Information on Result #736927

Linear OA(3173, 19722, F3, 28) (dual of [19722, 19549, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
  1. linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(3173, 9861, F3, 2, 28) (dual of [(9861, 2), 19549, 29]-NRT-code) [i]OOA Folding
2Linear OOA(3173, 6574, F3, 3, 28) (dual of [(6574, 3), 19549, 29]-NRT-code) [i]
3Linear OOA(3173, 4930, F3, 4, 28) (dual of [(4930, 4), 19547, 29]-NRT-code) [i]
4Linear OOA(3173, 3944, F3, 5, 28) (dual of [(3944, 5), 19547, 29]-NRT-code) [i]