Information on Result #792915
Digital (52, 78, 128)-net over F3, using trace code for nets based on digital (13, 39, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, 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 (52, 77, 128)-net over F3 | [i] | m-Reduction | |
| 2 | Digital (52, 76, 128)-net over F3 | [i] | ||
| 3 | Linear OOA(378, 128, F3, 2, 26) (dual of [(128, 2), 178, 27]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(378, 128, F3, 3, 26) (dual of [(128, 3), 306, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(378, 128, F3, 4, 26) (dual of [(128, 4), 434, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(378, 128, F3, 5, 26) (dual of [(128, 5), 562, 27]-NRT-code) | [i] | ||