Information on Result #689782

Linear OA(9112, 6588, F9, 30) (dual of [6588, 6476, 31]-code), using construction X applied to Ce(29) ⊂ Ce(23) based on
  1. linear OA(9105, 6561, F9, 30) (dual of [6561, 6456, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(985, 6561, F9, 24) (dual of [6561, 6476, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(97, 27, F9, 5) (dual of [27, 20, 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(9112, 3294, F9, 2, 30) (dual of [(3294, 2), 6476, 31]-NRT-code) [i]OOA Folding
2Linear OOA(9112, 2196, F9, 3, 30) (dual of [(2196, 3), 6476, 31]-NRT-code) [i]