Information on Result #737841

Linear OA(8154, 4116, F8, 43) (dual of [4116, 3962, 44]-code), using construction X applied to Ce(42) ⊂ Ce(37) based on
  1. linear OA(8149, 4096, F8, 43) (dual of [4096, 3947, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(8133, 4096, F8, 38) (dual of [4096, 3963, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(8154, 2058, F8, 2, 43) (dual of [(2058, 2), 3962, 44]-NRT-code) [i]OOA Folding
2Linear OOA(8154, 1372, F8, 3, 43) (dual of [(1372, 3), 3962, 44]-NRT-code) [i]