Information on Result #674522

Linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(3205, 531453, F3, 26) (dual of [531453, 531248, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3194, 531454, F3, 25) (dual of [531454, 531260, 26]-code) [i]✔
3Linear OA(3221, 531469, F3, 28) (dual of [531469, 531248, 29]-code) [i]✔
4Linear OA(3194, 531466, F3, 24) (dual of [531466, 531272, 25]-code) [i]✔
5Linear OA(3197, 531469, F3, 25) (dual of [531469, 531272, 26]-code) [i]✔
6Linear OA(3235, 531483, F3, 29) (dual of [531483, 531248, 30]-code) [i]✔
7Linear OA(3201, 531482, F3, 25) (dual of [531482, 531281, 26]-code) [i]✔
8Linear OA(3202, 531486, F3, 25) (dual of [531486, 531284, 26]-code) [i]✔
9Linear OA(3199, 531483, F3, 24) (dual of [531483, 531284, 25]-code) [i]✔
10Linear OA(3194, 531467, F3, 24) (dual of [531467, 531273, 25]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
11Linear OOA(3193, 177147, F3, 3, 25) (dual of [(177147, 3), 531248, 26]-NRT-code) [i]OOA Folding
12Linear OOA(3193, 132860, F3, 4, 25) (dual of [(132860, 4), 531247, 26]-NRT-code) [i]
13Linear OOA(3193, 106288, F3, 5, 25) (dual of [(106288, 5), 531247, 26]-NRT-code) [i]
14Linear OOA(3193, 44286, F3, 25, 25) (dual of [(44286, 25), 1106957, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row