Information on Result #619826

Linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(1678, 131072, F16, 20) (dual of [131072, 130994, 21]-code) [i]Trace Code
2Linear OA(25649, 65793, F256, 20) (dual of [65793, 65744, 21]-code) [i](u, u+v)-Construction
3Linear OA(25650, 65796, F256, 20) (dual of [65796, 65746, 21]-code) [i]
4Linear OA(25651, 65798, F256, 20) (dual of [65798, 65747, 21]-code) [i]
5Linear OA(25652, 65800, F256, 20) (dual of [65800, 65748, 21]-code) [i]
6Linear OA(25653, 65802, F256, 20) (dual of [65802, 65749, 21]-code) [i]
7Linear OA(25654, 66048, F256, 20) (dual of [66048, 65994, 21]-code) [i]
8Linear OA(25655, 66307, F256, 20) (dual of [66307, 66252, 21]-code) [i]
9Linear OA(25657, 66821, F256, 20) (dual of [66821, 66764, 21]-code) [i]
10Linear OA(25654, 66050, F256, 20) (dual of [66050, 65996, 21]-code) [i]
11Linear OA(25656, 65554, F256, 20) (dual of [65554, 65498, 21]-code) [i]Generalized (u, u+v)-Construction
12Linear OA(25657, 65557, F256, 20) (dual of [65557, 65500, 21]-code) [i]
13Linear OA(25652, 65550, F256, 20) (dual of [65550, 65498, 21]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(25653, 65552, F256, 20) (dual of [65552, 65499, 21]-code) [i]
15Linear OA(25654, 65554, F256, 20) (dual of [65554, 65500, 21]-code) [i]
16Linear OA(25655, 66050, F256, 20) (dual of [66050, 65995, 21]-code) [i]
17Linear OA(25656, 66053, F256, 20) (dual of [66053, 65997, 21]-code) [i]
18Linear OA(25657, 66056, F256, 20) (dual of [66056, 65999, 21]-code) [i]
19Linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
20Linear OA(25639, 65538, F256, 20) (dual of [65538, 65499, 21]-code) [i]✔
21Linear OA(25644, 65541, F256, 22) (dual of [65541, 65497, 23]-code) [i]✔
22Linear OA(25640, 65541, F256, 20) (dual of [65541, 65501, 21]-code) [i]✔
23Linear OA(25647, 65544, F256, 23) (dual of [65544, 65497, 24]-code) [i]✔
24Linear OA(25641, 65544, F256, 20) (dual of [65544, 65503, 21]-code) [i]✔
25Linear OA(25650, 65547, F256, 24) (dual of [65547, 65497, 25]-code) [i]✔
26Linear OA(25642, 65547, F256, 20) (dual of [65547, 65505, 21]-code) [i]✔
27Linear OA(25653, 65550, F256, 25) (dual of [65550, 65497, 26]-code) [i]✔
28Linear OA(25643, 65550, F256, 20) (dual of [65550, 65507, 21]-code) [i]✔
29Linear OA(25656, 65553, F256, 26) (dual of [65553, 65497, 27]-code) [i]✔
30Linear OA(25644, 65553, F256, 20) (dual of [65553, 65509, 21]-code) [i]✔
31Linear OA(25659, 65556, F256, 27) (dual of [65556, 65497, 28]-code) [i]✔
32Linear OA(25645, 65556, F256, 20) (dual of [65556, 65511, 21]-code) [i]✔
33Linear OA(25662, 65559, F256, 28) (dual of [65559, 65497, 29]-code) [i]✔
34Linear OA(25646, 65559, F256, 20) (dual of [65559, 65513, 21]-code) [i]✔
35Linear OA(25665, 65562, F256, 29) (dual of [65562, 65497, 30]-code) [i]✔
36Linear OA(25647, 65562, F256, 20) (dual of [65562, 65515, 21]-code) [i]✔
37Linear OA(25668, 65565, F256, 30) (dual of [65565, 65497, 31]-code) [i]✔
38Linear OA(25648, 65565, F256, 20) (dual of [65565, 65517, 21]-code) [i]✔
39Linear OOA(25639, 16384, F256, 4, 20) (dual of [(16384, 4), 65497, 21]-NRT-code) [i]OOA Folding
40Linear OOA(25639, 13107, F256, 5, 20) (dual of [(13107, 5), 65496, 21]-NRT-code) [i]
41Linear OOA(25639, 6553, F256, 20, 20) (dual of [(6553, 20), 131021, 21]-NRT-code) [i]OA Folding and Stacking