Information on Result #672708

Linear OA(2252, 16439, F2, 35) (dual of [16439, 16187, 36]-code), using construction X applied to Ce(34) ⊂ Ce(28) based on
  1. linear OA(2239, 16384, F2, 35) (dual of [16384, 16145, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(2197, 16384, F2, 29) (dual of [16384, 16187, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(213, 55, F2, 5) (dual of [55, 42, 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(2252, 16439, F2, 34) (dual of [16439, 16187, 35]-code) [i]Strength Reduction
2Linear OA(2253, 16440, F2, 35) (dual of [16440, 16187, 36]-code) [i]Code Embedding in Larger Space
3Linear OA(2254, 16441, F2, 35) (dual of [16441, 16187, 36]-code) [i]
4Linear OA(2255, 16442, F2, 35) (dual of [16442, 16187, 36]-code) [i]
5Linear OA(2251, 16438, F2, 34) (dual of [16438, 16187, 35]-code) [i]Truncation
6Linear OOA(2252, 8219, F2, 2, 35) (dual of [(8219, 2), 16186, 36]-NRT-code) [i]OOA Folding
7Linear OOA(2252, 5479, F2, 3, 35) (dual of [(5479, 3), 16185, 36]-NRT-code) [i]
8Linear OOA(2252, 4109, F2, 4, 35) (dual of [(4109, 4), 16184, 36]-NRT-code) [i]
9Linear OOA(2252, 3287, F2, 5, 35) (dual of [(3287, 5), 16183, 36]-NRT-code) [i]
10Linear OOA(2252, 2739, F2, 6, 35) (dual of [(2739, 6), 16182, 36]-NRT-code) [i]
11Linear OOA(2252, 2348, F2, 7, 35) (dual of [(2348, 7), 16184, 36]-NRT-code) [i]