Information on Result #737091

Linear OA(3175, 2229, F3, 35) (dual of [2229, 2054, 36]-code), using construction X applied to Ce(34) ⊂ Ce(27) based on
  1. linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(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(3175, 743, F3, 3, 35) (dual of [(743, 3), 2054, 36]-NRT-code) [i]OOA Folding
2Linear OOA(3175, 557, F3, 4, 35) (dual of [(557, 4), 2053, 36]-NRT-code) [i]