Information on Result #610920
Linear OA(225, 65, F2, 9) (dual of [65, 40, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 212−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(224, 64, F2, 8) (dual of [64, 40, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(229, 70, F2, 9) (dual of [70, 41, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2233, 577, F2, 49) (dual of [577, 344, 50]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(2224, 577, F2, 47) (dual of [577, 353, 48]-code) | [i] | ||
| 5 | Linear OA(2215, 577, F2, 45) (dual of [577, 362, 46]-code) | [i] | ||