Information on Result #700465

Linear OA(25656, 65565, F256, 24) (dual of [65565, 65509, 25]-code), using construction X applied to Ce(23) ⊂ Ce(13) based on
  1. linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. 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]
  3. linear OA(2569, 29, F256, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,256)), 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
1OA(12864, 65565, S128, 24) [i]Discarding Parts of the Base for OAs
2Linear OOA(25656, 37222, F256, 2, 24) (dual of [(37222, 2), 74388, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(25656, 37222, F256, 3, 24) (dual of [(37222, 3), 111610, 25]-NRT-code) [i]
4Linear OOA(25656, 37222, F256, 4, 24) (dual of [(37222, 4), 148832, 25]-NRT-code) [i]
5Linear OOA(25656, 37222, F256, 5, 24) (dual of [(37222, 5), 186054, 25]-NRT-code) [i]
6Linear OOA(25656, 37222, F256, 6, 24) (dual of [(37222, 6), 223276, 25]-NRT-code) [i]
7Digital (32, 56, 37222)-net over F256 [i]
8Linear OOA(25656, 32782, F256, 2, 24) (dual of [(32782, 2), 65508, 25]-NRT-code) [i]OOA Folding
9Linear OOA(25656, 21855, F256, 3, 24) (dual of [(21855, 3), 65509, 25]-NRT-code) [i]
10Linear OOA(25656, 16391, F256, 4, 24) (dual of [(16391, 4), 65508, 25]-NRT-code) [i]
11Linear OOA(25656, 13113, F256, 5, 24) (dual of [(13113, 5), 65509, 25]-NRT-code) [i]