Information on Result #616177

Linear OA(9149, 162, F9, 105) (dual of [162, 13, 106]-code), using construction X applied to C([0,103]) ⊂ C([1,103]) based on
  1. linear OA(9148, 160, F9, 105) (dual of [160, 12, 106]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,103], and minimum distance d ≥ |{−1,0,…,103}|+1 = 106 (BCH-bound) [i]
  2. linear OA(9147, 160, F9, 103) (dual of [160, 13, 104]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,103], and designed minimum distance d ≥ |I|+1 = 104 [i]
  3. linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-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(9149, 81, F9, 2, 105) (dual of [(81, 2), 13, 106]-NRT-code) [i]OOA Folding
2Linear OOA(9149, 54, F9, 3, 105) (dual of [(54, 3), 13, 106]-NRT-code) [i]