Information on Result #667382

Linear OA(2786, 19789, F27, 23) (dual of [19789, 19703, 24]-code), using (u, u+v)-construction based on
  1. linear OA(2719, 105, F27, 11) (dual of [105, 86, 12]-code), using
    • an extension Ce(10) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(2767, 19684, F27, 23) (dual of [19684, 19617, 24]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.