Information on Result #746334
Digital (80, 157, 51)-net over F2, using net from sequence based on digital (80, 50)-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 2 places 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 (81, 157, 51)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (82, 157, 51)-net over F2 | [i] | ||
| 3 | Digital (83, 157, 51)-net over F2 | [i] | ||
| 4 | Digital (84, 157, 51)-net over F2 | [i] | ||
| 5 | Linear OOA(2157, 51, F2, 6, 77) (dual of [(51, 6), 149, 78]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(2157, 51, F2, 7, 77) (dual of [(51, 7), 200, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(2157, 51, F2, 8, 77) (dual of [(51, 8), 251, 78]-NRT-code) | [i] | ||