Information on Result #619676

Linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28

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(12869, 16513, F128, 28) (dual of [16513, 16444, 29]-code) [i](u, u+v)-Construction
2Linear OA(12870, 16534, F128, 28) (dual of [16534, 16464, 29]-code) [i]
3Linear OA(12871, 16536, F128, 28) (dual of [16536, 16465, 29]-code) [i]
4Linear OA(12872, 16576, F128, 28) (dual of [16576, 16504, 29]-code) [i]
5Linear OA(12873, 16578, F128, 28) (dual of [16578, 16505, 29]-code) [i]
6Linear OA(12874, 16600, F128, 28) (dual of [16600, 16526, 29]-code) [i]
7Linear OA(12875, 16602, F128, 28) (dual of [16602, 16527, 29]-code) [i]
8Linear OA(12876, 16640, F128, 28) (dual of [16640, 16564, 29]-code) [i]
9Linear OA(12878, 16766, F128, 28) (dual of [16766, 16688, 29]-code) [i]
10Linear OA(12876, 16642, F128, 28) (dual of [16642, 16566, 29]-code) [i]
11Linear OA(12877, 16663, F128, 28) (dual of [16663, 16586, 29]-code) [i]
12Linear OA(12878, 16408, F128, 28) (dual of [16408, 16330, 29]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(12874, 16404, F128, 28) (dual of [16404, 16330, 29]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(12875, 16406, F128, 28) (dual of [16406, 16331, 29]-code) [i]
15Linear OA(12876, 16408, F128, 28) (dual of [16408, 16332, 29]-code) [i]
16Linear OA(12877, 16410, F128, 28) (dual of [16410, 16333, 29]-code) [i]
17Linear OA(12878, 16642, F128, 28) (dual of [16642, 16564, 29]-code) [i]
18Linear OA(12857, 16386, F128, 29) (dual of [16386, 16329, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
19Linear OA(12855, 16386, F128, 28) (dual of [16386, 16331, 29]-code) [i]✔
20Linear OA(12860, 16389, F128, 30) (dual of [16389, 16329, 31]-code) [i]✔
21Linear OA(12856, 16389, F128, 28) (dual of [16389, 16333, 29]-code) [i]✔
22Linear OA(12863, 16392, F128, 31) (dual of [16392, 16329, 32]-code) [i]✔
23Linear OA(12857, 16392, F128, 28) (dual of [16392, 16335, 29]-code) [i]✔
24Linear OA(12866, 16395, F128, 32) (dual of [16395, 16329, 33]-code) [i]✔
25Linear OA(12858, 16395, F128, 28) (dual of [16395, 16337, 29]-code) [i]✔
26Linear OA(12869, 16398, F128, 33) (dual of [16398, 16329, 34]-code) [i]✔
27Linear OA(12859, 16398, F128, 28) (dual of [16398, 16339, 29]-code) [i]✔
28Linear OA(12872, 16401, F128, 34) (dual of [16401, 16329, 35]-code) [i]✔
29Linear OA(12860, 16401, F128, 28) (dual of [16401, 16341, 29]-code) [i]✔
30Linear OA(12875, 16404, F128, 35) (dual of [16404, 16329, 36]-code) [i]✔
31Linear OA(12861, 16404, F128, 28) (dual of [16404, 16343, 29]-code) [i]✔
32Linear OA(12878, 16407, F128, 36) (dual of [16407, 16329, 37]-code) [i]✔
33Linear OA(12862, 16407, F128, 28) (dual of [16407, 16345, 29]-code) [i]✔
34Linear OA(12863, 16410, F128, 28) (dual of [16410, 16347, 29]-code) [i]✔
35Linear OA(12864, 16413, F128, 28) (dual of [16413, 16349, 29]-code) [i]✔
36Linear OA(12865, 16416, F128, 28) (dual of [16416, 16351, 29]-code) [i]✔
37Linear OA(12866, 16419, F128, 28) (dual of [16419, 16353, 29]-code) [i]✔
38Linear OA(12867, 16422, F128, 28) (dual of [16422, 16355, 29]-code) [i]✔
39Linear OA(12868, 16425, F128, 28) (dual of [16425, 16357, 29]-code) [i]✔
40Linear OOA(12855, 4096, F128, 4, 28) (dual of [(4096, 4), 16329, 29]-NRT-code) [i]OOA Folding
41Linear OOA(12855, 1170, F128, 28, 28) (dual of [(1170, 28), 32705, 29]-NRT-code) [i]OA Folding and Stacking