Information on Result #744918
Digital (48, 89, 35)-net over F2, using net from sequence based on digital (48, 34)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 2 places with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, 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 (49, 89, 35)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (50, 89, 35)-net over F2 | [i] | ||
| 3 | Digital (137, 219, 70)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (140, 222, 71)-net over F2 | [i] | ||
| 5 | Digital (143, 225, 77)-net over F2 | [i] | ||
| 6 | Digital (137, 220, 70)-net over F2 | [i] | ||
| 7 | Digital (140, 223, 71)-net over F2 | [i] | ||
| 8 | Digital (143, 226, 77)-net over F2 | [i] | ||
| 9 | Linear OOA(289, 35, F2, 5, 41) (dual of [(35, 5), 86, 42]-NRT-code) | [i] | Extracting Embedded OOA | |
| 10 | Linear OOA(289, 35, F2, 6, 41) (dual of [(35, 6), 121, 42]-NRT-code) | [i] | ||
| 11 | Linear OOA(289, 35, F2, 7, 41) (dual of [(35, 7), 156, 42]-NRT-code) | [i] | ||
| 12 | Linear OOA(289, 35, F2, 8, 41) (dual of [(35, 8), 191, 42]-NRT-code) | [i] | ||