Information on Result #619583

Linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(12834, 16513, F128, 14) (dual of [16513, 16479, 15]-code) [i](u, u+v)-Construction
2Linear OA(12835, 16534, F128, 14) (dual of [16534, 16499, 15]-code) [i]
3Linear OA(12836, 16536, F128, 14) (dual of [16536, 16500, 15]-code) [i]
4Linear OA(12837, 16640, F128, 14) (dual of [16640, 16603, 15]-code) [i]
5Linear OA(12838, 16766, F128, 14) (dual of [16766, 16728, 15]-code) [i]
6Linear OA(12839, 16771, F128, 14) (dual of [16771, 16732, 15]-code) [i]
7Linear OA(12837, 16642, F128, 14) (dual of [16642, 16605, 15]-code) [i]
8Linear OA(12838, 16396, F128, 14) (dual of [16396, 16358, 15]-code) [i]Generalized (u, u+v)-Construction
9Linear OA(12839, 16399, F128, 14) (dual of [16399, 16360, 15]-code) [i]
10Linear OA(12836, 16394, F128, 14) (dual of [16394, 16358, 15]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(12837, 16396, F128, 14) (dual of [16396, 16359, 15]-code) [i]
12Linear OA(12838, 16642, F128, 14) (dual of [16642, 16604, 15]-code) [i]
13Linear OA(12839, 16663, F128, 14) (dual of [16663, 16624, 15]-code) [i]
14Linear OA(12829, 16386, F128, 15) (dual of [16386, 16357, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
15Linear OA(12827, 16386, F128, 14) (dual of [16386, 16359, 15]-code) [i]✔
16Linear OA(12832, 16389, F128, 16) (dual of [16389, 16357, 17]-code) [i]✔
17Linear OA(12828, 16389, F128, 14) (dual of [16389, 16361, 15]-code) [i]✔
18Linear OA(12835, 16392, F128, 17) (dual of [16392, 16357, 18]-code) [i]✔
19Linear OA(12829, 16392, F128, 14) (dual of [16392, 16363, 15]-code) [i]✔
20Linear OA(12838, 16395, F128, 18) (dual of [16395, 16357, 19]-code) [i]✔
21Linear OA(12830, 16395, F128, 14) (dual of [16395, 16365, 15]-code) [i]✔
22Linear OA(12841, 16398, F128, 19) (dual of [16398, 16357, 20]-code) [i]✔
23Linear OA(12831, 16398, F128, 14) (dual of [16398, 16367, 15]-code) [i]✔
24Linear OA(12844, 16401, F128, 20) (dual of [16401, 16357, 21]-code) [i]✔
25Linear OA(12832, 16401, F128, 14) (dual of [16401, 16369, 15]-code) [i]✔
26Linear OA(12847, 16404, F128, 21) (dual of [16404, 16357, 22]-code) [i]✔
27Linear OA(12833, 16404, F128, 14) (dual of [16404, 16371, 15]-code) [i]✔
28Linear OA(12850, 16407, F128, 22) (dual of [16407, 16357, 23]-code) [i]✔
29Linear OA(12853, 16410, F128, 23) (dual of [16410, 16357, 24]-code) [i]✔
30Linear OA(12856, 16413, F128, 24) (dual of [16413, 16357, 25]-code) [i]✔
31Linear OA(12859, 16416, F128, 25) (dual of [16416, 16357, 26]-code) [i]✔
32Linear OA(12862, 16419, F128, 26) (dual of [16419, 16357, 27]-code) [i]✔
33Linear OA(12865, 16422, F128, 27) (dual of [16422, 16357, 28]-code) [i]✔
34Linear OA(12868, 16425, F128, 28) (dual of [16425, 16357, 29]-code) [i]✔
35Linear OOA(12827, 4096, F128, 4, 14) (dual of [(4096, 4), 16357, 15]-NRT-code) [i]OOA Folding
36Linear OOA(12827, 2340, F128, 14, 14) (dual of [(2340, 14), 32733, 15]-NRT-code) [i]OA Folding and Stacking