Information on Result #613750
Linear OA(525, 31, F5, 18) (dual of [31, 6, 19]-code), using the expurgated narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [0,15], and minimum distance d ≥ |{−2,−1,…,15}|+1 = 19 (BCH-bound)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(527, 34, F5, 18) (dual of [34, 7, 19]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(531, 43, F5, 18) (dual of [43, 12, 19]-code) | [i] | ✔ | |
| 3 | Linear OA(533, 40, F5, 22) (dual of [40, 7, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(537, 44, F5, 24) (dual of [44, 7, 25]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |