Information on Result #790419
Digital (32, 58, 28)-net over F2, using trace code for nets based on digital (3, 29, 14)-net over F4, using
- net from sequence [i] based on digital (3, 13)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, 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 (32, 57, 28)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (112, 164, 70)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (112, 165, 70)-net over F2 | [i] | ||
| 4 | Linear OOA(258, 28, F2, 3, 26) (dual of [(28, 3), 26, 27]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(258, 28, F2, 4, 26) (dual of [(28, 4), 54, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(258, 28, F2, 5, 26) (dual of [(28, 5), 82, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(258, 28, F2, 6, 26) (dual of [(28, 6), 110, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(258, 28, F2, 7, 26) (dual of [(28, 7), 138, 27]-NRT-code) | [i] | ||
| 9 | Linear OOA(258, 28, F2, 8, 26) (dual of [(28, 8), 166, 27]-NRT-code) | [i] | ||