Electromagnetic analysis on elliptic curve cryptosystems: measures and counter-measures for smart cards

Authors:
Keke Wu;Huiyun Li;Tingding Chen;Fengqi Yu
Affiliations:
Dept. of Integrated Electronics Shenzhen Inst. of Advanced Techn., Chinese Academy of Sci., The Chinese Univ. of Hong Kong and Inst. of Computing Techn. Chinese Academy of Sci. and Graduate Univ. ...;Department of Integrated Electronics Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, The Chinese University of Hong Kong;Department of Integrated Electronics Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, The Chinese University of Hong Kong;Department of Integrated Electronics Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, The Chinese University of Hong Kong
Venue:
IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
Year:
2009

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Abstract

Although the possibility of attacking elliptic curve cryptosystems (ECC) by power analysis repeatedly appears in research papers, there were few electromagnetic analysis papers and conclusive experiments where actual elliptic curve cryptosystems were successfully attacked and prevented. In this paper we describe electromagnetic (EM) analysis experiments conducted on 3 implementations of elliptic curve cryptosystems. They are respectively binary, double-and-add-always and Montgomery methods of point multiplication. The experimental results indicate that using simple electromagnetic analysis (SEMA), the complete key material could be successfully retrieved from binary method, but not from doubleand-add-always and Montgomery method.