Information on Result #611435

Linear OA(2239, 536, F2, 49) (dual of [536, 297, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
  1. linear OA(2217, 513, F2, 49) (dual of [513, 296, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(2216, 513, F2, 26) (dual of [513, 297, 27]-code), using the narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [1,24], and minimum distance d ≥ |{1,2,…,24}| + |{0,244,488}| = 27 (simple Roos-bound) [i]
  3. linear OA(222, 23, F2, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,2)), 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.