Information on Result #617667

Linear OA(2792, 19698, F27, 27) (dual of [19698, 19606, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
  1. linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(2778, 19684, F27, 13) (dual of [19684, 19606, 14]-code), using the narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(2713, 14, F27, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,27)), 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.