Information on Result #611253

Linear OA(282, 98, F2, 27) (dual of [98, 16, 28]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
  1. linear OA(276, 91, F2, 27) (dual of [91, 15, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 212−1, defining interval I = [0,18], and minimum distance d ≥ |{−8,−7,…,18}|+1 = 28 (BCH-bound) [i]
  2. linear OA(275, 91, F2, 20) (dual of [91, 16, 21]-code), using the narrow-sense BCH-code C(I) with length 91 | 212−1, defining interval I = [1,18], and minimum distance d ≥ |{−24,9}| + |{0,27,54,…,−33}∖{24}| = 21 (general Roos-bound) [i]
  3. linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), 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.