Information on Result #611936

Linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(3192, 531453, F3, 23) (dual of [531453, 531261, 24]-code) [i](u, u+v)-Construction
2Linear OA(3195, 531457, F3, 23) (dual of [531457, 531262, 24]-code) [i]
3Linear OA(3194, 531454, F3, 25) (dual of [531454, 531260, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3181, 531453, F3, 23) (dual of [531453, 531272, 24]-code) [i]✔
5Linear OA(3209, 531469, F3, 26) (dual of [531469, 531260, 27]-code) [i]✔
6Linear OA(3185, 531469, F3, 23) (dual of [531469, 531284, 24]-code) [i]✔
7Linear OA(3225, 531482, F3, 28) (dual of [531482, 531257, 29]-code) [i]✔
8Linear OA(3226, 531486, F3, 28) (dual of [531486, 531260, 29]-code) [i]✔
9Linear OA(3223, 531483, F3, 27) (dual of [531483, 531260, 28]-code) [i]✔
10Linear OA(3187, 531483, F3, 23) (dual of [531483, 531296, 24]-code) [i]✔
11Linear OA(3241, 531497, F3, 29) (dual of [531497, 531256, 30]-code) [i]✔
12Linear OA(3242, 531502, F3, 29) (dual of [531502, 531260, 30]-code) [i]✔
13Linear OA(3193, 531497, F3, 23) (dual of [531497, 531304, 24]-code) [i]✔
14Linear OA(3194, 531502, F3, 23) (dual of [531502, 531308, 24]-code) [i]✔
15Linear OA(3240, 531500, F3, 29) (dual of [531500, 531260, 30]-code) [i]✔
16Linear OA(3192, 531500, F3, 23) (dual of [531500, 531308, 24]-code) [i]✔
17Linear OA(3182, 531467, F3, 22) (dual of [531467, 531285, 23]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes