Information on Result #616208

Linear OA(169, 20, F16, 7) (dual of [20, 11, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
  1. linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OA(166, 17, F16, 4) (dual of [17, 11, 5]-code), using the narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [1,3], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
  3. linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), 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.