Information on Result #665182

Linear OA(16102, 1048661, F16, 19) (dual of [1048661, 1048559, 20]-code), using (u, u+v)-construction based on
  1. linear OA(1616, 85, F16, 9) (dual of [85, 69, 10]-code), using
    • the BCH-code C(I) with length 85 | 162−1, defining interval I = {1,4,7,…,25}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using
    • an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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.