Information on Result #667605

Linear OA(2750, 19739, F27, 14) (dual of [19739, 19689, 15]-code), using (u, u+v)-construction based on
  1. linear OA(2710, 56, F27, 7) (dual of [56, 46, 8]-code), using
    • the BCH-code C(I) with length 56 | 272−1, defining interval I = {27,32,37,…,1}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using
    • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.