Information on Result #619772

Linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8

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(1630, 131072, F16, 8) (dual of [131072, 131042, 9]-code) [i]Trace Code
2Linear OA(25648, 131073, F256, 17) (dual of [131073, 131025, 18]-code) [i](u, u+v)-Construction
3Linear OA(25619, 65793, F256, 8) (dual of [65793, 65774, 9]-code) [i]
4Linear OA(25620, 65796, F256, 8) (dual of [65796, 65776, 9]-code) [i]
5Linear OA(25621, 130816, F256, 8) (dual of [130816, 130795, 9]-code) [i]
6Linear OA(25621, 66050, F256, 8) (dual of [66050, 66029, 9]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(25617, 65538, F256, 9) (dual of [65538, 65521, 10]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(25615, 65538, F256, 8) (dual of [65538, 65523, 9]-code) [i]✔
9Linear OA(25620, 65541, F256, 10) (dual of [65541, 65521, 11]-code) [i]✔
10Linear OA(25616, 65541, F256, 8) (dual of [65541, 65525, 9]-code) [i]✔
11Linear OA(25623, 65544, F256, 11) (dual of [65544, 65521, 12]-code) [i]✔
12Linear OA(25617, 65544, F256, 8) (dual of [65544, 65527, 9]-code) [i]✔
13Linear OA(25626, 65547, F256, 12) (dual of [65547, 65521, 13]-code) [i]✔
14Linear OA(25618, 65547, F256, 8) (dual of [65547, 65529, 9]-code) [i]✔
15Linear OA(25629, 65550, F256, 13) (dual of [65550, 65521, 14]-code) [i]✔
16Linear OA(25632, 65553, F256, 14) (dual of [65553, 65521, 15]-code) [i]✔
17Linear OA(25635, 65556, F256, 15) (dual of [65556, 65521, 16]-code) [i]✔
18Linear OA(25638, 65559, F256, 16) (dual of [65559, 65521, 17]-code) [i]✔
19Linear OOA(25615, 16384, F256, 4, 8) (dual of [(16384, 4), 65521, 9]-NRT-code) [i]OOA Folding
20Linear OOA(25615, 16384, F256, 5, 8) (dual of [(16384, 5), 81905, 9]-NRT-code) [i]OA Folding and Stacking
21Linear OOA(25615, 16384, F256, 6, 8) (dual of [(16384, 6), 98289, 9]-NRT-code) [i]
22Linear OOA(25615, 16384, F256, 8, 8) (dual of [(16384, 8), 131057, 9]-NRT-code) [i]