Information on Result #614562

Linear OA(786, 358, F7, 29) (dual of [358, 272, 30]-code), using construction X applied to C([0,14]) ⊂ C([1,14]) based on
  1. linear OA(773, 344, F7, 29) (dual of [344, 271, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  2. linear OA(772, 344, F7, 15) (dual of [344, 272, 16]-code), using the narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [1,14], and minimum distance d ≥ |{1,2,…,14}| + |{−15,0}| = 16 (simple Roos-bound) [i]
  3. linear OA(713, 14, F7, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,7)), 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.