Information on Result #737852

Linear OA(874, 4116, F8, 20) (dual of [4116, 4042, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
  1. linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(85, 20, F8, 4) (dual of [20, 15, 5]-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(874, 2058, F8, 2, 20) (dual of [(2058, 2), 4042, 21]-NRT-code) [i]OOA Folding
2Linear OOA(874, 1372, F8, 3, 20) (dual of [(1372, 3), 4042, 21]-NRT-code) [i]