Information on Result #619346

Linear OA(8132, 92, F81, 23) (dual of [92, 60, 24]-code), using construction X applied to C([0,11]) ⊂ C([1,11]) based on
  1. linear OA(8123, 82, F81, 23) (dual of [82, 59, 24]-code or 82-arc in PG(22,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(8122, 82, F81, 13) (dual of [82, 60, 14]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,11], and minimum distance d ≥ |{2,3,…,11}| + |{0,35,70,…,10}∖{35,23,−24,11,−36,34,22,−25,10}| = 14 (general Roos-bound) [i]
  3. linear OA(819, 10, F81, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,81)), 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.