Information on Result #682020
Linear OA(463, 65, F4, 51) (dual of [65, 2, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,25], and minimum distance d ≥ |{−15,−4,7,…,15}|+1 = 52 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(463, 65, F4, 50) (dual of [65, 2, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(463, 65, F4, 49) (dual of [65, 2, 50]-code) | [i] | ||
| 3 | Linear OA(462, 64, F4, 50) (dual of [64, 2, 51]-code) | [i] | Truncation | |
| 4 | Linear OA(461, 63, F4, 49) (dual of [63, 2, 50]-code) | [i] | ||
| 5 | Linear OA(460, 62, F4, 48) (dual of [62, 2, 49]-code) | [i] | ||
| 6 | Linear OA(459, 61, F4, 47) (dual of [61, 2, 48]-code) | [i] | ||
| 7 | Linear OA(457, 59, F4, 45) (dual of [59, 2, 46]-code) | [i] | ||
| 8 | Linear OA(456, 58, F4, 44) (dual of [58, 2, 45]-code) | [i] | ||
| 9 | Linear OA(469, 77, F4, 49) (dual of [77, 8, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |