Information on Result #619862
Linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(16114, 131074, F16, 29) (dual of [131074, 130960, 30]-code) | [i] | Trace Code | |
| 2 | Linear OA(25662, 65542, F256, 31) (dual of [65542, 65480, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(25658, 65542, F256, 29) (dual of [65542, 65484, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(25668, 65548, F256, 33) (dual of [65548, 65480, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(25660, 65548, F256, 29) (dual of [65548, 65488, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(25662, 65554, F256, 29) (dual of [65554, 65492, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(25664, 65560, F256, 29) (dual of [65560, 65496, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(25666, 65566, F256, 29) (dual of [65566, 65500, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(25668, 65572, F256, 29) (dual of [65572, 65504, 30]-code) | [i] | ✔ | |