Information on Result #676116

Linear OA(3246, 2250, F3, 49) (dual of [2250, 2004, 50]-code), using construction X applied to Ce(48) ⊂ Ce(39) based on
  1. linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [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(321, 63, F3, 8) (dual of [63, 42, 9]-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(3247, 2251, F3, 49) (dual of [2251, 2004, 50]-code) [i]Code Embedding in Larger Space
2Linear OA(3248, 2252, F3, 49) (dual of [2252, 2004, 50]-code) [i]
3Linear OA(3245, 2249, F3, 48) (dual of [2249, 2004, 49]-code) [i]Truncation
4Linear OOA(3246, 1125, F3, 2, 49) (dual of [(1125, 2), 2004, 50]-NRT-code) [i]OOA Folding
5Linear OOA(3246, 750, F3, 3, 49) (dual of [(750, 3), 2004, 50]-NRT-code) [i]
6Linear OOA(3246, 562, F3, 4, 49) (dual of [(562, 4), 2002, 50]-NRT-code) [i]
7Linear OOA(3246, 450, F3, 5, 49) (dual of [(450, 5), 2004, 50]-NRT-code) [i]