Information on Result #690014

Linear OA(9119, 771, F9, 38) (dual of [771, 652, 39]-code), using construction X applied to C([0,19]) ⊂ C([0,13]) based on
  1. linear OA(9103, 730, F9, 39) (dual of [730, 627, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  2. linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(916, 41, F9, 10) (dual of [41, 25, 11]-code), using
    • an extension Ce(9) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]

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.