Information on Result #611863

Linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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, 531452, F3, 20) (dual of [531452, 531285, 21]-code) [i](u, u+v)-Construction
2Linear OA(3170, 531454, F3, 22) (dual of [531454, 531284, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3157, 531453, F3, 20) (dual of [531453, 531296, 21]-code) [i]✔
4Linear OA(3185, 531469, F3, 23) (dual of [531469, 531284, 24]-code) [i]✔
5Linear OA(3161, 531469, F3, 20) (dual of [531469, 531308, 21]-code) [i]✔
6Linear OA(3201, 531482, F3, 25) (dual of [531482, 531281, 26]-code) [i]✔
7Linear OA(3202, 531486, F3, 25) (dual of [531486, 531284, 26]-code) [i]✔
8Linear OA(3199, 531483, F3, 24) (dual of [531483, 531284, 25]-code) [i]✔
9Linear OA(3163, 531483, F3, 20) (dual of [531483, 531320, 21]-code) [i]✔
10Linear OA(3217, 531497, F3, 26) (dual of [531497, 531280, 27]-code) [i]✔
11Linear OA(3218, 531502, F3, 26) (dual of [531502, 531284, 27]-code) [i]✔
12Linear OA(3169, 531497, F3, 20) (dual of [531497, 531328, 21]-code) [i]✔
13Linear OA(3234, 531518, F3, 28) (dual of [531518, 531284, 29]-code) [i]✔
14Linear OA(3216, 531500, F3, 26) (dual of [531500, 531284, 27]-code) [i]✔
15Linear OA(3168, 531500, F3, 20) (dual of [531500, 531332, 21]-code) [i]✔
16Linear OA(3233, 531517, F3, 28) (dual of [531517, 531284, 29]-code) [i]✔
17Linear OA(3182, 531467, F3, 22) (dual of [531467, 531285, 23]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes