Information on Result #1004278
Linear OOA(582, 132, F5, 3, 37) (dual of [(132, 3), 314, 38]-NRT-code), using extracting embedded OOA based on digital (45, 82, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 41, 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(582, 132, F5, 3, 36) (dual of [(132, 3), 314, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(585, 133, F5, 3, 37) (dual of [(133, 3), 314, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(588, 134, F5, 3, 37) (dual of [(134, 3), 314, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(591, 135, F5, 3, 37) (dual of [(135, 3), 314, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(583, 132, F5, 3, 37) (dual of [(132, 3), 313, 38]-NRT-code) | [i] | OOA Duplication | |