Information on Result #611501

Linear OA(2243, 292, F2, 73) (dual of [292, 49, 74]-code), using construction X applied to C([0,36]) ⊂ C([1,36]) based on
  1. linear OA(2209, 257, F2, 73) (dual of [257, 48, 74]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,36], and minimum distance d ≥ |{−36,−35,…,36}|+1 = 74 (BCH-bound) [i]
  2. linear OA(2208, 257, F2, 38) (dual of [257, 49, 39]-code), using the narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [1,36], and minimum distance d ≥ |{1,2,…,36}| + |{0,110,220}| = 39 (simple Roos-bound) [i]
  3. linear OA(234, 35, F2, 34) (dual of [35, 1, 35]-code or 35-arc in PG(33,2)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.