Abstract:In this paper, we propose the decomposition ring homomorphic encryption scheme, that is a homomorphic encryption scheme built on the decomposition ring, which is a subring of cyclotomic ring. By using the decomposition ring the structure of plaintext slot becomes Z p l , instead of GF(p d ) in conventional schemes on the cyclotomic ring. For homomorphic multiplication of integers, one can use the full of Z p l slots using the proposed scheme, although in conventional schemes one can use only one-dimensional su… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.