Information on Result #670424

Linear OA(8147, 6889, F81, 17) (dual of [6889, 6842, 18]-code), using (u, u+v)-construction based on
  1. linear OA(8114, 327, F81, 8) (dual of [327, 313, 9]-code), using
    • 1 times truncation [i] based on 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(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(8147, 2296, F81, 3, 17) (dual of [(2296, 3), 6841, 18]-NRT-code) [i]OOA Folding