Information on Result #790642
Digital (72, 114, 66)-net over F2, using trace code for nets based on digital (15, 57, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, 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 (72, 113, 66)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (72, 112, 66)-net over F2 | [i] | ||
| 3 | Digital (72, 111, 66)-net over F2 | [i] | ||
| 4 | Digital (72, 110, 66)-net over F2 | [i] | ||
| 5 | Digital (72, 109, 66)-net over F2 | [i] | ||
| 6 | Digital (72, 108, 66)-net over F2 | [i] | ||
| 7 | Digital (72, 107, 66)-net over F2 | [i] | ||
| 8 | Digital (72, 106, 66)-net over F2 | [i] | ||
| 9 | Digital (72, 105, 66)-net over F2 | [i] | ||
| 10 | Digital (72, 104, 66)-net over F2 | [i] | ||
| 11 | Linear OOA(2114, 66, F2, 3, 42) (dual of [(66, 3), 84, 43]-NRT-code) | [i] | Extracting Embedded OOA | |
| 12 | Linear OOA(2114, 66, F2, 4, 42) (dual of [(66, 4), 150, 43]-NRT-code) | [i] | ||
| 13 | Linear OOA(2114, 66, F2, 5, 42) (dual of [(66, 5), 216, 43]-NRT-code) | [i] | ||
| 14 | Linear OOA(2114, 66, F2, 6, 42) (dual of [(66, 6), 282, 43]-NRT-code) | [i] | ||
| 15 | Linear OOA(2114, 66, F2, 7, 42) (dual of [(66, 7), 348, 43]-NRT-code) | [i] | ||
| 16 | Linear OOA(2114, 66, F2, 8, 42) (dual of [(66, 8), 414, 43]-NRT-code) | [i] | ||