Information on Result #798122
Digital (74, 106, 688)-net over F7, using trace code for nets based on digital (21, 53, 344)-net over F49, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, 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 (74, 105, 688)-net over F7 | [i] | m-Reduction | |
| 2 | Digital (74, 104, 688)-net over F7 | [i] | ||
| 3 | Digital (74, 103, 688)-net over F7 | [i] | ||
| 4 | Digital (74, 102, 688)-net over F7 | [i] | ||
| 5 | Digital (74, 101, 688)-net over F7 | [i] | ||
| 6 | Digital (74, 100, 688)-net over F7 | [i] | ||
| 7 | Digital (74, 99, 688)-net over F7 | [i] | ||
| 8 | Digital (74, 98, 688)-net over F7 | [i] | ||
| 9 | Linear OOA(7106, 688, F7, 2, 32) (dual of [(688, 2), 1270, 33]-NRT-code) | [i] | Extracting Embedded OOA | |
| 10 | Linear OOA(7106, 688, F7, 3, 32) (dual of [(688, 3), 1958, 33]-NRT-code) | [i] | ||