Information on Result #745995
Digital (70, 179, 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, 179, 49)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (72, 179, 49)-net over F2 | [i] | ||
| 3 | Digital (73, 179, 49)-net over F2 | [i] | ||
| 4 | Digital (74, 179, 49)-net over F2 | [i] | ||
| 5 | Digital (143, 252, 69)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (145, 254, 70)-net over F2 | [i] | ||
| 7 | Linear OOA(2179, 49, F2, 4, 109) (dual of [(49, 4), 17, 110]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(2179, 49, F2, 5, 109) (dual of [(49, 5), 66, 110]-NRT-code) | [i] | ||
| 9 | Linear OOA(2179, 49, F2, 6, 109) (dual of [(49, 6), 115, 110]-NRT-code) | [i] | ||
| 10 | Linear OOA(2179, 49, F2, 7, 109) (dual of [(49, 7), 164, 110]-NRT-code) | [i] | ||
| 11 | Linear OOA(2179, 49, F2, 8, 109) (dual of [(49, 8), 213, 110]-NRT-code) | [i] | ||