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Blinded Montgomery Powering Ladder Protected Against the Jacobi Symbol Attack
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International Journal of Security (IJS)
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Volume:  6    Issue:  3
Pages:  
Publication Date:   June 2012
ISSN (Online): 1985-2320
Pages 
14 - 27
Author(s)  
 
Published Date   
20-06-2012 
Publisher 
CSC Journals, Kuala Lumpur, Malaysia
ADDITIONAL INFORMATION
Keywords   Abstract   References   Cited by   Related Articles   Collaborative Colleague
 
KEYWORDS:   Modular Exponentiation, Cryptography, Jacobi Symbol, Montgomery ladder, Fault Attacks 
 
 
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Many physical attack types (Timing attacks, Power consumption attacks, Fault attacks, etc.) have been developed against cryptosystems, and specifically against the modular exponentiation which is the core operation of many cryptosystems, in the recent years. Indeed there is a real necessity to eliminate the vulnerabilities of the cryptosystems, like CRT-RSA or the Elliptic Curve Cryptosystem, that make them susceptible to those attacks. In 2006 Boreale described a new type of physical attack which is based in the Jacobi symbol concept, and after that, Schmidt used the same concept as Boreale to break the security of the blinded Montgomery powering ladder. In this paper a countermeasure against the Schmidt\'s attack is presented in order to make the blinded Montgomery powering ladder resistant to the Jacobi symbol attack. 
 
 
 
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