Information on Result #738135

Linear OA(3176, 183, F3, 114) (dual of [183, 7, 115]-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(397, 104, F3, 65) (dual of [104, 7, 66]-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(3176, 183, F3, 113) (dual of [183, 7, 114]-code) [i]Strength Reduction
2Linear OA(3176, 183, F3, 112) (dual of [183, 7, 113]-code) [i]
3Linear OA(3176, 183, F3, 111) (dual of [183, 7, 112]-code) [i]
4Linear OOA(3176, 61, F3, 3, 114) (dual of [(61, 3), 7, 115]-NRT-code) [i]OOA Folding