Information on Result #672701

Linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
  1. linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. 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]
  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(2188, 16415, F2, 26) (dual of [16415, 16227, 27]-code) [i]Truncation
2Linear OOA(2189, 8208, F2, 2, 27) (dual of [(8208, 2), 16227, 28]-NRT-code) [i]OOA Folding
3Linear OOA(2189, 5472, F2, 3, 27) (dual of [(5472, 3), 16227, 28]-NRT-code) [i]
4Linear OOA(2189, 4104, F2, 4, 27) (dual of [(4104, 4), 16227, 28]-NRT-code) [i]
5Linear OOA(2189, 3283, F2, 5, 27) (dual of [(3283, 5), 16226, 28]-NRT-code) [i]
6Linear OOA(2189, 2736, F2, 6, 27) (dual of [(2736, 6), 16227, 28]-NRT-code) [i]
7Linear OOA(2189, 2345, F2, 7, 27) (dual of [(2345, 7), 16226, 28]-NRT-code) [i]
8Linear OOA(2189, 2052, F2, 8, 27) (dual of [(2052, 8), 16227, 28]-NRT-code) [i]
9Linear OOA(2189, 1262, F2, 27, 27) (dual of [(1262, 27), 33885, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row