Information on Result #677984

Linear OA(4250, 4194347, F4, 30) (dual of [4194347, 4194097, 31]-code), using construction X applied to Ce(29) ⊂ Ce(24) based on
  1. linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 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(4250, 2097173, F4, 2, 30) (dual of [(2097173, 2), 4194096, 31]-NRT-code) [i]OOA Folding
2Linear OOA(4250, 1398115, F4, 3, 30) (dual of [(1398115, 3), 4194095, 31]-NRT-code) [i]
3Linear OOA(4250, 279623, F4, 30, 30) (dual of [(279623, 30), 8388440, 31]-NRT-code) [i]OA Folding and Stacking