Information on Result #796907
Digital (37, 54, 252)-net over F5, using trace code for nets based on digital (10, 27, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
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 (37, 53, 252)-net over F5 | [i] | m-Reduction | |
2 | Digital (37, 52, 252)-net over F5 | [i] | ||
3 | Digital (37, 51, 252)-net over F5 | [i] | ||
4 | Digital (45, 62, 258)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
5 | Digital (46, 63, 262)-net over F5 | [i] | ||
6 | Digital (47, 64, 264)-net over F5 | [i] | ||
7 | Digital (48, 65, 268)-net over F5 | [i] | ||
8 | Digital (108, 142, 504)-net over F5 | [i] | ||
9 | Digital (109, 144, 504)-net over F5 | [i] | ||
10 | Linear OOA(554, 252, F5, 3, 17) (dual of [(252, 3), 702, 18]-NRT-code) | [i] | Extracting Embedded OOA |