  This article present a concise estimate of upper and lower bound on the
cardinality containing shortest vector in a lattice reduced by block
Korkin-Zolotarev method (BKZ) for different value of the block size. Paper show
how density affect to this cardinality, in form of the ratio of shortest vector
size and sucessive minimal. Moreover we give upper estimate of cardinality for
critical and Goldstein-Mayer lattices.
