Information on Result #672785

Linear OA(2222, 8244, F2, 33) (dual of [8244, 8022, 34]-code), using construction X applied to Ce(32) ⊂ Ce(26) based on
  1. linear OA(2209, 8192, F2, 33) (dual of [8192, 7983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(213, 52, F2, 5) (dual of [52, 39, 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(2222, 8244, F2, 32) (dual of [8244, 8022, 33]-code) [i]Strength Reduction
2Linear OA(2223, 8245, F2, 33) (dual of [8245, 8022, 34]-code) [i]Code Embedding in Larger Space
3Linear OA(2224, 8246, F2, 33) (dual of [8246, 8022, 34]-code) [i]
4Linear OA(2221, 8243, F2, 32) (dual of [8243, 8022, 33]-code) [i]Truncation
5Linear OOA(2222, 4122, F2, 2, 33) (dual of [(4122, 2), 8022, 34]-NRT-code) [i]OOA Folding
6Linear OOA(2222, 2748, F2, 3, 33) (dual of [(2748, 3), 8022, 34]-NRT-code) [i]
7Linear OOA(2222, 2061, F2, 4, 33) (dual of [(2061, 4), 8022, 34]-NRT-code) [i]
8Linear OOA(2222, 1374, F2, 6, 33) (dual of [(1374, 6), 8022, 34]-NRT-code) [i]