Information on Result #619848
Linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(1698, 131074, F16, 25) (dual of [131074, 130976, 26]-code) | [i] | Trace Code | |
| 2 | Linear OA(25661, 65794, F256, 25) (dual of [65794, 65733, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25662, 65797, F256, 25) (dual of [65797, 65735, 26]-code) | [i] | ||
| 4 | Linear OA(25663, 65799, F256, 25) (dual of [65799, 65736, 26]-code) | [i] | ||
| 5 | Linear OA(25664, 65801, F256, 25) (dual of [65801, 65737, 26]-code) | [i] | ||
| 6 | Linear OA(25665, 65803, F256, 25) (dual of [65803, 65738, 26]-code) | [i] | ||
| 7 | Linear OA(25666, 65805, F256, 25) (dual of [65805, 65739, 26]-code) | [i] | ||
| 8 | Linear OA(25667, 66049, F256, 25) (dual of [66049, 65982, 26]-code) | [i] | ||
| 9 | Linear OA(25667, 66051, F256, 25) (dual of [66051, 65984, 26]-code) | [i] | ||
| 10 | Linear OA(25668, 66054, F256, 25) (dual of [66054, 65986, 26]-code) | [i] | ||
| 11 | Linear OA(25667, 65557, F256, 25) (dual of [65557, 65490, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(25668, 65559, F256, 25) (dual of [65559, 65491, 26]-code) | [i] | ||
| 13 | Linear OA(25661, 65550, F256, 25) (dual of [65550, 65489, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 14 | Linear OA(25654, 65542, F256, 27) (dual of [65542, 65488, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(25650, 65542, F256, 25) (dual of [65542, 65492, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(25660, 65548, F256, 29) (dual of [65548, 65488, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(25652, 65548, F256, 25) (dual of [65548, 65496, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(25666, 65554, F256, 31) (dual of [65554, 65488, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(25654, 65554, F256, 25) (dual of [65554, 65500, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(25656, 65560, F256, 25) (dual of [65560, 65504, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(25658, 65566, F256, 25) (dual of [65566, 65508, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(25660, 65572, F256, 25) (dual of [65572, 65512, 26]-code) | [i] | ✔ | |