Information on Result #689131

Linear OA(9109, 531483, F9, 19) (dual of [531483, 531374, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,5]) based on
  1. linear OA(997, 531442, F9, 19) (dual of [531442, 531345, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(961, 531442, F9, 11) (dual of [531442, 531381, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  3. linear OA(912, 41, F9, 7) (dual of [41, 29, 8]-code), using
    • an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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.