Information on Result #611400

Linear OA(2163, 276, F2, 41) (dual of [276, 113, 42]-code), using construction X applied to C([0,20]) ⊂ C([1,20]) based on
  1. linear OA(2145, 257, F2, 41) (dual of [257, 112, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  2. linear OA(2144, 257, F2, 22) (dual of [257, 113, 23]-code), using the narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [1,20], and minimum distance d ≥ |{1,2,…,20}| + |{0,118,236}| = 23 (simple Roos-bound) [i]
  3. linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), 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.