Information on Result #615177
Linear OA(853, 65, F8, 39) (dual of [65, 12, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(861, 74, F8, 39) (dual of [74, 13, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(854, 70, F8, 39) (dual of [70, 16, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(867, 91, F8, 39) (dual of [91, 24, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(868, 93, F8, 39) (dual of [93, 25, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(881, 95, F8, 53) (dual of [95, 14, 54]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |