Information on Result #672704

Linear OA(2162, 16419, F2, 23) (dual of [16419, 16257, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
  1. linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(27, 35, F2, 3) (dual of [35, 28, 4]-code or 35-cap in PG(6,2)), 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(2162, 16419, F2, 22) (dual of [16419, 16257, 23]-code) [i]Strength Reduction
2Linear OA(2163, 16420, F2, 23) (dual of [16420, 16257, 24]-code) [i]Code Embedding in Larger Space
3Linear OA(2164, 16421, F2, 23) (dual of [16421, 16257, 24]-code) [i]
4Linear OA(2165, 16422, F2, 23) (dual of [16422, 16257, 24]-code) [i]
5Linear OA(2161, 16418, F2, 22) (dual of [16418, 16257, 23]-code) [i]Truncation
6Linear OOA(2162, 8209, F2, 2, 23) (dual of [(8209, 2), 16256, 24]-NRT-code) [i]OOA Folding
7Linear OOA(2162, 5473, F2, 3, 23) (dual of [(5473, 3), 16257, 24]-NRT-code) [i]