Information on Result #790753
Digital (82, 144, 54)-net over F2, using trace code for nets based on digital (10, 72, 27)-net over F4, using
- net from sequence [i] based on digital (10, 26)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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 (82, 143, 54)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (82, 142, 54)-net over F2 | [i] | ||
| 3 | Digital (82, 141, 54)-net over F2 | [i] | ||
| 4 | Linear OOA(2144, 54, F2, 3, 62) (dual of [(54, 3), 18, 63]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(2144, 54, F2, 4, 62) (dual of [(54, 4), 72, 63]-NRT-code) | [i] | ||
| 6 | Linear OOA(2144, 54, F2, 5, 62) (dual of [(54, 5), 126, 63]-NRT-code) | [i] | ||
| 7 | Linear OOA(2144, 54, F2, 6, 62) (dual of [(54, 6), 180, 63]-NRT-code) | [i] | ||
| 8 | Linear OOA(2144, 54, F2, 7, 62) (dual of [(54, 7), 234, 63]-NRT-code) | [i] | ||
| 9 | Linear OOA(2144, 54, F2, 8, 62) (dual of [(54, 8), 288, 63]-NRT-code) | [i] | ||