Information on Result #610849

Linear OA(217, 132, F2, 5) (dual of [132, 115, 6]-code), using construction X applied to C([0,2]) ⊂ C([1,2]) based on
  1. linear OA(215, 129, F2, 5) (dual of [129, 114, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
  2. linear OA(214, 129, F2, 2) (dual of [129, 115, 3]-code), using the narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
  3. linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), 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.