Information on Result #612123

Linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32

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(3206, 19700, F3, 32) (dual of [19700, 19494, 33]-code) [i](u, u+v)-Construction
2Linear OA(3200, 19693, F3, 34) (dual of [19693, 19493, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3190, 19692, F3, 32) (dual of [19692, 19502, 33]-code) [i]✔
4Linear OA(3211, 19696, F3, 35) (dual of [19696, 19485, 36]-code) [i]✔
5Linear OA(3212, 19705, F3, 35) (dual of [19705, 19493, 36]-code) [i]✔
6Linear OA(3193, 19696, F3, 32) (dual of [19696, 19503, 33]-code) [i]✔
7Linear OA(3194, 19705, F3, 32) (dual of [19705, 19511, 33]-code) [i]✔
8Linear OA(3224, 19710, F3, 37) (dual of [19710, 19486, 38]-code) [i]✔
9Linear OA(3225, 19718, F3, 37) (dual of [19718, 19493, 38]-code) [i]✔
10Linear OA(3223, 19716, F3, 36) (dual of [19716, 19493, 37]-code) [i]✔
11Linear OA(3196, 19716, F3, 32) (dual of [19716, 19520, 33]-code) [i]✔
12Linear OA(3237, 19724, F3, 38) (dual of [19724, 19487, 39]-code) [i]✔
13Linear OA(3238, 19731, F3, 38) (dual of [19731, 19493, 39]-code) [i]✔
14Linear OA(3201, 19724, F3, 32) (dual of [19724, 19523, 33]-code) [i]✔
15Linear OA(3202, 19731, F3, 32) (dual of [19731, 19529, 33]-code) [i]✔
16Linear OA(3206, 19744, F3, 32) (dual of [19744, 19538, 33]-code) [i]✔
17Linear OA(3236, 19722, F3, 38) (dual of [19722, 19486, 39]-code) [i]✔
18Linear OA(3237, 19730, F3, 38) (dual of [19730, 19493, 39]-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(3249, 19736, F3, 39) (dual of [19736, 19487, 40]-code) [i]✔
22Linear OA(3250, 19743, F3, 39) (dual of [19743, 19493, 40]-code) [i]✔
23Linear OA(3204, 19736, F3, 32) (dual of [19736, 19532, 33]-code) [i]✔
24Linear OA(3205, 19743, F3, 32) (dual of [19743, 19538, 33]-code) [i]✔
25Linear OA(3222, 19709, F3, 36) (dual of [19709, 19487, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(3221, 19707, F3, 36) (dual of [19707, 19486, 37]-code) [i]✔
27Linear OA(3211, 19697, F3, 35) (dual of [19697, 19486, 36]-code) [i]✔
28Linear OA(3202, 19697, F3, 34) (dual of [19697, 19495, 35]-code) [i]✔
29Linear OA(3193, 19697, F3, 32) (dual of [19697, 19504, 33]-code) [i]✔
30Linear OOA(3190, 1230, F3, 32, 32) (dual of [(1230, 32), 39170, 33]-NRT-code) [i]OA Folding and Stacking