Information on Result #616609

Linear OA(16112, 281, F16, 49) (dual of [281, 169, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
  1. linear OA(1689, 257, F16, 49) (dual of [257, 168, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(1688, 257, F16, 25) (dual of [257, 169, 26]-code), using the narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [1,24], and minimum distance d ≥ |{1,2,…,24}| + |{−25,0}| = 26 (simple Roos-bound) [i]
  3. linear OA(1623, 24, F16, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,16)), 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.