Information on Result #619135

Linear OA(6463, 72, F64, 57) (dual of [72, 9, 58]-code), using construction X applied to C([0,28]) ⊂ C([1,28]) based on
  1. linear OA(6457, 65, F64, 57) (dual of [65, 8, 58]-code or 65-arc in PG(56,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
  2. linear OA(6456, 65, F64, 50) (dual of [65, 9, 51]-code), using the narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [1,28], and minimum distance d ≥ |{−4,28,60,…,4}|+1 = 51 (BCH-bound) [i]
  3. linear OA(646, 7, F64, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,64)), 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.