Information on Result #674527

Linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(3157, 531453, F3, 20) (dual of [531453, 531296, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3146, 531454, F3, 19) (dual of [531454, 531308, 20]-code) [i]✔
3Linear OA(3173, 531469, F3, 22) (dual of [531469, 531296, 23]-code) [i]✔
4Linear OA(3146, 531466, F3, 18) (dual of [531466, 531320, 19]-code) [i]✔
5Linear OA(3149, 531469, F3, 19) (dual of [531469, 531320, 20]-code) [i]✔
6Linear OA(3187, 531483, F3, 23) (dual of [531483, 531296, 24]-code) [i]✔
7Linear OA(3153, 531482, F3, 19) (dual of [531482, 531329, 20]-code) [i]✔
8Linear OA(3154, 531486, F3, 19) (dual of [531486, 531332, 20]-code) [i]✔
9Linear OA(3151, 531483, F3, 18) (dual of [531483, 531332, 19]-code) [i]✔
10Linear OA(3221, 531517, F3, 26) (dual of [531517, 531296, 27]-code) [i]✔
11Linear OA(3220, 531516, F3, 26) (dual of [531516, 531296, 27]-code) [i]✔
12Linear OA(3146, 531467, F3, 18) (dual of [531467, 531321, 19]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
13Linear OOA(3145, 177147, F3, 3, 19) (dual of [(177147, 3), 531296, 20]-NRT-code) [i]OOA Folding
14Linear OOA(3145, 132860, F3, 4, 19) (dual of [(132860, 4), 531295, 20]-NRT-code) [i]
15Linear OOA(3145, 106288, F3, 5, 19) (dual of [(106288, 5), 531295, 20]-NRT-code) [i]