Information on Result #746158
Digital (75, 159, 50)-net over F2, using net from sequence based on digital (75, 49)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [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 (76, 159, 50)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (77, 159, 50)-net over F2 | [i] | ||
| 3 | Digital (78, 159, 50)-net over F2 | [i] | ||
| 4 | Digital (79, 159, 50)-net over F2 | [i] | ||
| 5 | Linear OOA(2159, 50, F2, 6, 84) (dual of [(50, 6), 141, 85]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(2159, 50, F2, 7, 84) (dual of [(50, 7), 191, 85]-NRT-code) | [i] | ||
| 7 | Linear OOA(2159, 50, F2, 8, 84) (dual of [(50, 8), 241, 85]-NRT-code) | [i] | ||