Information on Result #619613

Linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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(12844, 16513, F128, 18) (dual of [16513, 16469, 19]-code) [i](u, u+v)-Construction
2Linear OA(12845, 16534, F128, 18) (dual of [16534, 16489, 19]-code) [i]
3Linear OA(12846, 16536, F128, 18) (dual of [16536, 16490, 19]-code) [i]
4Linear OA(12847, 16576, F128, 18) (dual of [16576, 16529, 19]-code) [i]
5Linear OA(12848, 16640, F128, 18) (dual of [16640, 16592, 19]-code) [i]
6Linear OA(12850, 16766, F128, 18) (dual of [16766, 16716, 19]-code) [i]
7Linear OA(12851, 16771, F128, 18) (dual of [16771, 16720, 19]-code) [i]
8Linear OA(12848, 16642, F128, 18) (dual of [16642, 16594, 19]-code) [i]
9Linear OA(12849, 16663, F128, 18) (dual of [16663, 16614, 19]-code) [i]
10Linear OA(12850, 16400, F128, 18) (dual of [16400, 16350, 19]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(12849, 16399, F128, 18) (dual of [16399, 16350, 19]-code) [i]
12Linear OA(12851, 16402, F128, 18) (dual of [16402, 16351, 19]-code) [i]
13Linear OA(12848, 16398, F128, 18) (dual of [16398, 16350, 19]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(12849, 16400, F128, 18) (dual of [16400, 16351, 19]-code) [i]
15Linear OA(12850, 16642, F128, 18) (dual of [16642, 16592, 19]-code) [i]
16Linear OA(12851, 16663, F128, 18) (dual of [16663, 16612, 19]-code) [i]
17Linear OA(12837, 16386, F128, 19) (dual of [16386, 16349, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
18Linear OA(12835, 16386, F128, 18) (dual of [16386, 16351, 19]-code) [i]✔
19Linear OA(12840, 16389, F128, 20) (dual of [16389, 16349, 21]-code) [i]✔
20Linear OA(12836, 16389, F128, 18) (dual of [16389, 16353, 19]-code) [i]✔
21Linear OA(12843, 16392, F128, 21) (dual of [16392, 16349, 22]-code) [i]✔
22Linear OA(12837, 16392, F128, 18) (dual of [16392, 16355, 19]-code) [i]✔
23Linear OA(12846, 16395, F128, 22) (dual of [16395, 16349, 23]-code) [i]✔
24Linear OA(12838, 16395, F128, 18) (dual of [16395, 16357, 19]-code) [i]✔
25Linear OA(12849, 16398, F128, 23) (dual of [16398, 16349, 24]-code) [i]✔
26Linear OA(12839, 16398, F128, 18) (dual of [16398, 16359, 19]-code) [i]✔
27Linear OA(12852, 16401, F128, 24) (dual of [16401, 16349, 25]-code) [i]✔
28Linear OA(12840, 16401, F128, 18) (dual of [16401, 16361, 19]-code) [i]✔
29Linear OA(12855, 16404, F128, 25) (dual of [16404, 16349, 26]-code) [i]✔
30Linear OA(12841, 16404, F128, 18) (dual of [16404, 16363, 19]-code) [i]✔
31Linear OA(12858, 16407, F128, 26) (dual of [16407, 16349, 27]-code) [i]✔
32Linear OA(12842, 16407, F128, 18) (dual of [16407, 16365, 19]-code) [i]✔
33Linear OA(12861, 16410, F128, 27) (dual of [16410, 16349, 28]-code) [i]✔
34Linear OA(12843, 16410, F128, 18) (dual of [16410, 16367, 19]-code) [i]✔
35Linear OA(12864, 16413, F128, 28) (dual of [16413, 16349, 29]-code) [i]✔
36Linear OA(12867, 16416, F128, 29) (dual of [16416, 16349, 30]-code) [i]✔
37Linear OA(12870, 16419, F128, 30) (dual of [16419, 16349, 31]-code) [i]✔
38Linear OA(12873, 16422, F128, 31) (dual of [16422, 16349, 32]-code) [i]✔
39Linear OA(12876, 16425, F128, 32) (dual of [16425, 16349, 33]-code) [i]✔
40Linear OOA(12835, 4096, F128, 4, 18) (dual of [(4096, 4), 16349, 19]-NRT-code) [i]OOA Folding
41Linear OOA(12835, 1820, F128, 18, 18) (dual of [(1820, 18), 32725, 19]-NRT-code) [i]OA Folding and Stacking