Information on Result #665207

Linear OA(1659, 4147, F16, 17) (dual of [4147, 4088, 18]-code), using (u, u+v)-construction based on
  1. linear OA(1613, 51, F16, 8) (dual of [51, 38, 9]-code), using
    • the BCH-code C(I) with length 51 | 162−1, defining interval I = {1,5,9,…,29}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using
    • an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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.