Information on Result #745145
Digital (51, 109, 36)-net over F2, using net from sequence based on digital (51, 35)-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 3 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 (52, 109, 36)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (53, 109, 36)-net over F2 | [i] | ||
| 3 | Digital (119, 177, 70)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (123, 181, 72)-net over F2 | [i] | ||
| 5 | Linear OOA(2109, 36, F2, 5, 58) (dual of [(36, 5), 71, 59]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(2109, 36, F2, 6, 58) (dual of [(36, 6), 107, 59]-NRT-code) | [i] | ||
| 7 | Linear OOA(2109, 36, F2, 7, 58) (dual of [(36, 7), 143, 59]-NRT-code) | [i] | ||
| 8 | Linear OOA(2109, 36, F2, 8, 58) (dual of [(36, 8), 179, 59]-NRT-code) | [i] | ||