Information on Result #737143

Linear OA(4243, 4194370, F4, 28) (dual of [4194370, 4194127, 29]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(411, 66, F4, 5) (dual of [66, 55, 6]-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(4243, 2097185, F4, 2, 28) (dual of [(2097185, 2), 4194127, 29]-NRT-code) [i]OOA Folding
2Linear OOA(4243, 1398123, F4, 3, 28) (dual of [(1398123, 3), 4194126, 29]-NRT-code) [i]