In this paper we will construct a lattice-based public-key cryptosystem using non-commutative quaternion algebra, and since its lattice does not fully fit within Circular and Convolutional Modular Lattice (CCML), we prove it is arguably more secure than the existing lattice-based cryptosystems such as NTRU. As in NTRU, the proposed public-key cryptosystem relies for its inherent securi...

herpes simplex esophagitis (hse) has rarely been reported in immunocom­petent individuals. in a search of medline until october 2012, we found only one case of hse in a pregnant female. we present the first case of hse in a healthy 36-year-old female at 27 weeks gestation who recovered without an­tiviral therapy. normal 0 false false false en-us x-none fa

fuzzy groups and fuzzy theory have a lot of applications in several sciencessuch as mathematics, computer science, computer and electrical engineering.hence, counting the number of fuzzy subgroups of finite groups to classify them isan important issue in fuzzy theory. the main goal of this paper is to give an explicitformula for the number of fuzzy subgroups of a finite cyclic groupg z p1 z p 2...