Information on Result #612365

Linear OA(3232, 1094, F3, 52) (dual of [1094, 862, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52

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(3239, 1101, F3, 53) (dual of [1101, 862, 54]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3233, 1102, F3, 52) (dual of [1102, 869, 53]-code) [i]✔
3Linear OA(3247, 1109, F3, 54) (dual of [1109, 862, 55]-code) [i]✔
4Linear OA(3249, 1107, F3, 55) (dual of [1107, 858, 56]-code) [i]✔
5Linear OA(3250, 1112, F3, 55) (dual of [1112, 862, 56]-code) [i]✔
6Linear OA(3233, 1109, F3, 51) (dual of [1109, 876, 52]-code) [i]✔
7Linear OA(3235, 1107, F3, 52) (dual of [1107, 872, 53]-code) [i]✔
8Linear OA(3236, 1112, F3, 52) (dual of [1112, 876, 53]-code) [i]✔
9Linear OA(3237, 1114, F3, 51) (dual of [1114, 877, 52]-code) [i]✔
10Linear OA(3248, 1104, F3, 55) (dual of [1104, 856, 56]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(3250, 1114, F3, 54) (dual of [1114, 864, 55]-code) [i]✔
12Linear OA(3249, 1112, F3, 54) (dual of [1112, 863, 55]-code) [i]✔
13Linear OA(3241, 1104, F3, 53) (dual of [1104, 863, 54]-code) [i]✔
14Linear OA(3234, 1104, F3, 52) (dual of [1104, 870, 53]-code) [i]✔
15Linear OA(3237, 1116, F3, 51) (dual of [1116, 879, 52]-code) [i]✔
16Linear OA(3236, 1114, F3, 51) (dual of [1114, 878, 52]-code) [i]✔
17Linear OA(3238, 1115, F3, 52) (dual of [1115, 877, 53]-code) [i]✔
18Linear OA(3235, 1112, F3, 51) (dual of [1112, 877, 52]-code) [i]✔
19Linear OOA(3232, 547, F3, 2, 52) (dual of [(547, 2), 862, 53]-NRT-code) [i]OOA Folding