Information on Result #619413

Linear OA(8145, 95, F81, 33) (dual of [95, 50, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
  1. linear OA(8133, 82, F81, 33) (dual of [82, 49, 34]-code or 82-arc in PG(32,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(8132, 82, F81, 20) (dual of [82, 50, 21]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,16], and minimum distance d ≥ |{4,5,…,16}| + |{29,62,13,…,0}∖{−33,16,32,−34,15,31,−35,14,30,−36,13,29}| = 21 (general Roos-bound) [i]
  3. linear OA(8112, 13, F81, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,81)), 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.