Information on Result #677237

Linear OA(3124, 256, F3, 41) (dual of [256, 132, 42]-code), using construction X applied to Ce(40) ⊂ Ce(37) based on
  1. linear OA(3121, 243, F3, 41) (dual of [243, 122, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(3124, 128, F3, 2, 41) (dual of [(128, 2), 132, 42]-NRT-code) [i]OOA Folding