Information on Result #675901

Linear OA(3128, 2195, F3, 28) (dual of [2195, 2067, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) 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(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3127, 2194, F3, 27) (dual of [2194, 2067, 28]-code) [i]Truncation
2Linear OOA(3128, 1106, F3, 2, 28) (dual of [(1106, 2), 2084, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3128, 1106, F3, 3, 28) (dual of [(1106, 3), 3190, 29]-NRT-code) [i]
4Linear OOA(3128, 1106, F3, 4, 28) (dual of [(1106, 4), 4296, 29]-NRT-code) [i]
5Linear OOA(3128, 1106, F3, 5, 28) (dual of [(1106, 5), 5402, 29]-NRT-code) [i]
6Digital (100, 128, 1106)-net over F3 [i]
7Linear OOA(3128, 1097, F3, 2, 28) (dual of [(1097, 2), 2066, 29]-NRT-code) [i]OOA Folding
8Linear OOA(3128, 731, F3, 3, 28) (dual of [(731, 3), 2065, 29]-NRT-code) [i]
9Linear OOA(3128, 548, F3, 4, 28) (dual of [(548, 4), 2064, 29]-NRT-code) [i]
10Linear OOA(3128, 439, F3, 5, 28) (dual of [(439, 5), 2067, 29]-NRT-code) [i]