Information on Result #611075

Linear OA(271, 264, F2, 17) (dual of [264, 193, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
  1. linear OA(265, 257, F2, 17) (dual of [257, 192, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(264, 257, F2, 10) (dual of [257, 193, 11]-code), using the narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [1,8], and minimum distance d ≥ |{1,2,…,8}| + |{0,124,248}| = 11 (simple Roos-bound) [i]
  3. linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), 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.