Information on Result #791244
Digital (57, 78, 84)-net over F2, using trace code for nets based on digital (5, 26, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, 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, 78, 84)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (58, 79, 84)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (57, 77, 84)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (57, 76, 84)-net over F2 | [i] | ||
| 5 | Linear OOA(278, 84, F2, 4, 21) (dual of [(84, 4), 258, 22]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(278, 84, F2, 5, 21) (dual of [(84, 5), 342, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(278, 84, F2, 6, 21) (dual of [(84, 6), 426, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(278, 84, F2, 7, 21) (dual of [(84, 7), 510, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(278, 84, F2, 8, 21) (dual of [(84, 8), 594, 22]-NRT-code) | [i] | ||