Information on Result #615889

Linear OA(9114, 748, F9, 37) (dual of [748, 634, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
  1. linear OA(997, 730, F9, 37) (dual of [730, 633, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(996, 730, F9, 19) (dual of [730, 634, 20]-code), using the narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [1,18], and minimum distance d ≥ |{1,2,…,18}| + |{−19,0}| = 20 (simple Roos-bound) [i]
  3. linear OA(917, 18, F9, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,9)), 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.