Information on Result #614597

Linear OA(773, 99, F7, 33) (dual of [99, 26, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
  1. linear OA(761, 86, F7, 33) (dual of [86, 25, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(760, 86, F7, 20) (dual of [86, 26, 21]-code), using the narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [1,16], and minimum distance d ≥ |{1,2,…,13}| + |{21,38,55,…,0}∖{−34,35,18,−33,36,19,−32,37,20,−31,38,21}| = 21 (general Roos-bound) [i]
  3. linear OA(712, 13, F7, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,7)), 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.