Exceptional procedure attack on elliptic curve cryptosystems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2567, Issue , 2003, Pages 224-239

  Izu, Tetsuya ^a   Takagi, Tsuyoshi ^b  

^a FUJITSU LABORATORIES LTD   (Japan)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Elliptic curve cryptosystem (ECC); Exceptional point; Exceptional procedure attack; Scalar multiplication; Side channel attack

Indexed keywords

CRYPTOGRAPHY; ELECTRONIC CRIME COUNTERMEASURES; GEOMETRY; PUBLIC KEY CRYPTOGRAPHY;

ADDITION FORMULA; ELLIPTIC CURVE; ELLIPTIC CURVE CRYPTOSYSTEM; ELLIPTIC CURVE CRYPTOSYSTEMS; EXCEPTIONAL POINTS; EXCEPTIONAL PROCEDURE ATTACK; SCALAR MULTIPLICATION; STANDARD ADDITION;

SIDE CHANNEL ATTACK;

EID: 23944497026     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36288-6_17     Document Type: Article

References (17)

1. ANSI X9.62, Public Key Cryptography for the Financial Services Industry: The Elliptic Curve Digital Signature Algorithm (ECDSA), draft, 1998.
2. I. Biehl, B. Meyer, and V. Müller, "Differential Fault Attacks on Elliptic Curve Cryptosystems", CRYPTO 2000, LNCS 1880, pp.131-146, Springer-Verlag, 2000.
3. O. Billet and M. Joye, "The Jacobi Model of an Elliptic Curve and Side-Channel Analysis", Cryptology ePrint Archive, Report 2002/125, 2002.
4. D. Boneh, R. DeMillo, and R. Lipton, "On the Importance of Checking Cryptographic Protocols for Faults", Eurocrypt'97, LNCS 1233, pp.37-51, Springer-Verlag, 1997.
5. E. Brier and M. Joye, "Weierstraß Elliptic Curves and Side-Channel Attacks", PKC 2002, LNCS 2274, pp.335-345, Springer-Verlag, 2002.
6. I. Blake, G. Seroussi, and N. Smart, Elliptic Curves in Cryptography, Cambridge University Press, 1999.
7. H. Cohen, A. Miyaji and T. Ono, "Efficient Elliptic Curve Exponentiation using Mixed Coordinates", Asiacrypt'98, LNCS 1514, Springer-Verlag, pp.51-65, 1998.
8. IEEE P1363, Standard Specifications for Public-Key Cryptography, 2000. Available from http://groupe.ieee.org/groups/1363/
9. T. Izu and T. Takagi, "On the Security of Brier-Joye's Addition Formula for Weierstrass-form Elliptic Curves", Technical Report, No. TI-3/02, Technische Universität Darmstadt, 2002.
10. M. Joye and J. Quisqiater, "Hessian Elliptic Curves and Side-Channel Attacks", CHES 2001, LNCS 2162, pp.412-420, Springer-Verlag, 2001.
11. C. Kocher, J. Jaffe, and B. Jun, "Differential Power Analysis", Crypto'99, LNCS 1666, pp.388-397, Springer-Verlag, 1999.
12. L. Law, A. Menezes, M. Qu, J. Solinas, and S. Vanstone, "An Efficient Protocol for Authenticated Key Agreement", Technical report CORR 98-05, University of Waterloo, 1998.
13. P. Liardet and N. Smart, "Preventing SPA/DPA in ECC System using the Jacobi Form", CHES 2001, LNCS 2162, pp.401-411, Springer-Verlag, 2001.
14. K. Okeya, H. Kurumatani, and K. Sakurai, "Elliptic Curves with the Montgomery Form and their cryptographic Applications", PKC 2000, LNCS 1751, pp.446-465, Springer-Verlag, 2000.
15. Standards for Efficient Cryptography Group (SECG), Specification of Standards for Efficient Cryptography. Available from http://wvw.secg.org
16. J. Silverman, The Arithmetic of Elliptic Curves, GMT 106, Springer-Verlag, 1986.
17. N. Smart, "The Hessian Form of an Elliptic Curve", CHES 2001, LNCS 2162, pp.118-125, Springer-Verlag, 2001.