Information on Result #619786

Linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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:

ResultThis
result
only		Method
1Linear OA(1642, 131074, F16, 11) (dual of [131074, 131032, 12]-code) [i]Trace Code
2Linear OA(25666, 131074, F256, 23) (dual of [131074, 131008, 24]-code) [i](u, u+v)-Construction
3Linear OA(25626, 65794, F256, 11) (dual of [65794, 65768, 12]-code) [i]
4Linear OA(25627, 65797, F256, 11) (dual of [65797, 65770, 12]-code) [i]
5Linear OA(25628, 130818, F256, 11) (dual of [130818, 130790, 12]-code) [i]
6Linear OA(25630, 131074, F256, 11) (dual of [131074, 131044, 12]-code) [i]
7Linear OA(25629, 66051, F256, 11) (dual of [66051, 66022, 12]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(25630, 66055, F256, 11) (dual of [66055, 66025, 12]-code) [i]
9Linear OA(25625, 65542, F256, 11) (dual of [65542, 65517, 12]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(25626, 65542, F256, 13) (dual of [65542, 65516, 14]-code) [i]✔
11Linear OA(25622, 65542, F256, 11) (dual of [65542, 65520, 12]-code) [i]✔
12Linear OA(25632, 65548, F256, 15) (dual of [65548, 65516, 16]-code) [i]✔
13Linear OA(25624, 65548, F256, 11) (dual of [65548, 65524, 12]-code) [i]✔
14Linear OA(25638, 65554, F256, 17) (dual of [65554, 65516, 18]-code) [i]✔
15Linear OA(25644, 65560, F256, 19) (dual of [65560, 65516, 20]-code) [i]✔
16Linear OA(25650, 65566, F256, 21) (dual of [65566, 65516, 22]-code) [i]✔