Information on Result #670392

Linear OA(8152, 6890, F81, 19) (dual of [6890, 6838, 20]-code), using (u, u+v)-construction based on
  1. linear OA(8115, 328, F81, 9) (dual of [328, 313, 10]-code), using
    • the BCH-code C(I) with length 328 | 812−1, defining interval I = {1,52,103,…,81}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(8152, 3445, F81, 2, 19) (dual of [(3445, 2), 6838, 20]-NRT-code) [i]OOA Folding