Information on Result #695090

Linear OA(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(2746, 19686, F27, 16) (dual of [19686, 19640, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2743, 19686, F27, 15) (dual of [19686, 19643, 16]-code) [i]✔
3Linear OA(2754, 19694, F27, 18) (dual of [19694, 19640, 19]-code) [i]✔
4Linear OA(2745, 19694, F27, 15) (dual of [19694, 19649, 16]-code) [i]✔
5Linear OA(2762, 19702, F27, 20) (dual of [19702, 19640, 21]-code) [i]✔
6Linear OA(2747, 19702, F27, 15) (dual of [19702, 19655, 16]-code) [i]✔
7Linear OA(2770, 19710, F27, 22) (dual of [19710, 19640, 23]-code) [i]✔
8Linear OA(2749, 19710, F27, 15) (dual of [19710, 19661, 16]-code) [i]✔
9Linear OA(2779, 19719, F27, 24) (dual of [19719, 19640, 25]-code) [i]✔
10Linear OA(2788, 19728, F27, 26) (dual of [19728, 19640, 27]-code) [i]✔
11Linear OA(2793, 19731, F27, 28) (dual of [19731, 19638, 29]-code) [i]✔
12Linear OA(2794, 19734, F27, 28) (dual of [19734, 19640, 29]-code) [i]✔
13Linear OA(2799, 19739, F27, 29) (dual of [19739, 19640, 30]-code) [i]✔
14Linear OA(27103, 19743, F27, 30) (dual of [19743, 19640, 31]-code) [i]✔
15Linear OA(2771, 19712, F27, 22) (dual of [19712, 19641, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes