Information on Result #1003883
Linear OOA(538, 132, F5, 3, 15) (dual of [(132, 3), 358, 16]-NRT-code), using extracting embedded OOA based on digital (23, 38, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 19, 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(538, 132, F5, 3, 14) (dual of [(132, 3), 358, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(541, 133, F5, 3, 15) (dual of [(133, 3), 358, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(544, 134, F5, 3, 15) (dual of [(134, 3), 358, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(539, 132, F5, 3, 15) (dual of [(132, 3), 357, 16]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(545, 138, F5, 3, 15) (dual of [(138, 3), 369, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(546, 142, F5, 3, 15) (dual of [(142, 3), 380, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(547, 144, F5, 3, 15) (dual of [(144, 3), 385, 16]-NRT-code) | [i] | ||