Information on Result #736929

Linear OA(3164, 19722, F3, 26) (dual of [19722, 19558, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
  1. linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-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(3164, 9861, F3, 2, 26) (dual of [(9861, 2), 19558, 27]-NRT-code) [i]OOA Folding
2Linear OOA(3164, 6574, F3, 3, 26) (dual of [(6574, 3), 19558, 27]-NRT-code) [i]
3Linear OOA(3164, 3944, F3, 5, 26) (dual of [(3944, 5), 19556, 27]-NRT-code) [i]
4Linear OOA(3164, 1517, F3, 26, 26) (dual of [(1517, 26), 39278, 27]-NRT-code) [i]OA Folding and Stacking