Information on Result #797047
Digital (55, 90, 252)-net over F5, using trace code for nets based on digital (10, 45, 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 (55, 89, 252)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (55, 88, 252)-net over F5 | [i] | ||
| 3 | Digital (55, 87, 252)-net over F5 | [i] | ||
| 4 | Digital (55, 86, 252)-net over F5 | [i] | ||
| 5 | Digital (55, 85, 252)-net over F5 | [i] | ||
| 6 | Digital (55, 84, 252)-net over F5 | [i] | ||
| 7 | Digital (55, 83, 252)-net over F5 | [i] | ||
| 8 | Digital (55, 82, 252)-net over F5 | [i] | ||
| 9 | Digital (55, 81, 252)-net over F5 | [i] | ||
| 10 | Digital (55, 80, 252)-net over F5 | [i] | ||
| 11 | Digital (55, 79, 252)-net over F5 | [i] | ||
| 12 | Digital (72, 107, 258)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 13 | Digital (107, 142, 460)-net over F5 | [i] | ||
| 14 | Digital (109, 144, 504)-net over F5 | [i] | ||
| 15 | Linear OOA(590, 252, F5, 2, 35) (dual of [(252, 2), 414, 36]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(590, 252, F5, 3, 35) (dual of [(252, 3), 666, 36]-NRT-code) | [i] | ||