Information on Result #670530

Linear OA(8132, 538003, F81, 9) (dual of [538003, 537971, 10]-code), using (u, u+v)-construction based on
  1. linear OA(817, 6561, F81, 4) (dual of [6561, 6554, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  2. linear OA(8125, 531442, F81, 9) (dual of [531442, 531417, 10]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [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.