Information on Result #619867
Linear OA(25661, 65537, F256, 31) (dual of [65537, 65476, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16122, 131074, F16, 31) (dual of [131074, 130952, 32]-code) | [i] | Trace Code | |
| 2 | Linear OA(25666, 65542, F256, 33) (dual of [65542, 65476, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(25662, 65542, F256, 31) (dual of [65542, 65480, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(25664, 65548, F256, 31) (dual of [65548, 65484, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(25666, 65554, F256, 31) (dual of [65554, 65488, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(25668, 65560, F256, 31) (dual of [65560, 65492, 32]-code) | [i] | ✔ | |