Information on Result #700306

Linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(25643, 65538, F256, 22) (dual of [65538, 65495, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 22]-code) [i]✔
3Linear OA(25649, 65544, F256, 24) (dual of [65544, 65495, 25]-code) [i]✔
4Linear OA(25643, 65544, F256, 21) (dual of [65544, 65501, 22]-code) [i]✔
5Linear OA(25655, 65550, F256, 26) (dual of [65550, 65495, 27]-code) [i]✔
6Linear OA(25645, 65550, F256, 21) (dual of [65550, 65505, 22]-code) [i]✔
7Linear OA(25661, 65556, F256, 28) (dual of [65556, 65495, 29]-code) [i]✔
8Linear OA(25647, 65556, F256, 21) (dual of [65556, 65509, 22]-code) [i]✔
9Linear OA(25667, 65562, F256, 30) (dual of [65562, 65495, 31]-code) [i]✔
10Linear OA(25649, 65562, F256, 21) (dual of [65562, 65513, 22]-code) [i]✔
11Linear OOA(25641, 16384, F256, 4, 21) (dual of [(16384, 4), 65495, 22]-NRT-code) [i]OOA Folding
12Linear OOA(25641, 13107, F256, 5, 21) (dual of [(13107, 5), 65494, 22]-NRT-code) [i]
13Linear OOA(25641, 6553, F256, 21, 21) (dual of [(6553, 21), 137572, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row