Information on Result #675896

Linear OA(3156, 2195, F3, 34) (dual of [2195, 2039, 35]-code), using construction X applied to Ce(33) ⊂ Ce(31) based on
  1. linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-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 OA(3155, 2194, F3, 33) (dual of [2194, 2039, 34]-code) [i]Truncation
2Linear OOA(3156, 1280, F3, 2, 34) (dual of [(1280, 2), 2404, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3156, 1280, F3, 3, 34) (dual of [(1280, 3), 3684, 35]-NRT-code) [i]
4Linear OOA(3156, 1280, F3, 4, 34) (dual of [(1280, 4), 4964, 35]-NRT-code) [i]
5Linear OOA(3156, 1280, F3, 5, 34) (dual of [(1280, 5), 6244, 35]-NRT-code) [i]
6Digital (122, 156, 1280)-net over F3 [i]
7Linear OOA(3156, 1097, F3, 2, 34) (dual of [(1097, 2), 2038, 35]-NRT-code) [i]OOA Folding
8Linear OOA(3156, 731, F3, 3, 34) (dual of [(731, 3), 2037, 35]-NRT-code) [i]
9Linear OOA(3156, 548, F3, 4, 34) (dual of [(548, 4), 2036, 35]-NRT-code) [i]
10Linear OOA(3156, 439, F3, 5, 34) (dual of [(439, 5), 2039, 35]-NRT-code) [i]