Information on Result #793134
Digital (78, 122, 148)-net over F3, using trace code for nets based on digital (17, 61, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, 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 (78, 121, 148)-net over F3 | [i] | m-Reduction | |
| 2 | Digital (78, 120, 148)-net over F3 | [i] | ||
| 3 | Digital (78, 119, 148)-net over F3 | [i] | ||
| 4 | Digital (78, 118, 148)-net over F3 | [i] | ||
| 5 | Digital (78, 117, 148)-net over F3 | [i] | ||
| 6 | Digital (78, 116, 148)-net over F3 | [i] | ||
| 7 | Digital (78, 115, 148)-net over F3 | [i] | ||
| 8 | Digital (78, 114, 148)-net over F3 | [i] | ||
| 9 | Digital (78, 113, 148)-net over F3 | [i] | ||
| 10 | Linear OOA(3122, 148, F3, 2, 44) (dual of [(148, 2), 174, 45]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(3122, 148, F3, 3, 44) (dual of [(148, 3), 322, 45]-NRT-code) | [i] | ||
| 12 | Linear OOA(3122, 148, F3, 4, 44) (dual of [(148, 4), 470, 45]-NRT-code) | [i] | ||
| 13 | Linear OOA(3122, 148, F3, 5, 44) (dual of [(148, 5), 618, 45]-NRT-code) | [i] | ||