Information on Result #611145

Linear OA(299, 522, F2, 21) (dual of [522, 423, 22]-code), using construction X applied to C([0,10]) ⊂ C([1,10]) based on
  1. linear OA(291, 513, F2, 21) (dual of [513, 422, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(290, 513, F2, 12) (dual of [513, 423, 13]-code), using the narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [1,10], and minimum distance d ≥ |{1,2,…,10}| + |{0,251,502}| = 13 (simple Roos-bound) [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.

Other Results with Identical Parameters

None.

Depending Results

None.