Information on Result #616605

Linear OA(1673, 80, F16, 49) (dual of [80, 7, 50]-code), using construction X applied to C([0,44]) ⊂ C([1,44]) based on
  1. linear OA(1669, 75, F16, 49) (dual of [75, 6, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 75 | 165−1, defining interval I = [0,44], and minimum distance d ≥ |{−4,−3,…,44}|+1 = 50 (BCH-bound) [i]
  2. linear OA(1668, 75, F16, 44) (dual of [75, 7, 45]-code), using the narrow-sense BCH-code C(I) with length 75 | 165−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(164, 5, F16, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,16)), 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.