Information on Result #795033
Digital (18, 30, 76)-net over F4, using trace code for nets based on digital (3, 15, 38)-net over F16, using
- net from sequence [i] 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 (18, 29, 76)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (222, 246, 699126)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (222, 247, 699126)-net over F4 | [i] | ||
| 4 | Linear OOA(430, 76, F4, 2, 12) (dual of [(76, 2), 122, 13]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(430, 76, F4, 3, 12) (dual of [(76, 3), 198, 13]-NRT-code) | [i] | ||