Information on Result #614643

Linear OA(783, 97, F7, 39) (dual of [97, 14, 40]-code), using construction X applied to C([0,19]) ⊂ C([1,19]) based on
  1. linear OA(773, 86, F7, 39) (dual of [86, 13, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  2. linear OA(772, 86, F7, 28) (dual of [86, 14, 29]-code), using the narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [1,19], and minimum distance d ≥ |{−24,−19,−14,…,1}| + |{0,1,…,27}∖{4,9,14,19,24}| = 29 (general Roos-bound) [i]
  3. linear OA(710, 11, F7, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,7)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.