Information on Result #612007

Linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(3167, 19697, F3, 26) (dual of [19697, 19530, 27]-code) [i](u, u+v)-Construction
2Linear OA(3164, 19693, F3, 28) (dual of [19693, 19529, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3154, 19692, F3, 26) (dual of [19692, 19538, 27]-code) [i]✔
4Linear OA(3175, 19696, F3, 29) (dual of [19696, 19521, 30]-code) [i]✔
5Linear OA(3176, 19705, F3, 29) (dual of [19705, 19529, 30]-code) [i]✔
6Linear OA(3157, 19696, F3, 26) (dual of [19696, 19539, 27]-code) [i]✔
7Linear OA(3158, 19705, F3, 26) (dual of [19705, 19547, 27]-code) [i]✔
8Linear OA(3188, 19710, F3, 31) (dual of [19710, 19522, 32]-code) [i]✔
9Linear OA(3189, 19718, F3, 31) (dual of [19718, 19529, 32]-code) [i]✔
10Linear OA(3187, 19716, F3, 30) (dual of [19716, 19529, 31]-code) [i]✔
11Linear OA(3160, 19716, F3, 26) (dual of [19716, 19556, 27]-code) [i]✔
12Linear OA(3201, 19724, F3, 32) (dual of [19724, 19523, 33]-code) [i]✔
13Linear OA(3202, 19731, F3, 32) (dual of [19731, 19529, 33]-code) [i]✔
14Linear OA(3165, 19724, F3, 26) (dual of [19724, 19559, 27]-code) [i]✔
15Linear OA(3166, 19731, F3, 26) (dual of [19731, 19565, 27]-code) [i]✔
16Linear OA(3216, 19745, F3, 34) (dual of [19745, 19529, 35]-code) [i]✔
17Linear OA(3170, 19744, F3, 26) (dual of [19744, 19574, 27]-code) [i]✔
18Linear OA(3229, 19758, F3, 35) (dual of [19758, 19529, 36]-code) [i]✔
19Linear OA(3200, 19722, F3, 32) (dual of [19722, 19522, 33]-code) [i]✔
20Linear OA(3201, 19730, F3, 32) (dual of [19730, 19529, 33]-code) [i]✔
21Linear OA(3164, 19722, F3, 26) (dual of [19722, 19558, 27]-code) [i]✔
22Linear OA(3165, 19730, F3, 26) (dual of [19730, 19565, 27]-code) [i]✔
23Linear OA(3215, 19744, F3, 34) (dual of [19744, 19529, 35]-code) [i]✔
24Linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-code) [i]✔
25Linear OA(3168, 19736, F3, 26) (dual of [19736, 19568, 27]-code) [i]✔
26Linear OA(3169, 19743, F3, 26) (dual of [19743, 19574, 27]-code) [i]✔
27Linear OA(3186, 19709, F3, 30) (dual of [19709, 19523, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(3185, 19707, F3, 30) (dual of [19707, 19522, 31]-code) [i]✔
29Linear OA(3175, 19697, F3, 29) (dual of [19697, 19522, 30]-code) [i]✔
30Linear OA(3166, 19697, F3, 28) (dual of [19697, 19531, 29]-code) [i]✔
31Linear OA(3157, 19697, F3, 26) (dual of [19697, 19540, 27]-code) [i]✔
32Linear OOA(3154, 1514, F3, 26, 26) (dual of [(1514, 26), 39210, 27]-NRT-code) [i]OA Folding and Stacking