Information on Result #1002772
Linear OOA(418, 66, F4, 3, 7) (dual of [(66, 3), 180, 8]-NRT-code), using extracting embedded OOA based on digital (11, 18, 66)-net over F4, using
- trace code for nets [i] based on digital (2, 9, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4139, 2796267, F4, 3, 14) (dual of [(2796267, 3), 8388662, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4151, 2796267, F4, 3, 15) (dual of [(2796267, 3), 8388650, 16]-NRT-code) | [i] | ||