Information on Result #695084

Linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, 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(2758, 19686, F27, 20) (dual of [19686, 19628, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2755, 19686, F27, 19) (dual of [19686, 19631, 20]-code) [i]✔
3Linear OA(2766, 19694, F27, 22) (dual of [19694, 19628, 23]-code) [i]✔
4Linear OA(2757, 19694, F27, 19) (dual of [19694, 19637, 20]-code) [i]✔
5Linear OA(2774, 19702, F27, 24) (dual of [19702, 19628, 25]-code) [i]✔
6Linear OA(2759, 19702, F27, 19) (dual of [19702, 19643, 20]-code) [i]✔
7Linear OA(2782, 19710, F27, 26) (dual of [19710, 19628, 27]-code) [i]✔
8Linear OA(2761, 19710, F27, 19) (dual of [19710, 19649, 20]-code) [i]✔
9Linear OA(2788, 19716, F27, 28) (dual of [19716, 19628, 29]-code) [i]✔
10Linear OA(2792, 19720, F27, 29) (dual of [19720, 19628, 30]-code) [i]✔
11Linear OA(2764, 19719, F27, 19) (dual of [19719, 19655, 20]-code) [i]✔
12Linear OA(2797, 19725, F27, 30) (dual of [19725, 19628, 31]-code) [i]✔
13Linear OA(27101, 19729, F27, 31) (dual of [19729, 19628, 32]-code) [i]✔
14Linear OA(27105, 19731, F27, 32) (dual of [19731, 19626, 33]-code) [i]✔
15Linear OA(27106, 19734, F27, 32) (dual of [19734, 19628, 33]-code) [i]✔
16Linear OA(2783, 19712, F27, 26) (dual of [19712, 19629, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes