Information on Result #675240

Linear OA(3188, 19744, F3, 29) (dual of [19744, 19556, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(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(3188, 10987, F3, 2, 29) (dual of [(10987, 2), 21786, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3188, 10987, F3, 3, 29) (dual of [(10987, 3), 32773, 30]-NRT-code) [i]
3Linear OOA(3188, 10987, F3, 4, 29) (dual of [(10987, 4), 43760, 30]-NRT-code) [i]
4Linear OOA(3188, 10987, F3, 5, 29) (dual of [(10987, 5), 54747, 30]-NRT-code) [i]
5Digital (159, 188, 10987)-net over F3 [i]
6Linear OOA(3188, 9872, F3, 2, 29) (dual of [(9872, 2), 19556, 30]-NRT-code) [i]OOA Folding
7Linear OOA(3188, 4936, F3, 4, 29) (dual of [(4936, 4), 19556, 30]-NRT-code) [i]