Information on Result #790511
Digital (48, 78, 44)-net over F2, using trace code for nets based on digital (9, 39, 22)-net over F4, using
- net from sequence [i] based on digital (9, 21)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 22, 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 (48, 77, 44)-net over F2 | [i] | m-Reduction | |
| 2 | Linear OOA(278, 44, F2, 3, 30) (dual of [(44, 3), 54, 31]-NRT-code) | [i] | Extracting Embedded OOA | |
| 3 | Linear OOA(278, 44, F2, 4, 30) (dual of [(44, 4), 98, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(278, 44, F2, 5, 30) (dual of [(44, 5), 142, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 44, F2, 6, 30) (dual of [(44, 6), 186, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(278, 44, F2, 7, 30) (dual of [(44, 7), 230, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(278, 44, F2, 8, 30) (dual of [(44, 8), 274, 31]-NRT-code) | [i] | ||