Information on Result #745576
Digital (59, 137, 43)-net over F2, using net from sequence based on digital (59, 42)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 54, N(F) = 42, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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 (60, 137, 43)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (61, 137, 43)-net over F2 | [i] | ||
| 3 | Digital (62, 137, 43)-net over F2 | [i] | ||
| 4 | Digital (63, 137, 43)-net over F2 | [i] | ||
| 5 | Digital (64, 137, 43)-net over F2 | [i] | ||
| 6 | Digital (65, 137, 43)-net over F2 | [i] | ||
| 7 | Digital (66, 137, 43)-net over F2 | [i] | ||
| 8 | Digital (67, 137, 43)-net over F2 | [i] | ||
| 9 | Digital (68, 137, 43)-net over F2 | [i] | ||
| 10 | Digital (137, 215, 76)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 11 | Linear OOA(2137, 43, F2, 6, 78) (dual of [(43, 6), 121, 79]-NRT-code) | [i] | Extracting Embedded OOA | |
| 12 | Linear OOA(2137, 43, F2, 7, 78) (dual of [(43, 7), 164, 79]-NRT-code) | [i] | ||
| 13 | Linear OOA(2137, 43, F2, 8, 78) (dual of [(43, 8), 207, 79]-NRT-code) | [i] | ||