Information on Result #1323450

Linear OA(2162, 556, F2, 35) (dual of [556, 394, 36]-code), using construction X applied to Ce(34) ⊂ Ce(26) based on
  1. linear OA(2145, 512, F2, 35) (dual of [512, 367, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(2118, 512, F2, 27) (dual of [512, 394, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(217, 44, F2, 7) (dual of [44, 27, 8]-code), using

Mode: 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(2161, 555, F2, 34) (dual of [555, 394, 35]-code) [i]Truncation
2Linear OOA(2162, 278, F2, 2, 35) (dual of [(278, 2), 394, 36]-NRT-code) [i]OOA Folding