Information on Result #672956

Linear OA(246, 2060, F2, 9) (dual of [2060, 2014, 10]-code), using construction X applied to Ce(8) ⊂ Ce(6) based on
  1. linear OA(245, 2048, F2, 9) (dual of [2048, 2003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(234, 2048, F2, 7) (dual of [2048, 2014, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(21, 12, F2, 1) (dual of [12, 11, 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(246, 1030, F2, 2, 9) (dual of [(1030, 2), 2014, 10]-NRT-code) [i]OOA Folding
2Linear OOA(246, 515, F2, 4, 9) (dual of [(515, 4), 2014, 10]-NRT-code) [i]