Information on Result #700447

Linear OA(25642, 65559, F256, 18) (dual of [65559, 65517, 19]-code), using construction X applied to Ce(17) ⊂ Ce(9) based on
  1. linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(12848, 65559, S128, 18) [i]Discarding Parts of the Base for OAs
2Linear OOA(25642, 39540, F256, 2, 18) (dual of [(39540, 2), 79038, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(25642, 39540, F256, 3, 18) (dual of [(39540, 3), 118578, 19]-NRT-code) [i]
4Linear OOA(25642, 39540, F256, 4, 18) (dual of [(39540, 4), 158118, 19]-NRT-code) [i]
5Linear OOA(25642, 39540, F256, 5, 18) (dual of [(39540, 5), 197658, 19]-NRT-code) [i]
6Linear OOA(25642, 39540, F256, 6, 18) (dual of [(39540, 6), 237198, 19]-NRT-code) [i]
7Digital (24, 42, 39540)-net over F256 [i]
8Linear OOA(25642, 32779, F256, 2, 18) (dual of [(32779, 2), 65516, 19]-NRT-code) [i]OOA Folding
9Linear OOA(25642, 21853, F256, 3, 18) (dual of [(21853, 3), 65517, 19]-NRT-code) [i]