Information on Result #1003847
Linear OOA(534, 132, F5, 3, 13) (dual of [(132, 3), 362, 14]-NRT-code), using extracting embedded OOA based on digital (21, 34, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 17, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, 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(534, 132, F5, 3, 12) (dual of [(132, 3), 362, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(537, 133, F5, 3, 13) (dual of [(133, 3), 362, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(535, 132, F5, 3, 13) (dual of [(132, 3), 361, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(540, 138, F5, 3, 13) (dual of [(138, 3), 374, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |