Information on Result #790715
Digital (82, 134, 66)-net over F2, using trace code for nets based on digital (15, 67, 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 (82, 133, 66)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (82, 132, 66)-net over F2 | [i] | ||
| 3 | Digital (82, 131, 66)-net over F2 | [i] | ||
| 4 | Digital (82, 130, 66)-net over F2 | [i] | ||
| 5 | Digital (82, 129, 66)-net over F2 | [i] | ||
| 6 | Digital (82, 128, 66)-net over F2 | [i] | ||
| 7 | Digital (82, 127, 66)-net over F2 | [i] | ||
| 8 | Digital (82, 126, 66)-net over F2 | [i] | ||
| 9 | Digital (82, 125, 66)-net over F2 | [i] | ||
| 10 | Digital (82, 124, 66)-net over F2 | [i] | ||
| 11 | Digital (82, 123, 66)-net over F2 | [i] | ||
| 12 | Digital (108, 160, 69)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 13 | Digital (109, 161, 71)-net over F2 | [i] | ||
| 14 | Digital (110, 162, 72)-net over F2 | [i] | ||
| 15 | Digital (111, 163, 73)-net over F2 | [i] | ||
| 16 | Digital (112, 164, 74)-net over F2 | [i] | ||
| 17 | Digital (113, 165, 75)-net over F2 | [i] | ||
| 18 | Digital (114, 166, 76)-net over F2 | [i] | ||
| 19 | Digital (116, 168, 77)-net over F2 | [i] | ||
| 20 | Digital (117, 169, 78)-net over F2 | [i] | ||
| 21 | Linear OOA(2134, 66, F2, 3, 52) (dual of [(66, 3), 64, 53]-NRT-code) | [i] | Extracting Embedded OOA | |
| 22 | Linear OOA(2134, 66, F2, 4, 52) (dual of [(66, 4), 130, 53]-NRT-code) | [i] | ||
| 23 | Linear OOA(2134, 66, F2, 5, 52) (dual of [(66, 5), 196, 53]-NRT-code) | [i] | ||
| 24 | Linear OOA(2134, 66, F2, 6, 52) (dual of [(66, 6), 262, 53]-NRT-code) | [i] | ||
| 25 | Linear OOA(2134, 66, F2, 7, 52) (dual of [(66, 7), 328, 53]-NRT-code) | [i] | ||
| 26 | Linear OOA(2134, 66, F2, 8, 52) (dual of [(66, 8), 394, 53]-NRT-code) | [i] | ||