Information on Result #737054

Linear OA(3221, 2225, F3, 46) (dual of [2225, 2004, 47]-code), using construction X applied to Ce(45) ⊂ Ce(39) based on
  1. linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-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(3223, 2227, F3, 46) (dual of [2227, 2004, 47]-code) [i]Code Embedding in Larger Space
2Linear OA(3224, 2228, F3, 46) (dual of [2228, 2004, 47]-code) [i]
3Linear OA(3225, 2229, F3, 46) (dual of [2229, 2004, 47]-code) [i]
4Linear OA(3220, 2224, F3, 45) (dual of [2224, 2004, 46]-code) [i]Truncation
5Linear OA(3223, 2228, F3, 46) (dual of [2228, 2005, 47]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(3224, 2230, F3, 46) (dual of [2230, 2006, 47]-code) [i]
7Linear OA(3225, 2232, F3, 46) (dual of [2232, 2007, 47]-code) [i]
8Linear OA(3226, 2234, F3, 46) (dual of [2234, 2008, 47]-code) [i]
9Linear OOA(3221, 1112, F3, 2, 46) (dual of [(1112, 2), 2003, 47]-NRT-code) [i]OOA Folding
10Linear OOA(3221, 556, F3, 4, 46) (dual of [(556, 4), 2003, 47]-NRT-code) [i]
11Linear OOA(3221, 445, F3, 5, 46) (dual of [(445, 5), 2004, 47]-NRT-code) [i]