Information on Result #792921
Digital (42, 78, 56)-net over F3, using trace code for nets based on digital (3, 39, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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, 77, 56)-net over F3 | [i] | m-Reduction | |
| 2 | Linear OOA(378, 56, F3, 2, 36) (dual of [(56, 2), 34, 37]-NRT-code) | [i] | Extracting Embedded OOA | |
| 3 | Linear OOA(378, 56, F3, 3, 36) (dual of [(56, 3), 90, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(378, 56, F3, 4, 36) (dual of [(56, 4), 146, 37]-NRT-code) | [i] | ||
| 5 | Linear OOA(378, 56, F3, 5, 36) (dual of [(56, 5), 202, 37]-NRT-code) | [i] | ||