Information on Result #619768
Linear OA(25613, 65537, F256, 7) (dual of [65537, 65524, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(1626, 131074, F16, 7) (dual of [131074, 131048, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(25642, 131074, F256, 15) (dual of [131074, 131032, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25616, 65795, F256, 7) (dual of [65795, 65779, 8]-code) | [i] | ||
| 4 | Linear OA(25617, 131074, F256, 7) (dual of [131074, 131057, 8]-code) | [i] | ||
| 5 | Linear OA(25618, 66052, F256, 7) (dual of [66052, 66034, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(25615, 65540, F256, 7) (dual of [65540, 65525, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(25618, 65542, F256, 9) (dual of [65542, 65524, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(25614, 65542, F256, 7) (dual of [65542, 65528, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(25624, 65548, F256, 11) (dual of [65548, 65524, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(25630, 65554, F256, 13) (dual of [65554, 65524, 14]-code) | [i] | ✔ | |