Title : 
A Novel Somewhat Homomorphic Encryption over Integers
         
        
            Author : 
Ding Yong ; Wang Zheng ; Li Xinguo
         
        
            Author_Institution : 
Sch. of Math. & Comput. Sci., Guilin Univ. of Electron. Tecnology, Guilin, China
         
        
        
        
        
        
            Abstract : 
We prove the multiple messages semantically security of the somewhat homomorphic private-key scheme presented by van Dijk et al. And convert it into a public-key scheme by using Ron Rothblum´s transformation. The initial noise in the scheme is more smaller than that in Coron´s. And can also convert it into a FHE in the ways described by van Dijk.
         
        
            Keywords : 
private key cryptography; public key cryptography; Ron Rothblum transformation; multiple messages semantically security; private key scheme; public key scheme; somewhat homomorphic encryption; Encryption; Noise; Polynomials; Public key; Transforms; fully homomorphic encryption; multiple messages semantically security; somewhat homomorphic encryption;
         
        
        
        
            Conference_Titel : 
Emerging Intelligent Data and Web Technologies (EIDWT), 2013 Fourth International Conference on
         
        
            Conference_Location : 
Xi´an
         
        
            Print_ISBN : 
978-1-4799-2140-9
         
        
        
            DOI : 
10.1109/EIDWT.2013.54