Information on Result #700343

Linear OA(25628, 65541, F256, 14) (dual of [65541, 65513, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
  1. linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-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(1656, 131082, F16, 14) (dual of [131082, 131026, 15]-code) [i]Trace Code
2OA(3245, 65541, S32, 14) [i]Discarding Parts of the Base for OAs
3OA(6438, 65541, S64, 14) [i]
4OA(12832, 65541, S128, 14) [i]
5Linear OA(25636, 65801, F256, 14) (dual of [65801, 65765, 15]-code) [i](u, u+v)-Construction
6Linear OOA(25628, 32770, F256, 2, 14) (dual of [(32770, 2), 65512, 15]-NRT-code) [i]OOA Folding
7Linear OOA(25628, 21847, F256, 3, 14) (dual of [(21847, 3), 65513, 15]-NRT-code) [i]
8Linear OOA(25628, 16385, F256, 4, 14) (dual of [(16385, 4), 65512, 15]-NRT-code) [i]
9Linear OOA(25628, 13108, F256, 5, 14) (dual of [(13108, 5), 65512, 15]-NRT-code) [i]
10Linear OOA(25628, 9363, F256, 14, 14) (dual of [(9363, 14), 131054, 15]-NRT-code) [i]OA Folding and Stacking