Information on Result #619863

Linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(16118, 131072, F16, 30) (dual of [131072, 130954, 31]-code) [i]Trace Code
2Linear OA(25661, 65538, F256, 31) (dual of [65538, 65477, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(25659, 65538, F256, 30) (dual of [65538, 65479, 31]-code) [i]✔
4Linear OA(25664, 65541, F256, 32) (dual of [65541, 65477, 33]-code) [i]✔
5Linear OA(25660, 65541, F256, 30) (dual of [65541, 65481, 31]-code) [i]✔
6Linear OA(25667, 65544, F256, 33) (dual of [65544, 65477, 34]-code) [i]✔
7Linear OA(25661, 65544, F256, 30) (dual of [65544, 65483, 31]-code) [i]✔
8Linear OA(25662, 65547, F256, 30) (dual of [65547, 65485, 31]-code) [i]✔
9Linear OA(25663, 65550, F256, 30) (dual of [65550, 65487, 31]-code) [i]✔
10Linear OA(25664, 65553, F256, 30) (dual of [65553, 65489, 31]-code) [i]✔
11Linear OA(25665, 65556, F256, 30) (dual of [65556, 65491, 31]-code) [i]✔
12Linear OA(25666, 65559, F256, 30) (dual of [65559, 65493, 31]-code) [i]✔
13Linear OA(25667, 65562, F256, 30) (dual of [65562, 65495, 31]-code) [i]✔
14Linear OA(25668, 65565, F256, 30) (dual of [65565, 65497, 31]-code) [i]✔
15Linear OOA(25659, 16384, F256, 4, 30) (dual of [(16384, 4), 65477, 31]-NRT-code) [i]OOA Folding
16Linear OOA(25659, 13107, F256, 5, 30) (dual of [(13107, 5), 65476, 31]-NRT-code) [i]
17Linear OOA(25659, 4369, F256, 30, 30) (dual of [(4369, 30), 131011, 31]-NRT-code) [i]OA Folding and Stacking