Information on Result #795271
Digital (63, 114, 130)-net over F4, using trace code for nets based on digital (6, 57, 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 (63, 113, 130)-net over F4 | [i] | m-Reduction | |
| 2 | Digital (63, 112, 130)-net over F4 | [i] | ||
| 3 | Digital (63, 111, 130)-net over F4 | [i] | ||
| 4 | Digital (63, 110, 130)-net over F4 | [i] | ||
| 5 | Digital (63, 109, 130)-net over F4 | [i] | ||
| 6 | Digital (63, 108, 130)-net over F4 | [i] | ||
| 7 | Digital (63, 107, 130)-net over F4 | [i] | ||
| 8 | Digital (63, 106, 130)-net over F4 | [i] | ||
| 9 | Digital (63, 105, 130)-net over F4 | [i] | ||
| 10 | Digital (63, 104, 130)-net over F4 | [i] | ||
| 11 | Digital (63, 103, 130)-net over F4 | [i] | ||
| 12 | Digital (63, 102, 130)-net over F4 | [i] | ||
| 13 | Digital (63, 101, 130)-net over F4 | [i] | ||
| 14 | Digital (63, 100, 130)-net over F4 | [i] | ||
| 15 | Digital (63, 99, 130)-net over F4 | [i] | ||
| 16 | Digital (63, 98, 130)-net over F4 | [i] | ||
| 17 | Digital (88, 139, 135)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 18 | Digital (89, 140, 139)-net over F4 | [i] | ||
| 19 | Digital (90, 141, 140)-net over F4 | [i] | ||
| 20 | Digital (91, 142, 144)-net over F4 | [i] | ||
| 21 | Digital (92, 143, 145)-net over F4 | [i] | ||
| 22 | Digital (93, 144, 147)-net over F4 | [i] | ||
| 23 | Digital (95, 146, 151)-net over F4 | [i] | ||
| 24 | Digital (97, 148, 152)-net over F4 | [i] | ||
| 25 | Digital (98, 149, 157)-net over F4 | [i] | ||
| 26 | Digital (100, 151, 158)-net over F4 | [i] | ||
| 27 | Digital (101, 152, 160)-net over F4 | [i] | ||
| 28 | Linear OOA(4114, 130, F4, 2, 51) (dual of [(130, 2), 146, 52]-NRT-code) | [i] | Extracting Embedded OOA | |
| 29 | Linear OOA(4114, 130, F4, 3, 51) (dual of [(130, 3), 276, 52]-NRT-code) | [i] | ||