Information on Result #738137

Linear OA(3184, 191, F3, 120) (dual of [191, 7, 121]-code), using juxtaposition based on
  1. linear OA(372, 79, F3, 48) (dual of [79, 7, 49]-code), using
    • 2 times truncation [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
      • an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(3105, 112, F3, 71) (dual of [112, 7, 72]-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(3184, 191, F3, 119) (dual of [191, 7, 120]-code) [i]Strength Reduction
2Linear OOA(3184, 38, F3, 5, 120) (dual of [(38, 5), 6, 121]-NRT-code) [i]OOA Folding