Information on Result #696329

Linear OA(27109, 188, F27, 67) (dual of [188, 79, 68]-code), using construction X applied to Ce(66) ⊂ Ce(64) based on
  1. linear OA(27108, 183, F27, 67) (dual of [183, 75, 68]-code), using an extension Ce(66) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,66], and designed minimum distance d ≥ |I|+1 = 67 [i]
  2. linear OA(27104, 183, F27, 65) (dual of [183, 79, 66]-code), using an extension Ce(64) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,64], and designed minimum distance d ≥ |I|+1 = 65 [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(27109, 94, F27, 2, 67) (dual of [(94, 2), 79, 68]-NRT-code) [i]OOA Folding