Information on Result #673077

Linear OA(252, 1035, F2, 11) (dual of [1035, 983, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
  1. linear OA(251, 1024, F2, 11) (dual of [1024, 973, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(241, 1024, F2, 9) (dual of [1024, 983, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-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(252, 345, F2, 3, 11) (dual of [(345, 3), 983, 12]-NRT-code) [i]OOA Folding
2Linear OOA(252, 207, F2, 5, 11) (dual of [(207, 5), 983, 12]-NRT-code) [i]