Information on Result #791254
Digital (58, 81, 75)-net over F2, using trace code for nets based on digital (4, 27, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, 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 (59, 82, 75)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (58, 80, 75)-net over F2 | [i] | m-Reduction | |
| 3 | Linear OOA(281, 75, F2, 3, 23) (dual of [(75, 3), 144, 24]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(281, 75, F2, 4, 23) (dual of [(75, 4), 219, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(281, 75, F2, 5, 23) (dual of [(75, 5), 294, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(281, 75, F2, 6, 23) (dual of [(75, 6), 369, 24]-NRT-code) | [i] | ||
| 7 | Linear OOA(281, 75, F2, 7, 23) (dual of [(75, 7), 444, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(281, 75, F2, 8, 23) (dual of [(75, 8), 519, 24]-NRT-code) | [i] | ||