Information on Result #696284

Linear OA(2793, 184, F27, 57) (dual of [184, 91, 58]-code), using construction X applied to Ce(56) ⊂ Ce(55) based on
  1. linear OA(2793, 183, F27, 57) (dual of [183, 90, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
  2. linear OA(2792, 183, F27, 56) (dual of [183, 91, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
  3. linear OA(270, 1, F27, 0) (dual of [1, 1, 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(2793, 184, F27, 56) (dual of [184, 91, 57]-code) [i]Strength Reduction
2Linear OA(2794, 185, F27, 57) (dual of [185, 91, 58]-code) [i]Code Embedding in Larger Space
3Linear OA(2790, 181, F27, 54) (dual of [181, 91, 55]-code) [i]Truncation
4Linear OA(2789, 180, F27, 53) (dual of [180, 91, 54]-code) [i]
5Linear OOA(2793, 92, F27, 2, 57) (dual of [(92, 2), 91, 58]-NRT-code) [i]OOA Folding