Information on Result #677218

Linear OA(3228, 255, F3, 128) (dual of [255, 27, 129]-code), using construction X applied to Ce(130) ⊂ Ce(121) based on
  1. linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
  2. linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
  3. linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-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(3228, 51, F3, 5, 128) (dual of [(51, 5), 27, 129]-NRT-code) [i]OOA Folding