Information on Result #672697

Linear OA(2245, 16416, F2, 35) (dual of [16416, 16171, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) 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(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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(2244, 16415, F2, 34) (dual of [16415, 16171, 35]-code) [i]Truncation
2Linear OOA(2245, 8208, F2, 2, 35) (dual of [(8208, 2), 16171, 36]-NRT-code) [i]OOA Folding
3Linear OOA(2245, 5472, F2, 3, 35) (dual of [(5472, 3), 16171, 36]-NRT-code) [i]
4Linear OOA(2245, 4104, F2, 4, 35) (dual of [(4104, 4), 16171, 36]-NRT-code) [i]
5Linear OOA(2245, 3283, F2, 5, 35) (dual of [(3283, 5), 16170, 36]-NRT-code) [i]
6Linear OOA(2245, 2736, F2, 6, 35) (dual of [(2736, 6), 16171, 36]-NRT-code) [i]
7Linear OOA(2245, 2345, F2, 7, 35) (dual of [(2345, 7), 16170, 36]-NRT-code) [i]
8Linear OOA(2245, 2052, F2, 8, 35) (dual of [(2052, 8), 16171, 36]-NRT-code) [i]
9Linear OOA(2245, 965, F2, 35, 35) (dual of [(965, 35), 33530, 36]-NRT-code) [i]OOA Folding and Stacking with Additional Row