Information on Result #698507

Linear OA(6449, 262159, F64, 16) (dual of [262159, 262110, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
  1. linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), 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(1674, 262159, S16, 16) [i]Discarding Parts of the Base for OAs
2OA(3259, 262159, S32, 16) [i]
3Linear OOA(6449, 149526, F64, 2, 16) (dual of [(149526, 2), 299003, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(6449, 149526, F64, 3, 16) (dual of [(149526, 3), 448529, 17]-NRT-code) [i]
5Digital (33, 49, 149526)-net over F64 [i]
6Linear OOA(6449, 131079, F64, 2, 16) (dual of [(131079, 2), 262109, 17]-NRT-code) [i]OOA Folding
7Linear OOA(6449, 87386, F64, 3, 16) (dual of [(87386, 3), 262109, 17]-NRT-code) [i]