Information on Result #746512
Digital (85, 162, 52)-net over F2, using net from sequence based on digital (85, 51)-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 3 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 (86, 162, 52)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (87, 162, 52)-net over F2 | [i] | ||
| 3 | Digital (88, 162, 52)-net over F2 | [i] | ||
| 4 | Digital (89, 162, 52)-net over F2 | [i] | ||
| 5 | Linear OOA(2162, 52, F2, 6, 77) (dual of [(52, 6), 150, 78]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(2162, 52, F2, 7, 77) (dual of [(52, 7), 202, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(2162, 52, F2, 8, 77) (dual of [(52, 8), 254, 78]-NRT-code) | [i] | ||