Information on Result #618897

Linear OA(6439, 76, F64, 29) (dual of [76, 37, 30]-code), using construction X applied to C([0,14]) ⊂ C([1,14]) based on
  1. linear OA(6429, 65, F64, 29) (dual of [65, 36, 30]-code or 65-arc in PG(28,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  2. linear OA(6428, 65, F64, 18) (dual of [65, 37, 19]-code), using the narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [1,14], and minimum distance d ≥ |{1,2,…,10}| + |{−12,4,20,…,0}∖{−16,−32,17,−31,18,−30,19,−29,20}| = 19 (general Roos-bound) [i]
  3. linear OA(6410, 11, F64, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,64)), 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.