Elliptic curves in cryptography
Elliptic curves in cryptography
Software Implementation of the NIST Elliptic Curves Over Prime Fields
CT-RSA 2001 Proceedings of the 2001 Conference on Topics in Cryptology: The Cryptographer's Track at RSA
Efficient elliptic curve exponentiation
ICICS '97 Proceedings of the First International Conference on Information and Communication Security
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems
CRYPTO '96 Proceedings of the 16th Annual International Cryptology Conference on Advances in Cryptology
Power Analysis Breaks Elliptic Curve Cryptosystems even Secure against the Timing Attack
INDOCRYPT '00 Proceedings of the First International Conference on Progress in Cryptology
Efficient Elliptic Curve Exponentiation Using Mixed Coordinates
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Elliptic Curves with the Montgomery-Form and Their Cryptographic Applications
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Preventing SPA/DPA in ECC Systems Using the Jacobi Form
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Hessian Elliptic Curves and Side-Channel Attacks
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
A New Elliptic Curve Scalar Multiplication Algorithm to Resist Simple Power Analysis
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
Fast Elliptic Curve Multiplications with SIMD Operations
ICICS '02 Proceedings of the 4th International Conference on Information and Communications Security
Improved Elliptic Curve Multiplication Methods Resistant against Side Channel Attacks
INDOCRYPT '02 Proceedings of the Third International Conference on Cryptology: Progress in Cryptology
ISC '02 Proceedings of the 5th International Conference on Information Security
A Second-Order DPA Attack Breaks a Window-Method Based Countermeasure against Side Channel Attacks
ISC '02 Proceedings of the 5th International Conference on Information Security
A Fast Parallel Elliptic Curve Multiplication Resistant against Side Channel Attacks
PKC '02 Proceedings of the 5th International Workshop on Practice and Theory in Public Key Cryptosystems: Public Key Cryptography
Weierstraß Elliptic Curves and Side-Channel Attacks
PKC '02 Proceedings of the 5th International Workshop on Practice and Theory in Public Key Cryptosystems: Public Key Cryptography
A Refined Power-Analysis Attack on Elliptic Curve Cryptosystems
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
Enhancing Simple Power-Analysis Attacks on Elliptic Curve Cryptosystems
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Randomized Signed-Scalar Multiplication of ECC to Resist Power Attacks
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Preventing Differential Analysis in GLV Elliptic Curve Scalar Multiplication
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
DPA Countermeasures by Improving the Window Method
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Power attacks on a side-channel resistant elliptic curve implementation
Information Processing Letters - Devoted to the rapid publication of short contributions to information processing
Efficient elliptic curve scalar multiplication algorithms resistant to power analysis
Information Sciences: an International Journal
Highly Regular Right-to-Left Algorithms for Scalar Multiplication
CHES '07 Proceedings of the 9th international workshop on Cryptographic Hardware and Embedded Systems
Workload Characterization of a Lightweight SSL Implementation Resistant to Side-Channel Attacks
CANS '08 Proceedings of the 7th International Conference on Cryptology and Network Security
New Elliptic Curve Multi-scalar Multiplication Algorithm for a Pair of Integers to Resist SPA
Information Security and Cryptology
Exponent Recoding and Regular Exponentiation Algorithms
AFRICACRYPT '09 Proceedings of the 2nd International Conference on Cryptology in Africa: Progress in Cryptology
Random Order m-ary Exponentiation
ACISP '09 Proceedings of the 14th Australasian Conference on Information Security and Privacy
Secure signed radix-r recoding methods for constrained-embedded devices
ISPEC'07 Proceedings of the 3rd international conference on Information security practice and experience
A random M-ary method based countermeasure against side channel attacks
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII
CT-RSA'03 Proceedings of the 2003 RSA conference on The cryptographers' track
Fast elliptic curve arithmetic and improved weil pairing evaluation
CT-RSA'03 Proceedings of the 2003 RSA conference on The cryptographers' track
Side-channel analysis of cryptographic software via early-terminating multiplications
ICISC'09 Proceedings of the 12th international conference on Information security and cryptology
Efficient doubling on genus two curves over binary fields
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
SPA-resistant simultaneous scalar multiplication
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part II
INDOCRYPT'05 Proceedings of the 6th international conference on Cryptology in India
Countermeasures for preventing comb method against SCA attacks
ISPEC'05 Proceedings of the First international conference on Information Security Practice and Experience
Flexible exponentiation with resistance to side channel attacks
ACNS'06 Proceedings of the 4th international conference on Applied Cryptography and Network Security
Practical modifications of leadbitter et al.'s repeated-bits side-channel analysis on (EC)DSA
WISA'05 Proceedings of the 6th international conference on Information Security Applications
A DPA countermeasure by randomized frobenius decomposition
WISA'05 Proceedings of the 6th international conference on Information Security Applications
SPA resistant left-to-right integer recodings
SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography
Efficient java implementation of elliptic curve cryptography for J2ME-Enabled mobile devices
WISTP'12 Proceedings of the 6th IFIP WG 11.2 international conference on Information Security Theory and Practice: security, privacy and trust in computing systems and ambient intelligent ecosystems
Digit set randomization in elliptic curve cryptography
SAGA'07 Proceedings of the 4th international conference on Stochastic Algorithms: foundations and applications
SPA countermeasure based on unsigned left-to-right recodings
ATC'07 Proceedings of the 4th international conference on Autonomic and Trusted Computing
Complete atomic blocks for elliptic curves in jacobian coordinates over prime fields
LATINCRYPT'12 Proceedings of the 2nd international conference on Cryptology and Information Security in Latin America
Information Sciences: an International Journal
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For making elliptic curve point multiplication secure against side-channel attacks, various methods have been proposed using special point representations for specifically chosen elliptic curves. We show that the same goal can be achieved based on conventional elliptic curve arithmetic implementations. Our point multiplication method is much more general than the proposals requiring non-standard point representations; in particular, it can be used with the curves recommended by NIST and SECG. It also provides efficiency advantages over most earlier proposals.