Information on Result #700448

Linear OA(25638, 65559, F256, 16) (dual of [65559, 65521, 17]-code), using construction X applied to Ce(15) ⊂ Ce(7) based on
  1. linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), 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(12844, 65559, S128, 16) [i]Discarding Parts of the Base for OAs
2Linear OOA(25638, 54891, F256, 2, 16) (dual of [(54891, 2), 109744, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(25638, 54891, F256, 3, 16) (dual of [(54891, 3), 164635, 17]-NRT-code) [i]
4Linear OOA(25638, 54891, F256, 4, 16) (dual of [(54891, 4), 219526, 17]-NRT-code) [i]
5Linear OOA(25638, 54891, F256, 5, 16) (dual of [(54891, 5), 274417, 17]-NRT-code) [i]
6Linear OOA(25638, 54891, F256, 6, 16) (dual of [(54891, 6), 329308, 17]-NRT-code) [i]
7Digital (22, 38, 54891)-net over F256 [i]
8Linear OOA(25638, 32779, F256, 2, 16) (dual of [(32779, 2), 65520, 17]-NRT-code) [i]OOA Folding
9Linear OOA(25638, 21853, F256, 3, 16) (dual of [(21853, 3), 65521, 17]-NRT-code) [i]