Information on Result #677734

Linear OA(354, 92, F3, 22) (dual of [92, 38, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. linear OA(349, 81, F3, 22) (dual of [81, 32, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(343, 81, F3, 17) (dual of [81, 38, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(35, 11, F3, 4) (dual of [11, 6, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(355, 93, F3, 22) (dual of [93, 38, 23]-code) [i]Code Embedding in Larger Space
2Linear OOA(354, 46, F3, 2, 22) (dual of [(46, 2), 38, 23]-NRT-code) [i]OOA Folding