Information on Result #797302
Digital (81, 142, 252)-net over F5, using trace code for nets based on digital (10, 71, 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 (81, 141, 252)-net over F5 | [i] | m-Reduction | |
| 2 | Digital (81, 140, 252)-net over F5 | [i] | ||
| 3 | Digital (81, 139, 252)-net over F5 | [i] | ||
| 4 | Digital (81, 138, 252)-net over F5 | [i] | ||
| 5 | Digital (81, 137, 252)-net over F5 | [i] | ||
| 6 | Digital (81, 136, 252)-net over F5 | [i] | ||
| 7 | Digital (81, 135, 252)-net over F5 | [i] | ||
| 8 | Digital (81, 134, 252)-net over F5 | [i] | ||
| 9 | Digital (81, 133, 252)-net over F5 | [i] | ||
| 10 | Digital (81, 132, 252)-net over F5 | [i] | ||
| 11 | Digital (81, 131, 252)-net over F5 | [i] | ||
| 12 | Digital (81, 130, 252)-net over F5 | [i] | ||
| 13 | Digital (81, 129, 252)-net over F5 | [i] | ||
| 14 | Digital (81, 128, 252)-net over F5 | [i] | ||
| 15 | Digital (81, 127, 252)-net over F5 | [i] | ||
| 16 | Digital (81, 126, 252)-net over F5 | [i] | ||
| 17 | Digital (81, 125, 252)-net over F5 | [i] | ||
| 18 | Linear OOA(5142, 252, F5, 2, 61) (dual of [(252, 2), 362, 62]-NRT-code) | [i] | Extracting Embedded OOA | |
| 19 | Linear OOA(5142, 252, F5, 3, 61) (dual of [(252, 3), 614, 62]-NRT-code) | [i] | ||