Information on Result #797005
Digital (50, 80, 252)-net over F5, using trace code for nets based on digital (10, 40, 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 (50, 79, 252)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (50, 78, 252)-net over F5 | [i] | ||
| 3 | Digital (50, 77, 252)-net over F5 | [i] | ||
| 4 | Digital (50, 76, 252)-net over F5 | [i] | ||
| 5 | Digital (50, 75, 252)-net over F5 | [i] | ||
| 6 | Digital (50, 74, 252)-net over F5 | [i] | ||
| 7 | Digital (50, 73, 252)-net over F5 | [i] | ||
| 8 | Digital (50, 72, 252)-net over F5 | [i] | ||
| 9 | Digital (50, 71, 252)-net over F5 | [i] | ||
| 10 | Digital (65, 95, 258)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 11 | Digital (66, 96, 262)-net over F5 | [i] | ||
| 12 | Digital (67, 97, 264)-net over F5 | [i] | ||
| 13 | Digital (98, 128, 460)-net over F5 | [i] | ||
| 14 | Digital (100, 130, 504)-net over F5 | [i] | ||
| 15 | Digital (110, 140, 510)-net over F5 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 16 | Digital (111, 141, 514)-net over F5 | [i] | ||
| 17 | Linear OOA(580, 252, F5, 2, 30) (dual of [(252, 2), 424, 31]-NRT-code) | [i] | Extracting Embedded OOA | |
| 18 | Linear OOA(580, 252, F5, 3, 30) (dual of [(252, 3), 676, 31]-NRT-code) | [i] | ||