Information on Result #663828

Linear OA(8107, 32834, F8, 21) (dual of [32834, 32727, 22]-code), using (u, u+v)-construction based on
  1. linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using
    • the BCH-code C(I) with length 65 | 84−1, defining interval I = {1,8,15,…,64}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(891, 32769, F8, 21) (dual of [32769, 32678, 22]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(8107, 3283, F8, 21, 21) (dual of [(3283, 21), 68836, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row