Information on Result #736933

Linear OA(3137, 19722, F3, 22) (dual of [19722, 19585, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
  1. 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]
  2. linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3137, 9861, F3, 2, 22) (dual of [(9861, 2), 19585, 23]-NRT-code) [i]OOA Folding
2Linear OOA(3137, 6574, F3, 3, 22) (dual of [(6574, 3), 19585, 23]-NRT-code) [i]
3Linear OOA(3137, 4930, F3, 4, 22) (dual of [(4930, 4), 19583, 23]-NRT-code) [i]
4Linear OOA(3137, 3944, F3, 5, 22) (dual of [(3944, 5), 19583, 23]-NRT-code) [i]