Information on Result #704111

Linear OA(3228, 745, F3, 59) (dual of [745, 517, 60]-code), using construction X applied to C([334,392]) ⊂ C([337,391]) based on
  1. linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,392}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  2. linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
  3. linear OA(35, 17, F3, 3) (dual of [17, 12, 4]-code or 17-cap in PG(4,3)), 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(3228, 149, F3, 5, 59) (dual of [(149, 5), 517, 60]-NRT-code) [i]OOA Folding