Information on Result #791253
Digital (59, 81, 84)-net over F2, using trace code for nets based on digital (5, 27, 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 (60, 81, 84)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (60, 82, 84)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (59, 80, 84)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (59, 79, 84)-net over F2 | [i] | ||
| 5 | Linear OOA(281, 84, F2, 2, 22) (dual of [(84, 2), 87, 23]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(281, 84, F2, 3, 22) (dual of [(84, 3), 171, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(281, 84, F2, 4, 22) (dual of [(84, 4), 255, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(281, 84, F2, 5, 22) (dual of [(84, 5), 339, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(281, 84, F2, 6, 22) (dual of [(84, 6), 423, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(281, 84, F2, 7, 22) (dual of [(84, 7), 507, 23]-NRT-code) | [i] | ||
| 11 | Linear OOA(281, 84, F2, 8, 22) (dual of [(84, 8), 591, 23]-NRT-code) | [i] | ||