Information on Result #797029
Digital (53, 86, 252)-net over F5, using trace code for nets based on digital (10, 43, 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 (53, 85, 252)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (53, 84, 252)-net over F5 | [i] | ||
| 3 | Digital (53, 83, 252)-net over F5 | [i] | ||
| 4 | Digital (53, 82, 252)-net over F5 | [i] | ||
| 5 | Digital (53, 81, 252)-net over F5 | [i] | ||
| 6 | Digital (53, 80, 252)-net over F5 | [i] | ||
| 7 | Digital (53, 79, 252)-net over F5 | [i] | ||
| 8 | Digital (53, 78, 252)-net over F5 | [i] | ||
| 9 | Digital (53, 77, 252)-net over F5 | [i] | ||
| 10 | Digital (53, 76, 252)-net over F5 | [i] | ||
| 11 | Digital (69, 102, 258)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 12 | Digital (70, 103, 262)-net over F5 | [i] | ||
| 13 | Digital (103, 136, 460)-net over F5 | [i] | ||
| 14 | Digital (105, 138, 504)-net over F5 | [i] | ||
| 15 | Linear OOA(586, 252, F5, 2, 33) (dual of [(252, 2), 418, 34]-NRT-code) | [i] | Extracting Embedded OOA | |
| 16 | Linear OOA(586, 252, F5, 3, 33) (dual of [(252, 3), 670, 34]-NRT-code) | [i] | ||