Information on Result #619272

Linear OA(8118, 88, F81, 13) (dual of [88, 70, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
  1. linear OA(8113, 82, F81, 13) (dual of [82, 69, 14]-code or 82-arc in PG(12,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  2. linear OA(8112, 82, F81, 7) (dual of [82, 70, 8]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,6], and minimum distance d ≥ |{1,2,…,6}| + |{−7,0}| = 8 (simple Roos-bound) [i]
  3. linear OA(815, 6, F81, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,81)), 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.