Information on Result #791255
Digital (57, 81, 72)-net over F2, using trace code for nets based on digital (3, 27, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, 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 (58, 82, 72)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (57, 80, 72)-net over F2 | [i] | m-Reduction | |
| 3 | Linear OOA(281, 72, F2, 3, 24) (dual of [(72, 3), 135, 25]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(281, 72, F2, 4, 24) (dual of [(72, 4), 207, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(281, 72, F2, 5, 24) (dual of [(72, 5), 279, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(281, 72, F2, 6, 24) (dual of [(72, 6), 351, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(281, 72, F2, 7, 24) (dual of [(72, 7), 423, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(281, 72, F2, 8, 24) (dual of [(72, 8), 495, 25]-NRT-code) | [i] | ||