Information on Result #673568

Linear OA(2254, 280, F2, 107) (dual of [280, 26, 108]-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(219, 24, F2, 11) (dual of [24, 5, 12]-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(2253, 279, F2, 106) (dual of [279, 26, 107]-code) [i]Truncation
2Linear OOA(2254, 140, F2, 2, 107) (dual of [(140, 2), 26, 108]-NRT-code) [i]OOA Folding
3Linear OOA(2254, 56, F2, 5, 107) (dual of [(56, 5), 26, 108]-NRT-code) [i]