Information on Result #676126

Linear OA(3190, 2250, F3, 37) (dual of [2250, 2060, 38]-code), using construction X applied to Ce(36) ⊂ Ce(27) based on
  1. linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. 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]
  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(3191, 2251, F3, 37) (dual of [2251, 2060, 38]-code) [i]Code Embedding in Larger Space
2Linear OA(3192, 2252, F3, 37) (dual of [2252, 2060, 38]-code) [i]
3Linear OA(3189, 2249, F3, 36) (dual of [2249, 2060, 37]-code) [i]Truncation
4Linear OOA(3190, 1125, F3, 2, 37) (dual of [(1125, 2), 2060, 38]-NRT-code) [i]OOA Folding
5Linear OOA(3190, 750, F3, 3, 37) (dual of [(750, 3), 2060, 38]-NRT-code) [i]
6Linear OOA(3190, 562, F3, 4, 37) (dual of [(562, 4), 2058, 38]-NRT-code) [i]
7Linear OOA(3190, 450, F3, 5, 37) (dual of [(450, 5), 2060, 38]-NRT-code) [i]