Information on Result #753022
Digital (27, 105, 37)-net over F3, using net from sequence based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, 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 (28, 105, 37)-net over F3 | [i] | t-Expansion | |
2 | Digital (29, 105, 37)-net over F3 | [i] | ||
3 | Digital (30, 105, 37)-net over F3 | [i] | ||
4 | Digital (31, 105, 37)-net over F3 | [i] | ||
5 | Digital (79, 157, 61)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
6 | Digital (81, 159, 65)-net over F3 | [i] | ||
7 | Digital (87, 165, 69)-net over F3 | [i] | ||
8 | Digital (92, 170, 73)-net over F3 | [i] | ||
9 | Digital (93, 171, 74)-net over F3 | [i] | ||
10 | Linear OOA(3105, 37, F3, 3, 78) (dual of [(37, 3), 6, 79]-NRT-code) | [i] | Extracting Embedded OOA | |
11 | Linear OOA(3105, 37, F3, 4, 78) (dual of [(37, 4), 43, 79]-NRT-code) | [i] | ||
12 | Linear OOA(3105, 37, F3, 5, 78) (dual of [(37, 5), 80, 79]-NRT-code) | [i] |