Information on Result #617910

Linear OA(2766, 69, F27, 53) (dual of [69, 3, 54]-code), using construction X applied to C([0,40]) ⊂ C([1,40]) based on
  1. linear OA(2754, 56, F27, 53) (dual of [56, 2, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 56 | 272−1, defining interval I = [0,40], and minimum distance d ≥ |{−12,−11,…,40}|+1 = 54 (BCH-bound) [i]
  2. linear OA(2753, 56, F27, 40) (dual of [56, 3, 41]-code), using the narrow-sense BCH-code C(I) with length 56 | 272−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(2712, 13, F27, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,27)), 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.