Information on Result #667283

Linear OA(27101, 19789, F27, 27) (dual of [19789, 19688, 28]-code), using (u, u+v)-construction based on
  1. linear OA(2722, 105, F27, 13) (dual of [105, 83, 14]-code), using
    • an extension Ce(12) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]

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

None.