Information on Result #675242

Linear OA(3170, 19744, F3, 26) (dual of [19744, 19574, 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(316, 61, F3, 6) (dual of [61, 45, 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(3170, 11199, F3, 2, 26) (dual of [(11199, 2), 22228, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3170, 11199, F3, 3, 26) (dual of [(11199, 3), 33427, 27]-NRT-code) [i]
3Linear OOA(3170, 11199, F3, 4, 26) (dual of [(11199, 4), 44626, 27]-NRT-code) [i]
4Linear OOA(3170, 11199, F3, 5, 26) (dual of [(11199, 5), 55825, 27]-NRT-code) [i]
5Digital (144, 170, 11199)-net over F3 [i]
6Linear OOA(3170, 9872, F3, 2, 26) (dual of [(9872, 2), 19574, 27]-NRT-code) [i]OOA Folding
7Linear OOA(3170, 4936, F3, 4, 26) (dual of [(4936, 4), 19574, 27]-NRT-code) [i]