Information on Result #687157

Linear OA(8161, 4100, F8, 46) (dual of [4100, 3939, 47]-code), using construction X applied to Ce(45) ⊂ Ce(44) based on
  1. linear OA(8161, 4096, F8, 46) (dual of [4096, 3935, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(8157, 4096, F8, 45) (dual of [4096, 3939, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using

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(8161, 2050, F8, 2, 46) (dual of [(2050, 2), 3939, 47]-NRT-code) [i]OOA Folding
2Linear OOA(8161, 1366, F8, 3, 46) (dual of [(1366, 3), 3937, 47]-NRT-code) [i]