Information on Result #795295
Digital (67, 122, 130)-net over F4, using trace code for nets based on digital (6, 61, 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 (67, 121, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (67, 120, 130)-net over F4 | [i] | ||
| 3 | Digital (67, 119, 130)-net over F4 | [i] | ||
| 4 | Digital (67, 118, 130)-net over F4 | [i] | ||
| 5 | Digital (67, 117, 130)-net over F4 | [i] | ||
| 6 | Digital (67, 116, 130)-net over F4 | [i] | ||
| 7 | Digital (67, 115, 130)-net over F4 | [i] | ||
| 8 | Digital (67, 114, 130)-net over F4 | [i] | ||
| 9 | Digital (67, 113, 130)-net over F4 | [i] | ||
| 10 | Digital (67, 112, 130)-net over F4 | [i] | ||
| 11 | Digital (67, 111, 130)-net over F4 | [i] | ||
| 12 | Digital (67, 110, 130)-net over F4 | [i] | ||
| 13 | Digital (67, 109, 130)-net over F4 | [i] | ||
| 14 | Digital (67, 108, 130)-net over F4 | [i] | ||
| 15 | Digital (67, 107, 130)-net over F4 | [i] | ||
| 16 | Digital (67, 106, 130)-net over F4 | [i] | ||
| 17 | Digital (67, 105, 130)-net over F4 | [i] | ||
| 18 | Digital (94, 149, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 19 | Digital (95, 150, 139)-net over F4 | [i] | ||
| 20 | Digital (96, 151, 140)-net over F4 | [i] | ||
| 21 | Digital (97, 152, 144)-net over F4 | [i] | ||
| 22 | Digital (98, 153, 145)-net over F4 | [i] | ||
| 23 | Digital (99, 154, 147)-net over F4 | [i] | ||
| 24 | Digital (101, 156, 151)-net over F4 | [i] | ||
| 25 | Digital (103, 158, 152)-net over F4 | [i] | ||
| 26 | Digital (104, 159, 157)-net over F4 | [i] | ||
| 27 | Digital (106, 161, 158)-net over F4 | [i] | ||
| 28 | Digital (107, 162, 160)-net over F4 | [i] | ||
| 29 | Digital (109, 164, 163)-net over F4 | [i] | ||
| 30 | Linear OOA(4122, 130, F4, 2, 55) (dual of [(130, 2), 138, 56]-NRT-code) | [i] | Extracting Embedded OOA | |
| 31 | Linear OOA(4122, 130, F4, 3, 55) (dual of [(130, 3), 268, 56]-NRT-code) | [i] | ||