Information on Result #619024

Linear OA(6453, 76, F64, 43) (dual of [76, 23, 44]-code), using construction X applied to C([0,21]) ⊂ C([1,21]) based on
  1. linear OA(6443, 65, F64, 43) (dual of [65, 22, 44]-code or 65-arc in PG(42,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(6442, 65, F64, 32) (dual of [65, 23, 33]-code), using the narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [1,21], and minimum distance d ≥ |{11,12,…,21}| + |{−32,−10,12,…,0}∖{21,20,19,18,17,16,15,14,13,12}| = 33 (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.