Information on Result #615479

Linear OA(910, 41, F9, 6) (dual of [41, 31, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(966, 59090, F9, 13) (dual of [59090, 59024, 14]-code) [i](u, u+v)-Construction
2Linear OA(988, 4783010, F9, 13) (dual of [4783010, 4782922, 14]-code) [i]
3Linear OA(9123, 4783011, F9, 18) (dual of [4783011, 4782888, 19]-code) [i]Construction X with Cyclic Codes
4Linear OA(9141, 59091, F9, 28) (dual of [59091, 58950, 29]-code) [i]
5Linear OA(9131, 59091, F9, 26) (dual of [59091, 58960, 27]-code) [i]
6Linear OA(9137, 531482, F9, 24) (dual of [531482, 531345, 25]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(9131, 531482, F9, 23) (dual of [531482, 531351, 24]-code) [i]
8Linear OA(9125, 531482, F9, 22) (dual of [531482, 531357, 23]-code) [i]
9Linear OA(9119, 531482, F9, 21) (dual of [531482, 531363, 22]-code) [i]
10Linear OA(9113, 531482, F9, 20) (dual of [531482, 531369, 21]-code) [i]
11Linear OA(9107, 531482, F9, 19) (dual of [531482, 531375, 20]-code) [i]
12Linear OA(9126, 59090, F9, 26) (dual of [59090, 58964, 27]-code) [i]
13Linear OA(986, 59090, F9, 17) (dual of [59090, 59004, 18]-code) [i]
14Linear OA(912, 43, F9, 7) (dual of [43, 31, 8]-code) [i]✔
15Linear OA(910, 42, F9, 6) (dual of [42, 32, 7]-code) [i]✔