Title : 
Aspects of Pairing Inversion
         
        
            Author : 
Galbraith, S. ; Hess, F. ; Vercauteren, F.
         
        
            Author_Institution : 
Dept. of Math., R. Holloway Univ. of London, Egham
         
        
        
        
        
        
        
            Abstract : 
In this paper, we discuss some applications of the pairing inversion problem and outline some potential approaches for solving it. Our analysis of these approaches gives further evidence that pairing inversion is a difficult problem.
         
        
            Keywords : 
public key cryptography; Ate pairing; Diffie-Hellman problem; Tate pairing; pairing inversion problem; public key cryptography; Elliptic curve cryptography; Galois fields; Mathematics; Performance evaluation; Power engineering computing; Public key cryptography; Security; Warranties; Ate pairing; Diffie–Hellman problem; Tate pairing; pairing inversion;
         
        
        
            Journal_Title : 
Information Theory, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TIT.2008.2006431