Information on Result #677239

Linear OA(3122, 257, F3, 40) (dual of [257, 135, 41]-code), using construction X applied to Ce(39) ⊂ Ce(34) based on
  1. linear OA(3116, 243, F3, 40) (dual of [243, 127, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(3106, 243, F3, 35) (dual of [243, 137, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(36, 14, F3, 4) (dual of [14, 8, 5]-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(3122, 128, F3, 2, 40) (dual of [(128, 2), 134, 41]-NRT-code) [i]OOA Folding