Information on Result #737093

Linear OA(3170, 2231, F3, 34) (dual of [2231, 2061, 35]-code), using construction X applied to Ce(33) ⊂ Ce(25) 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(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(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(3170, 2087, F3, 2, 34) (dual of [(2087, 2), 4004, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3170, 2087, F3, 3, 34) (dual of [(2087, 3), 6091, 35]-NRT-code) [i]
3Linear OOA(3170, 2087, F3, 4, 34) (dual of [(2087, 4), 8178, 35]-NRT-code) [i]
4Linear OOA(3170, 2087, F3, 5, 34) (dual of [(2087, 5), 10265, 35]-NRT-code) [i]
5Digital (136, 170, 2087)-net over F3 [i]