Information on Result #790461
Digital (37, 66, 30)-net over F2, using trace code for nets based on digital (4, 33, 15)-net over F4, using
- net from sequence [i] based on digital (4, 14)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, 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 (37, 65, 30)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (120, 178, 72)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (120, 179, 72)-net over F2 | [i] | ||
| 4 | Linear OOA(266, 30, F2, 3, 29) (dual of [(30, 3), 24, 30]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(266, 30, F2, 4, 29) (dual of [(30, 4), 54, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(266, 30, F2, 5, 29) (dual of [(30, 5), 84, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(266, 30, F2, 6, 29) (dual of [(30, 6), 114, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(266, 30, F2, 7, 29) (dual of [(30, 7), 144, 30]-NRT-code) | [i] | ||
| 9 | Linear OOA(266, 30, F2, 8, 29) (dual of [(30, 8), 174, 30]-NRT-code) | [i] | ||