Information on Result #692590

Linear OA(16113, 281, F16, 57) (dual of [281, 168, 58]-code), using construction X applied to C([0,28]) ⊂ C([0,24]) based on
  1. linear OA(16105, 257, F16, 57) (dual of [257, 152, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
  2. linear OA(1689, 257, F16, 49) (dual of [257, 168, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  3. linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-code), using

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.