Information on Result #619763
Linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(1622, 131072, F16, 6) (dual of [131072, 131050, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(25636, 131073, F256, 13) (dual of [131073, 131037, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25614, 65794, F256, 6) (dual of [65794, 65780, 7]-code) | [i] | ||
| 4 | Linear OA(25615, 131072, F256, 6) (dual of [131072, 131057, 7]-code) | [i] | ||
| 5 | Linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(25611, 65538, F256, 6) (dual of [65538, 65527, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(25616, 65541, F256, 8) (dual of [65541, 65525, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(25619, 65544, F256, 9) (dual of [65544, 65525, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(25613, 65544, F256, 6) (dual of [65544, 65531, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(25622, 65547, F256, 10) (dual of [65547, 65525, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(25625, 65550, F256, 11) (dual of [65550, 65525, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(25628, 65553, F256, 12) (dual of [65553, 65525, 13]-code) | [i] | ✔ | |