Information on Result #795188
Digital (48, 84, 130)-net over F4, using trace code for nets based on digital (6, 42, 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 (48, 83, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (48, 82, 130)-net over F4 | [i] | ||
| 3 | Digital (48, 81, 130)-net over F4 | [i] | ||
| 4 | Digital (48, 80, 130)-net over F4 | [i] | ||
| 5 | Digital (48, 79, 130)-net over F4 | [i] | ||
| 6 | Digital (48, 78, 130)-net over F4 | [i] | ||
| 7 | Digital (48, 77, 130)-net over F4 | [i] | ||
| 8 | Digital (48, 76, 130)-net over F4 | [i] | ||
| 9 | Digital (48, 75, 130)-net over F4 | [i] | ||
| 10 | Digital (48, 74, 130)-net over F4 | [i] | ||
| 11 | Digital (48, 73, 130)-net over F4 | [i] | ||
| 12 | Digital (66, 102, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 13 | Digital (67, 103, 139)-net over F4 | [i] | ||
| 14 | Digital (68, 104, 140)-net over F4 | [i] | ||
| 15 | Digital (69, 105, 144)-net over F4 | [i] | ||
| 16 | Digital (70, 106, 145)-net over F4 | [i] | ||
| 17 | Digital (71, 107, 147)-net over F4 | [i] | ||
| 18 | Linear OOA(484, 130, F4, 2, 36) (dual of [(130, 2), 176, 37]-NRT-code) | [i] | Extracting Embedded OOA | |
| 19 | Linear OOA(484, 130, F4, 3, 36) (dual of [(130, 3), 306, 37]-NRT-code) | [i] | ||