Information on Result #745988
Digital (70, 172, 49)-net over F2, using net from sequence based on digital (70, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, and 1 place with degree 2 [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 (71, 172, 49)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (72, 172, 49)-net over F2 | [i] | ||
| 3 | Digital (73, 172, 49)-net over F2 | [i] | ||
| 4 | Digital (74, 172, 49)-net over F2 | [i] | ||
| 5 | Digital (140, 242, 69)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (142, 244, 70)-net over F2 | [i] | ||
| 7 | Linear OOA(2172, 49, F2, 4, 102) (dual of [(49, 4), 24, 103]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(2172, 49, F2, 5, 102) (dual of [(49, 5), 73, 103]-NRT-code) | [i] | ||
| 9 | Linear OOA(2172, 49, F2, 6, 102) (dual of [(49, 6), 122, 103]-NRT-code) | [i] | ||
| 10 | Linear OOA(2172, 49, F2, 7, 102) (dual of [(49, 7), 171, 103]-NRT-code) | [i] | ||
| 11 | Linear OOA(2172, 49, F2, 8, 102) (dual of [(49, 8), 220, 103]-NRT-code) | [i] | ||