Information on Result #736812

Linear OA(2195, 280, F2, 59) (dual of [280, 85, 60]-code), using construction X applied to Ce(58) ⊂ Ce(52) based on
  1. linear OA(2185, 256, F2, 59) (dual of [256, 71, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
  2. linear OA(2169, 256, F2, 53) (dual of [256, 87, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  3. linear OA(210, 24, F2, 5) (dual of [24, 14, 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 OA(2194, 279, F2, 58) (dual of [279, 85, 59]-code) [i]Truncation
2Linear OOA(2195, 140, F2, 2, 59) (dual of [(140, 2), 85, 60]-NRT-code) [i]OOA Folding
3Linear OOA(2195, 93, F2, 3, 59) (dual of [(93, 3), 84, 60]-NRT-code) [i]