Information on Result #795359
Digital (77, 142, 130)-net over F4, using trace code for nets based on digital (6, 71, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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 (77, 141, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (77, 140, 130)-net over F4 | [i] | ||
| 3 | Digital (77, 139, 130)-net over F4 | [i] | ||
| 4 | Digital (77, 138, 130)-net over F4 | [i] | ||
| 5 | Digital (77, 137, 130)-net over F4 | [i] | ||
| 6 | Digital (77, 136, 130)-net over F4 | [i] | ||
| 7 | Digital (77, 135, 130)-net over F4 | [i] | ||
| 8 | Digital (77, 134, 130)-net over F4 | [i] | ||
| 9 | Digital (77, 133, 130)-net over F4 | [i] | ||
| 10 | Digital (77, 132, 130)-net over F4 | [i] | ||
| 11 | Digital (77, 131, 130)-net over F4 | [i] | ||
| 12 | Digital (77, 130, 130)-net over F4 | [i] | ||
| 13 | Digital (77, 129, 130)-net over F4 | [i] | ||
| 14 | Digital (77, 128, 130)-net over F4 | [i] | ||
| 15 | Digital (77, 127, 130)-net over F4 | [i] | ||
| 16 | Digital (77, 126, 130)-net over F4 | [i] | ||
| 17 | Digital (77, 125, 130)-net over F4 | [i] | ||
| 18 | Digital (77, 124, 130)-net over F4 | [i] | ||
| 19 | Digital (77, 123, 130)-net over F4 | [i] | ||
| 20 | Digital (77, 122, 130)-net over F4 | [i] | ||
| 21 | Digital (77, 121, 130)-net over F4 | [i] | ||
| 22 | Digital (109, 174, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 23 | Digital (110, 175, 139)-net over F4 | [i] | ||
| 24 | Digital (111, 176, 140)-net over F4 | [i] | ||
| 25 | Digital (112, 177, 144)-net over F4 | [i] | ||
| 26 | Digital (113, 178, 145)-net over F4 | [i] | ||
| 27 | Digital (114, 179, 147)-net over F4 | [i] | ||
| 28 | Digital (116, 181, 151)-net over F4 | [i] | ||
| 29 | Digital (118, 183, 152)-net over F4 | [i] | ||
| 30 | Digital (119, 184, 157)-net over F4 | [i] | ||
| 31 | Digital (121, 186, 158)-net over F4 | [i] | ||
| 32 | Digital (122, 187, 160)-net over F4 | [i] | ||
| 33 | Digital (124, 189, 163)-net over F4 | [i] | ||
| 34 | Linear OOA(4142, 130, F4, 2, 65) (dual of [(130, 2), 118, 66]-NRT-code) | [i] | Extracting Embedded OOA | |
| 35 | Linear OOA(4142, 130, F4, 3, 65) (dual of [(130, 3), 248, 66]-NRT-code) | [i] | ||