Information on Result #737102

Linear OA(3142, 2231, F3, 28) (dual of [2231, 2089, 29]-code), using construction X applied to Ce(27) ⊂ Ce(19) based on
  1. linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(315, 44, F3, 7) (dual of [44, 29, 8]-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(3142, 2016, F3, 2, 28) (dual of [(2016, 2), 3890, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3142, 2016, F3, 3, 28) (dual of [(2016, 3), 5906, 29]-NRT-code) [i]
3Linear OOA(3142, 2016, F3, 4, 28) (dual of [(2016, 4), 7922, 29]-NRT-code) [i]
4Linear OOA(3142, 2016, F3, 5, 28) (dual of [(2016, 5), 9938, 29]-NRT-code) [i]
5Digital (114, 142, 2016)-net over F3 [i]