Information on Result #616450

Linear OA(1641, 48, F16, 29) (dual of [48, 7, 30]-code), using construction X applied to C([0,26]) ⊂ C([1,26]) based on
  1. linear OA(1639, 45, F16, 29) (dual of [45, 6, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 45 | 163−1, defining interval I = [0,26], and minimum distance d ≥ |{−2,−1,…,26}|+1 = 30 (BCH-bound) [i]
  2. linear OA(1638, 45, F16, 26) (dual of [45, 7, 27]-code), using the narrow-sense BCH-code C(I) with length 45 | 163−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), 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.