Information on Result #1002758
Linear OOA(414, 48, F4, 3, 6) (dual of [(48, 3), 130, 7]-NRT-code), using extracting embedded OOA based on digital (8, 14, 48)-net over F4, using
- trace code for nets [i] based on digital (1, 7, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-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(4122, 2796249, F4, 3, 12) (dual of [(2796249, 3), 8388625, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4123, 2796249, F4, 3, 13) (dual of [(2796249, 3), 8388624, 14]-NRT-code) | [i] | ||