Information on Result #738138

Linear OA(3173, 180, F3, 112) (dual of [180, 7, 113]-code), using juxtaposition based on
  1. linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using
    • the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(393, 100, F3, 62) (dual of [100, 7, 63]-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 OOA(3173, 90, F3, 2, 112) (dual of [(90, 2), 7, 113]-NRT-code) [i]OOA Folding
2Linear OOA(3173, 60, F3, 3, 112) (dual of [(60, 3), 7, 113]-NRT-code) [i]
3Linear OOA(3173, 36, F3, 5, 112) (dual of [(36, 5), 7, 113]-NRT-code) [i]