over F4 | [i] | ||
| 6 | Digital (43, 68, 130)-net over F4 | [i] | ||
| 7 | Digital (43, 67, 130)-net over F4 | [i] | ||
| 8 | Digital (43, 66, 130)-net over F4 | [i] | ||
| 9 | Digital (43, 65, 130)-net over F4 | [i] | ||
| 10 | Digital (58, 89, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 11 | Digital (59, 90, 139)-net over F4 | [i] | ||
| 12 | Digital (60, 91, 140)-net over F4 | [i] | ||
| 13 | Digital (61, 92, 144)-net over F4 | [i] | ||
| 14 | Linear OOA(474, 130, F4, 2, 31) (dual of [(130, 2), 186, 32]-NRT-code) | [i] | Extracting Embedded OOA | |
| 15 | Linear OOA(474, 130, F4, 3, 31) (dual of [(130, 3), 316, 32]-NRT-code) | [i] | ||