Information on Result #737248

Linear OA(4199, 16420, F4, 37) (dual of [16420, 16221, 38]-code), using construction X applied to Ce(36) ⊂ Ce(30) based on
  1. linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(49, 36, F4, 5) (dual of [36, 27, 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(4199, 8210, F4, 2, 37) (dual of [(8210, 2), 16221, 38]-NRT-code) [i]OOA Folding
2Linear OOA(4199, 5473, F4, 3, 37) (dual of [(5473, 3), 16220, 38]-NRT-code) [i]