Information on Result #692545

Linear OA(16123, 274, F16, 68) (dual of [274, 151, 69]-code), using construction X applied to C([0,34]) ⊂ C([0,28]) based on
  1. linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
  2. linear OA(16105, 257, F16, 57) (dual of [257, 152, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
  3. linear OA(1610, 17, F16, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,16)), 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.