Information on Result #696244

Linear OA(2797, 370, F27, 52) (dual of [370, 273, 53]-code), using construction X applied to Ce(51) ⊂ Ce(49) based on
  1. linear OA(2796, 365, F27, 52) (dual of [365, 269, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
  2. linear OA(2792, 365, F27, 50) (dual of [365, 273, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
  3. linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-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 OOA(2797, 185, F27, 2, 52) (dual of [(185, 2), 273, 53]-NRT-code) [i]OOA Folding