Information on Result #619754
Linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(1614, 131072, F16, 4) (dual of [131072, 131058, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(25624, 131073, F256, 9) (dual of [131073, 131049, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2567, 65538, F256, 4) (dual of [65538, 65531, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(25615, 65544, F256, 7) (dual of [65544, 65529, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(25618, 65547, F256, 8) (dual of [65547, 65529, 9]-code) | [i] | ✔ | |