Information on Result #736956

Linear OA(3168, 19736, F3, 26) (dual of [19736, 19568, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) 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(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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(3168, 10217, F3, 2, 26) (dual of [(10217, 2), 20266, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3168, 10217, F3, 3, 26) (dual of [(10217, 3), 30483, 27]-NRT-code) [i]
3Linear OOA(3168, 10217, F3, 4, 26) (dual of [(10217, 4), 40700, 27]-NRT-code) [i]
4Linear OOA(3168, 10217, F3, 5, 26) (dual of [(10217, 5), 50917, 27]-NRT-code) [i]
5Digital (142, 168, 10217)-net over F3 [i]
6Linear OOA(3168, 9868, F3, 2, 26) (dual of [(9868, 2), 19568, 27]-NRT-code) [i]OOA Folding
7Linear OOA(3168, 6578, F3, 3, 26) (dual of [(6578, 3), 19566, 27]-NRT-code) [i]
8Linear OOA(3168, 4934, F3, 4, 26) (dual of [(4934, 4), 19568, 27]-NRT-code) [i]
9Linear OOA(3168, 3947, F3, 5, 26) (dual of [(3947, 5), 19567, 27]-NRT-code) [i]
10Linear OOA(3168, 1518, F3, 26, 26) (dual of [(1518, 26), 39300, 27]-NRT-code) [i]OA Folding and Stacking