Information on Result #796891
Digital (35, 50, 252)-net over F5, using trace code for nets based on digital (10, 25, 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 (35, 49, 252)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (35, 48, 252)-net over F5 | [i] | ||
| 3 | Digital (42, 57, 258)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (43, 58, 262)-net over F5 | [i] | ||
| 5 | Digital (100, 130, 504)-net over F5 | [i] | ||
| 6 | Digital (101, 132, 504)-net over F5 | [i] | ||
| 7 | Digital (111, 142, 510)-net over F5 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Digital (112, 143, 514)-net over F5 | [i] | ||
| 9 | Digital (110, 140, 510)-net over F5 | [i] | ||
| 10 | Digital (111, 141, 514)-net over F5 | [i] | ||
| 11 | Linear OOA(550, 252, F5, 3, 15) (dual of [(252, 3), 706, 16]-NRT-code) | [i] | Extracting Embedded OOA | |