Information on Result #791269
Digital (66, 87, 105)-net over F2, using trace code for nets based on digital (8, 29, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
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 (67, 88, 105)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (66, 86, 105)-net over F2 | [i] | m-Reduction | |
| 3 | Linear OOA(287, 105, F2, 3, 21) (dual of [(105, 3), 228, 22]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(287, 105, F2, 4, 21) (dual of [(105, 4), 333, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(287, 105, F2, 5, 21) (dual of [(105, 5), 438, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(287, 105, F2, 6, 21) (dual of [(105, 6), 543, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(287, 105, F2, 7, 21) (dual of [(105, 7), 648, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(287, 105, F2, 8, 21) (dual of [(105, 8), 753, 22]-NRT-code) | [i] | ||