Information on Result #790708
Digital (81, 132, 66)-net over F2, using trace code for nets based on digital (15, 66, 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 (81, 131, 66)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (81, 130, 66)-net over F2 | [i] | ||
| 3 | Digital (81, 129, 66)-net over F2 | [i] | ||
| 4 | Digital (81, 128, 66)-net over F2 | [i] | ||
| 5 | Digital (81, 127, 66)-net over F2 | [i] | ||
| 6 | Digital (81, 126, 66)-net over F2 | [i] | ||
| 7 | Digital (81, 125, 66)-net over F2 | [i] | ||
| 8 | Digital (81, 124, 66)-net over F2 | [i] | ||
| 9 | Digital (81, 123, 66)-net over F2 | [i] | ||
| 10 | Digital (81, 122, 66)-net over F2 | [i] | ||
| 11 | Digital (81, 121, 66)-net over F2 | [i] | ||
| 12 | Digital (106, 157, 69)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 13 | Digital (107, 158, 71)-net over F2 | [i] | ||
| 14 | Digital (108, 159, 72)-net over F2 | [i] | ||
| 15 | Digital (109, 160, 73)-net over F2 | [i] | ||
| 16 | Digital (110, 161, 74)-net over F2 | [i] | ||
| 17 | Digital (111, 162, 75)-net over F2 | [i] | ||
| 18 | Digital (112, 163, 76)-net over F2 | [i] | ||
| 19 | Digital (114, 165, 77)-net over F2 | [i] | ||
| 20 | Digital (115, 166, 78)-net over F2 | [i] | ||
| 21 | Linear OOA(2132, 66, F2, 3, 51) (dual of [(66, 3), 66, 52]-NRT-code) | [i] | Extracting Embedded OOA | |
| 22 | Linear OOA(2132, 66, F2, 4, 51) (dual of [(66, 4), 132, 52]-NRT-code) | [i] | ||
| 23 | Linear OOA(2132, 66, F2, 5, 51) (dual of [(66, 5), 198, 52]-NRT-code) | [i] | ||
| 24 | Linear OOA(2132, 66, F2, 6, 51) (dual of [(66, 6), 264, 52]-NRT-code) | [i] | ||
| 25 | Linear OOA(2132, 66, F2, 7, 51) (dual of [(66, 7), 330, 52]-NRT-code) | [i] | ||
| 26 | Linear OOA(2132, 66, F2, 8, 51) (dual of [(66, 8), 396, 52]-NRT-code) | [i] | ||