Information on Result #695096

Linear OA(2731, 19683, F27, 11) (dual of [19683, 19652, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(2734, 19686, F27, 12) (dual of [19686, 19652, 13]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2731, 19686, F27, 11) (dual of [19686, 19655, 12]-code) [i]✔
3Linear OA(2742, 19694, F27, 14) (dual of [19694, 19652, 15]-code) [i]✔
4Linear OA(2733, 19694, F27, 11) (dual of [19694, 19661, 12]-code) [i]✔
5Linear OA(2750, 19702, F27, 16) (dual of [19702, 19652, 17]-code) [i]✔
6Linear OA(2735, 19702, F27, 11) (dual of [19702, 19667, 12]-code) [i]✔
7Linear OA(2758, 19710, F27, 18) (dual of [19710, 19652, 19]-code) [i]✔
8Linear OA(2767, 19719, F27, 20) (dual of [19719, 19652, 21]-code) [i]✔
9Linear OA(2776, 19728, F27, 22) (dual of [19728, 19652, 23]-code) [i]✔
10Linear OA(2759, 19712, F27, 18) (dual of [19712, 19653, 19]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(2732, 19694, F27, 10) (dual of [19694, 19662, 11]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes