Information on Result #678618

Linear OA(4185, 65544, F4, 31) (dual of [65544, 65359, 32]-code), using construction X applied to Ce(30) ⊂ Ce(29) based on
  1. linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-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(4185, 32772, F4, 2, 31) (dual of [(32772, 2), 65359, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4185, 21848, F4, 3, 31) (dual of [(21848, 3), 65359, 32]-NRT-code) [i]