Information on Result #619655

Linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(12859, 16513, F128, 24) (dual of [16513, 16454, 25]-code) [i](u, u+v)-Construction
2Linear OA(12860, 16534, F128, 24) (dual of [16534, 16474, 25]-code) [i]
3Linear OA(12861, 16536, F128, 24) (dual of [16536, 16475, 25]-code) [i]
4Linear OA(12862, 16576, F128, 24) (dual of [16576, 16514, 25]-code) [i]
5Linear OA(12863, 16578, F128, 24) (dual of [16578, 16515, 25]-code) [i]
6Linear OA(12864, 16600, F128, 24) (dual of [16600, 16536, 25]-code) [i]
7Linear OA(12865, 16640, F128, 24) (dual of [16640, 16575, 25]-code) [i]
8Linear OA(12867, 16766, F128, 24) (dual of [16766, 16699, 25]-code) [i]
9Linear OA(12869, 16771, F128, 24) (dual of [16771, 16702, 25]-code) [i]
10Linear OA(12865, 16642, F128, 24) (dual of [16642, 16577, 25]-code) [i]
11Linear OA(12866, 16663, F128, 24) (dual of [16663, 16597, 25]-code) [i]
12Linear OA(12866, 16404, F128, 24) (dual of [16404, 16338, 25]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(12869, 16408, F128, 24) (dual of [16408, 16339, 25]-code) [i]
14Linear OA(12864, 16402, F128, 24) (dual of [16402, 16338, 25]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(12865, 16404, F128, 24) (dual of [16404, 16339, 25]-code) [i]
16Linear OA(12866, 16406, F128, 24) (dual of [16406, 16340, 25]-code) [i]
17Linear OA(12867, 16642, F128, 24) (dual of [16642, 16575, 25]-code) [i]
18Linear OA(12868, 16663, F128, 24) (dual of [16663, 16595, 25]-code) [i]
19Linear OA(12869, 16684, F128, 24) (dual of [16684, 16615, 25]-code) [i]
20Linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
21Linear OA(12847, 16386, F128, 24) (dual of [16386, 16339, 25]-code) [i]✔
22Linear OA(12852, 16389, F128, 26) (dual of [16389, 16337, 27]-code) [i]✔
23Linear OA(12848, 16389, F128, 24) (dual of [16389, 16341, 25]-code) [i]✔
24Linear OA(12855, 16392, F128, 27) (dual of [16392, 16337, 28]-code) [i]✔
25Linear OA(12849, 16392, F128, 24) (dual of [16392, 16343, 25]-code) [i]✔
26Linear OA(12858, 16395, F128, 28) (dual of [16395, 16337, 29]-code) [i]✔
27Linear OA(12850, 16395, F128, 24) (dual of [16395, 16345, 25]-code) [i]✔
28Linear OA(12861, 16398, F128, 29) (dual of [16398, 16337, 30]-code) [i]✔
29Linear OA(12851, 16398, F128, 24) (dual of [16398, 16347, 25]-code) [i]✔
30Linear OA(12864, 16401, F128, 30) (dual of [16401, 16337, 31]-code) [i]✔
31Linear OA(12852, 16401, F128, 24) (dual of [16401, 16349, 25]-code) [i]✔
32Linear OA(12867, 16404, F128, 31) (dual of [16404, 16337, 32]-code) [i]✔
33Linear OA(12853, 16404, F128, 24) (dual of [16404, 16351, 25]-code) [i]✔
34Linear OA(12870, 16407, F128, 32) (dual of [16407, 16337, 33]-code) [i]✔
35Linear OA(12854, 16407, F128, 24) (dual of [16407, 16353, 25]-code) [i]✔
36Linear OA(12873, 16410, F128, 33) (dual of [16410, 16337, 34]-code) [i]✔
37Linear OA(12855, 16410, F128, 24) (dual of [16410, 16355, 25]-code) [i]✔
38Linear OA(12876, 16413, F128, 34) (dual of [16413, 16337, 35]-code) [i]✔
39Linear OA(12856, 16413, F128, 24) (dual of [16413, 16357, 25]-code) [i]✔
40Linear OA(12857, 16416, F128, 24) (dual of [16416, 16359, 25]-code) [i]✔
41Linear OA(12858, 16419, F128, 24) (dual of [16419, 16361, 25]-code) [i]✔
42Linear OOA(12847, 4096, F128, 4, 24) (dual of [(4096, 4), 16337, 25]-NRT-code) [i]OOA Folding
43Linear OOA(12847, 1365, F128, 24, 24) (dual of [(1365, 24), 32713, 25]-NRT-code) [i]OA Folding and Stacking