Information on Result #1002860
Linear OOA(439, 240, F4, 3, 12) (dual of [(240, 3), 681, 13]-NRT-code), using extracting embedded OOA based on digital (27, 39, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 13, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, 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(442, 241, F4, 3, 12) (dual of [(241, 3), 681, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(440, 240, F4, 3, 12) (dual of [(240, 3), 680, 13]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(441, 240, F4, 3, 12) (dual of [(240, 3), 679, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(4255, 2796441, F4, 3, 24) (dual of [(2796441, 3), 8389068, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4256, 2796441, F4, 3, 25) (dual of [(2796441, 3), 8389067, 26]-NRT-code) | [i] | ||