Information on Result #619759
Linear OA(2569, 65537, F256, 5) (dual of [65537, 65528, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(1618, 131074, F16, 5) (dual of [131074, 131056, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(25630, 131074, F256, 11) (dual of [131074, 131044, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25611, 65540, F256, 5) (dual of [65540, 65529, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(25614, 65542, F256, 7) (dual of [65542, 65528, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(25620, 65548, F256, 9) (dual of [65548, 65528, 10]-code) | [i] | ✔ | |