Information on Result #701198
Linear OA(524, 31, F5, 18) (dual of [31, 7, 19]-code), using the cyclic code C(A) with length 31 | 53−1, defining set A = {1,2,3,4,6,11,12,16}, and minimum distance d ≥ |{−6,2,10,…,6}|+1 = 19 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Contraction [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(525, 32, F5, 18) (dual of [32, 7, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(523, 30, F5, 17) (dual of [30, 7, 18]-code) | [i] | Truncation | |
| 3 | Linear OA(522, 29, F5, 16) (dual of [29, 7, 17]-code) | [i] | ||
| 4 | Linear OA(521, 28, F5, 15) (dual of [28, 7, 16]-code) | [i] | ||
| 5 | Linear OA(554, 60, F5, 37) (dual of [60, 6, 38]-code) | [i] | Repeating Each Code Word | |
| 6 | Linear OA(553, 58, F5, 37) (dual of [58, 5, 38]-code) | [i] | ||
| 7 | Linear OA(5139, 656, F5, 37) (dual of [656, 517, 38]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(527, 34, F5, 19) (dual of [34, 7, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(529, 36, F5, 20) (dual of [36, 7, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(534, 41, F5, 24) (dual of [41, 7, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(530, 37, F5, 21) (dual of [37, 7, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(545, 52, F5, 30) (dual of [52, 7, 31]-code) | [i] | ✔ | |
| 13 | Linear OOA(524, 15, F5, 2, 18) (dual of [(15, 2), 6, 19]-NRT-code) | [i] | OOA Folding | |