Information on Result #737087

Linear OA(3189, 2229, F3, 38) (dual of [2229, 2040, 39]-code), using construction X applied to Ce(37) ⊂ Ce(30) based on
  1. linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(313, 42, F3, 6) (dual of [42, 29, 7]-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(3189, 2181, F3, 2, 38) (dual of [(2181, 2), 4173, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3189, 2181, F3, 3, 38) (dual of [(2181, 3), 6354, 39]-NRT-code) [i]
3Linear OOA(3189, 2181, F3, 4, 38) (dual of [(2181, 4), 8535, 39]-NRT-code) [i]
4Linear OOA(3189, 2181, F3, 5, 38) (dual of [(2181, 5), 10716, 39]-NRT-code) [i]
5Digital (151, 189, 2181)-net over F3 [i]
6Linear OOA(3189, 743, F3, 3, 38) (dual of [(743, 3), 2040, 39]-NRT-code) [i]OOA Folding
7Linear OOA(3189, 557, F3, 4, 38) (dual of [(557, 4), 2039, 39]-NRT-code) [i]