Information on Result #611666

Linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(372, 531440, F3, 9) (dual of [531440, 531368, 10]-code) [i]Truncation
2Linear OA(378, 531447, F3, 10) (dual of [531447, 531369, 11]-code) [i](u, u+v)-Construction
3Linear OA(385, 531453, F3, 11) (dual of [531453, 531368, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(374, 531454, F3, 10) (dual of [531454, 531380, 11]-code) [i]✔
5Linear OA(398, 531466, F3, 12) (dual of [531466, 531368, 13]-code) [i]✔
6Linear OA(3101, 531469, F3, 13) (dual of [531469, 531368, 14]-code) [i]✔
7Linear OA(377, 531469, F3, 10) (dual of [531469, 531392, 11]-code) [i]✔
8Linear OA(3115, 531483, F3, 14) (dual of [531483, 531368, 15]-code) [i]✔
9Linear OA(386, 531455, F3, 11) (dual of [531455, 531369, 12]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
10Linear OA(374, 531455, F3, 10) (dual of [531455, 531381, 11]-code) [i]✔
11Linear OA(398, 531467, F3, 12) (dual of [531467, 531369, 13]-code) [i]✔
12Linear OOA(373, 265720, F3, 2, 10) (dual of [(265720, 2), 531367, 11]-NRT-code) [i]OOA Folding
13Linear OOA(373, 177147, F3, 3, 10) (dual of [(177147, 3), 531368, 11]-NRT-code) [i]
14Linear OOA(373, 132860, F3, 4, 10) (dual of [(132860, 4), 531367, 11]-NRT-code) [i]
15Linear OOA(373, 106288, F3, 5, 10) (dual of [(106288, 5), 531367, 11]-NRT-code) [i]
16Linear OOA(373, 106288, F3, 10, 10) (dual of [(106288, 10), 1062807, 11]-NRT-code) [i]OA Folding and Stacking