Information on Result #737085

Linear OA(3199, 2238, F3, 40) (dual of [2238, 2039, 41]-code), using construction X applied to Ce(39) ⊂ Ce(31) based on
  1. 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]
  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(316, 51, F3, 7) (dual of [51, 35, 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 OA(3201, 2240, F3, 40) (dual of [2240, 2039, 41]-code) [i]Code Embedding in Larger Space
2Linear OA(3202, 2241, F3, 40) (dual of [2241, 2039, 41]-code) [i]
3Linear OA(3203, 2242, F3, 40) (dual of [2242, 2039, 41]-code) [i]
4Linear OA(3198, 2237, F3, 39) (dual of [2237, 2039, 40]-code) [i]Truncation
5Linear OA(3200, 2240, F3, 40) (dual of [2240, 2040, 41]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(3201, 2242, F3, 40) (dual of [2242, 2041, 41]-code) [i]
7Linear OOA(3199, 1119, F3, 2, 40) (dual of [(1119, 2), 2039, 41]-NRT-code) [i]OOA Folding
8Linear OOA(3199, 746, F3, 3, 40) (dual of [(746, 3), 2039, 41]-NRT-code) [i]
9Linear OOA(3199, 559, F3, 4, 40) (dual of [(559, 4), 2037, 41]-NRT-code) [i]
10Linear OOA(3199, 447, F3, 5, 40) (dual of [(447, 5), 2036, 41]-NRT-code) [i]