Information on Result #737843

Linear OA(8146, 4116, F8, 41) (dual of [4116, 3970, 42]-code), using construction X applied to Ce(40) ⊂ Ce(35) based on
  1. linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(8125, 4096, F8, 36) (dual of [4096, 3971, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(8146, 2058, F8, 2, 41) (dual of [(2058, 2), 3970, 42]-NRT-code) [i]OOA Folding
2Linear OOA(8146, 1372, F8, 3, 41) (dual of [(1372, 3), 3970, 42]-NRT-code) [i]