On a discrete version of alexandrov.s projection theorem

In this paper, we consider a discrete version of Aleksandrov.s projection theorem. We prove that an origin-symmetric convex lattice set, whose lattice.s y-coordinates. absolute values are not bigger than 2, can be uniquely determined by its lattice projection counts if its cardinality is not 11. This partly answers a question on the discrete version of Aleksandrov.s projection theorem which was proposed by Gardner, Gronchi and Zong in 2005.