Information on Result #700309

Linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(25639, 65538, F256, 20) (dual of [65538, 65499, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code) [i]✔
3Linear OA(25645, 65544, F256, 22) (dual of [65544, 65499, 23]-code) [i]✔
4Linear OA(25639, 65544, F256, 19) (dual of [65544, 65505, 20]-code) [i]✔
5Linear OA(25651, 65550, F256, 24) (dual of [65550, 65499, 25]-code) [i]✔
6Linear OA(25641, 65550, F256, 19) (dual of [65550, 65509, 20]-code) [i]✔
7Linear OA(25657, 65556, F256, 26) (dual of [65556, 65499, 27]-code) [i]✔
8Linear OA(25643, 65556, F256, 19) (dual of [65556, 65513, 20]-code) [i]✔
9Linear OA(25663, 65562, F256, 28) (dual of [65562, 65499, 29]-code) [i]✔
10Linear OA(25645, 65562, F256, 19) (dual of [65562, 65517, 20]-code) [i]✔
11Linear OOA(25637, 16384, F256, 4, 19) (dual of [(16384, 4), 65499, 20]-NRT-code) [i]OOA Folding
12Linear OOA(25637, 13107, F256, 5, 19) (dual of [(13107, 5), 65498, 20]-NRT-code) [i]
13Linear OOA(25637, 7281, F256, 19, 19) (dual of [(7281, 19), 138302, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row