Information on Result #619781

Linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(1638, 131072, F16, 10) (dual of [131072, 131034, 11]-code) [i]Trace Code
2Linear OA(25660, 131073, F256, 21) (dual of [131073, 131013, 22]-code) [i](u, u+v)-Construction
3Linear OA(25624, 65793, F256, 10) (dual of [65793, 65769, 11]-code) [i]
4Linear OA(25625, 65796, F256, 10) (dual of [65796, 65771, 11]-code) [i]
5Linear OA(25626, 130817, F256, 10) (dual of [130817, 130791, 11]-code) [i]
6Linear OA(25626, 65544, F256, 10) (dual of [65544, 65518, 11]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(25627, 66050, F256, 10) (dual of [66050, 66023, 11]-code) [i]
8Linear OA(25621, 65538, F256, 11) (dual of [65538, 65517, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(25619, 65538, F256, 10) (dual of [65538, 65519, 11]-code) [i]✔
10Linear OA(25624, 65541, F256, 12) (dual of [65541, 65517, 13]-code) [i]✔
11Linear OA(25620, 65541, F256, 10) (dual of [65541, 65521, 11]-code) [i]✔
12Linear OA(25627, 65544, F256, 13) (dual of [65544, 65517, 14]-code) [i]✔
13Linear OA(25621, 65544, F256, 10) (dual of [65544, 65523, 11]-code) [i]✔
14Linear OA(25630, 65547, F256, 14) (dual of [65547, 65517, 15]-code) [i]✔
15Linear OA(25622, 65547, F256, 10) (dual of [65547, 65525, 11]-code) [i]✔
16Linear OA(25633, 65550, F256, 15) (dual of [65550, 65517, 16]-code) [i]✔
17Linear OA(25623, 65550, F256, 10) (dual of [65550, 65527, 11]-code) [i]✔
18Linear OA(25636, 65553, F256, 16) (dual of [65553, 65517, 17]-code) [i]✔
19Linear OA(25639, 65556, F256, 17) (dual of [65556, 65517, 18]-code) [i]✔
20Linear OA(25642, 65559, F256, 18) (dual of [65559, 65517, 19]-code) [i]✔
21Linear OA(25645, 65562, F256, 19) (dual of [65562, 65517, 20]-code) [i]✔
22Linear OA(25648, 65565, F256, 20) (dual of [65565, 65517, 21]-code) [i]✔
23Linear OOA(25619, 16384, F256, 4, 10) (dual of [(16384, 4), 65517, 11]-NRT-code) [i]OOA Folding
24Linear OOA(25619, 13107, F256, 5, 10) (dual of [(13107, 5), 65516, 11]-NRT-code) [i]
25Linear OOA(25619, 13107, F256, 6, 10) (dual of [(13107, 6), 78623, 11]-NRT-code) [i]OA Folding and Stacking
26Linear OOA(25619, 13107, F256, 10, 10) (dual of [(13107, 10), 131051, 11]-NRT-code) [i]