Information on Result #695085

Linear OA(2755, 19686, F27, 19) (dual of [19686, 19631, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
  1. 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 [i]
  2. linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using

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(2765, 19724, F27, 19) (dual of [19724, 19659, 20]-code) [i](u, u+v)-Construction
2Linear OA(2766, 19734, F27, 19) (dual of [19734, 19668, 20]-code) [i]
3Linear OA(2767, 19738, F27, 19) (dual of [19738, 19671, 20]-code) [i]
4Linear OA(2768, 19750, F27, 19) (dual of [19750, 19682, 20]-code) [i]
5Linear OA(2769, 19754, F27, 19) (dual of [19754, 19685, 20]-code) [i]
6Linear OA(2770, 19792, F27, 19) (dual of [19792, 19722, 20]-code) [i]
7Linear OA(2771, 19871, F27, 19) (dual of [19871, 19800, 20]-code) [i]
8Linear OA(2772, 20418, F27, 19) (dual of [20418, 20346, 20]-code) [i]
9OA(2767, 19768, S27, 19) [i]
10OA(2769, 19786, S27, 19) [i]
11OA(2770, 19802, S27, 19) [i]
12Linear OOA(2755, 9843, F27, 2, 19) (dual of [(9843, 2), 19631, 20]-NRT-code) [i]OOA Folding