Information on Result #613996

Linear OA(571, 80, F5, 37) (dual of [80, 9, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
  1. linear OA(555, 63, F5, 37) (dual of [63, 8, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 63 | 56−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(554, 63, F5, 20) (dual of [63, 9, 21]-code), using the narrow-sense BCH-code C(I) with length 63 | 56−1, defining interval I = [1,18], and minimum distance d ≥ |{−26,−10,6,…,26}|+1 = 21 (BCH-bound) [i]
  3. linear OA(516, 17, F5, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,5)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.