Information on Result #677318

Linear OA(3144, 271, F3, 46) (dual of [271, 127, 47]-code), using construction X applied to Ce(46) ⊂ Ce(39) based on
  1. linear OA(3136, 243, F3, 47) (dual of [243, 107, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. 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]
  3. linear OA(38, 28, F3, 5) (dual of [28, 20, 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(3144, 90, F3, 3, 46) (dual of [(90, 3), 126, 47]-NRT-code) [i]OOA Folding