Information on Result #615920

Linear OA(9101, 163, F9, 41) (dual of [163, 62, 42]-code), using construction X applied to C([0,20]) ⊂ C([1,20]) based on
  1. linear OA(985, 146, F9, 41) (dual of [146, 61, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 96−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  2. linear OA(984, 146, F9, 24) (dual of [146, 62, 25]-code), using the narrow-sense BCH-code C(I) with length 146 | 96−1, defining interval I = [1,20], and minimum distance d ≥ |{4,5,…,20}| + |{−45,−24,−3,…,0}∖{−42,−63,62,41,20,−43,−64,61,40,19,−44,−65,60,39,18,−45}| = 25 (general Roos-bound) [i]
  3. linear OA(916, 17, F9, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,9)), 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.