Information on Result #795302
Digital (68, 124, 130)-net over F4, using trace code for nets based on digital (6, 62, 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 (68, 123, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (68, 122, 130)-net over F4 | [i] | ||
| 3 | Digital (68, 121, 130)-net over F4 | [i] | ||
| 4 | Digital (68, 120, 130)-net over F4 | [i] | ||
| 5 | Digital (68, 119, 130)-net over F4 | [i] | ||
| 6 | Digital (68, 118, 130)-net over F4 | [i] | ||
| 7 | Digital (68, 117, 130)-net over F4 | [i] | ||
| 8 | Digital (68, 116, 130)-net over F4 | [i] | ||
| 9 | Digital (68, 115, 130)-net over F4 | [i] | ||
| 10 | Digital (68, 114, 130)-net over F4 | [i] | ||
| 11 | Digital (68, 113, 130)-net over F4 | [i] | ||
| 12 | Digital (68, 112, 130)-net over F4 | [i] | ||
| 13 | Digital (68, 111, 130)-net over F4 | [i] | ||
| 14 | Digital (68, 110, 130)-net over F4 | [i] | ||
| 15 | Digital (68, 109, 130)-net over F4 | [i] | ||
| 16 | Digital (68, 108, 130)-net over F4 | [i] | ||
| 17 | Digital (68, 107, 130)-net over F4 | [i] | ||
| 18 | Digital (68, 106, 130)-net over F4 | [i] | ||
| 19 | Digital (96, 152, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 20 | Digital (97, 153, 139)-net over F4 | [i] | ||
| 21 | Digital (98, 154, 140)-net over F4 | [i] | ||
| 22 | Digital (99, 155, 144)-net over F4 | [i] | ||
| 23 | Digital (100, 156, 145)-net over F4 | [i] | ||
| 24 | Digital (101, 157, 147)-net over F4 | [i] | ||
| 25 | Digital (103, 159, 151)-net over F4 | [i] | ||
| 26 | Digital (105, 161, 152)-net over F4 | [i] | ||
| 27 | Digital (106, 162, 157)-net over F4 | [i] | ||
| 28 | Digital (108, 164, 158)-net over F4 | [i] | ||
| 29 | Digital (109, 165, 160)-net over F4 | [i] | ||
| 30 | Digital (111, 167, 163)-net over F4 | [i] | ||
| 31 | Linear OOA(4124, 130, F4, 2, 56) (dual of [(130, 2), 136, 57]-NRT-code) | [i] | Extracting Embedded OOA | |
| 32 | Linear OOA(4124, 130, F4, 3, 56) (dual of [(130, 3), 266, 57]-NRT-code) | [i] | ||