Information on Result #619855
Linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(16106, 131074, F16, 27) (dual of [131074, 130968, 28]-code) | [i] | Trace Code | |
| 2 | Linear OA(25666, 65794, F256, 27) (dual of [65794, 65728, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25667, 65797, F256, 27) (dual of [65797, 65730, 28]-code) | [i] | ||
| 4 | Linear OA(25668, 65799, F256, 27) (dual of [65799, 65731, 28]-code) | [i] | ||
| 5 | Linear OA(25665, 65550, F256, 27) (dual of [65550, 65485, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(25658, 65542, F256, 29) (dual of [65542, 65484, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(25654, 65542, F256, 27) (dual of [65542, 65488, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(25664, 65548, F256, 31) (dual of [65548, 65484, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(25656, 65548, F256, 27) (dual of [65548, 65492, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(25658, 65554, F256, 27) (dual of [65554, 65496, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(25660, 65560, F256, 27) (dual of [65560, 65500, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(25662, 65566, F256, 27) (dual of [65566, 65504, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(25664, 65572, F256, 27) (dual of [65572, 65508, 28]-code) | [i] | ✔ | |