Information on Result #737105

Linear OA(3133, 2229, F3, 26) (dual of [2229, 2096, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(385, 2187, F3, 19) (dual of [2187, 2102, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(313, 42, F3, 6) (dual of [42, 29, 7]-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(3133, 743, F3, 3, 26) (dual of [(743, 3), 2096, 27]-NRT-code) [i]OOA Folding
2Linear OOA(3133, 557, F3, 4, 26) (dual of [(557, 4), 2095, 27]-NRT-code) [i]