Information on Result #673575

Linear OA(2246, 272, F2, 103) (dual of [272, 26, 104]-code), using construction X applied to Ce(110) ⊂ Ce(94) based on
  1. linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
  2. linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
  3. linear OA(211, 16, F2, 7) (dual of [16, 5, 8]-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 OA(2245, 271, F2, 102) (dual of [271, 26, 103]-code) [i]Truncation
2Linear OOA(2246, 136, F2, 2, 103) (dual of [(136, 2), 26, 104]-NRT-code) [i]OOA Folding