Information on Result #611382

Linear OA(2120, 142, F2, 39) (dual of [142, 22, 40]-code), using construction X applied to C([0,30]) ⊂ C([1,30]) based on
  1. linear OA(2112, 133, F2, 39) (dual of [133, 21, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 133 | 218−1, defining interval I = [0,30], and minimum distance d ≥ |{−8,−7,…,30}|+1 = 40 (BCH-bound) [i]
  2. linear OA(2111, 133, F2, 30) (dual of [133, 22, 31]-code), using the narrow-sense BCH-code C(I) with length 133 | 218−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), 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.