Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
ICISC '01 Proceedings of the 4th International Conference Seoul on Information Security and Cryptology
CRYPTO '99 Proceedings of the 19th 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
Securing Elliptic Curve Point Multiplication against Side-Channel Attacks
ISC '01 Proceedings of the 4th International Conference on Information Security
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
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
Power Analysis Attacks of Modular Exponentiation in Smartcards
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Fast Multiplication on Elliptic Curves over GF(2m) without Precomputation
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
CHES '00 Proceedings of the Second 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
Universal Exponentiation Algorithm
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
Protections against Differential Analysis for Elliptic Curve Cryptography
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
The Hessian Form of an Elliptic Curve
CHES '01 Proceedings of the Third 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
International Journal of Information and Computer Security
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
Computers and Electrical Engineering
Generalized Scalar Multiplication Secure against SPA, DPA, and RPA
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
On Avoiding ZVP-Attacks Using Isogeny Volcanoes
Information Security Applications
ISPEC'07 Proceedings of the 3rd international conference on Information security practice and experience
Cryptanalysis of the full version randomized addition-subtraction chains
ACISP'03 Proceedings of the 8th Australasian conference on Information security and privacy
Enhanced doubling attacks on signed-all-bits set recoding
WISTP'07 Proceedings of the 1st IFIP TC6 /WG8.8 /WG11.2 international conference on Information security theory and practices: smart cards, mobile and ubiquitous computing systems
Generalized MMM-algorithm secure against SPA, DPA, and RPA
ICISC'07 Proceedings of the 10th international conference on Information security and cryptology
Provably secure countermeasure resistant to several types of power attack for ECC
WISA'07 Proceedings of the 8th international conference on Information security applications
AFRICACRYPT'08 Proceedings of the Cryptology in Africa 1st international conference on Progress in cryptology
On the BRIP algorithms security for RSA
WISTP'08 Proceedings of the 2nd IFIP WG 11.2 international conference on Information security theory and practices: smart devices, convergence and next generation networks
Coordinate blinding over large prime fields
CHES'10 Proceedings of the 12th international conference on Cryptographic hardware and embedded systems
Side-channel analysis of cryptographic software via early-terminating multiplications
ICISC'09 Proceedings of the 12th international conference on Information security and cryptology
Combined implementation attack resistant exponentiation
LATINCRYPT'10 Proceedings of the First international conference on Progress in cryptology: cryptology and information security in Latin America
Scan-based attack against elliptic curve cryptosystems
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
To infinity and beyond: combined attack on ECC using points of low order
CHES'11 Proceedings of the 13th international conference on Cryptographic hardware and embedded systems
Generic cryptanalysis of combined countermeasures with randomized BSD representations
CARDIS'06 Proceedings of the 7th IFIP WG 8.8/11.2 international conference on Smart Card Research and Advanced Applications
Power analysis to ECC using differential power between multiplication and squaring
CARDIS'06 Proceedings of the 7th IFIP WG 8.8/11.2 international conference on Smart Card Research and Advanced Applications
Mycrypt'05 Proceedings of the 1st international conference on Progress in Cryptology in Malaysia
Improved zero value attack on XTR
ACISP'05 Proceedings of the 10th Australasian conference on Information Security and Privacy
Blinded fault resistant exponentiation
FDTC'06 Proceedings of the Third international conference on Fault Diagnosis and Tolerance in Cryptography
Signed MSB-set comb method for elliptic curve point multiplication
ISPEC'06 Proceedings of the Second international conference on Information Security Practice and Experience
Novel efficient implementations of hyperelliptic curve cryptosystems using degenerate divisors
WISA'04 Proceedings of the 5th international conference on Information Security Applications
Countermeasures for preventing comb method against SCA attacks
ISPEC'05 Proceedings of the First international conference on Information Security Practice and Experience
Resistance of randomized projective coordinates against power analysis
CHES'05 Proceedings of the 7th international conference on Cryptographic hardware and embedded systems
Exact analysis of montgomery multiplication
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
Improving the randomized initial point countermeasure against DPA
ACNS'06 Proceedings of the 4th international conference on Applied Cryptography and Network Security
Efficient countermeasures for thwarting the SCA attacks on the frobenius based methods
IMA'05 Proceedings of the 10th international conference on Cryptography and Coding
An updated survey on secure ECC implementations: attacks, countermeasures and cost
Cryptography and Security
Same values power analysis using special points on elliptic curves
COSADE'12 Proceedings of the Third international conference on Constructive Side-Channel Analysis and Secure Design
Zero-value point attacks on kummer-based cryptosystem
ACNS'12 Proceedings of the 10th international conference on Applied Cryptography and Network Security
Low-Cost countermeasure against RPA
CARDIS'12 Proceedings of the 11th international conference on Smart Card Research and Advanced Applications
Updated recommendations for blinded exponentiation vs. single trace analysis
COSADE'13 Proceedings of the 4th international conference on Constructive Side-Channel Analysis and Secure Design
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As Elliptic Curve Cryptosystems are becoming more and more popular and are included in many standards, an increasing demand has appeared for secure implementations that are not vulnerable to side-channel attacks. To achieve this goal, several generic countermeasures against Power Analysis have been proposed in recent years.In particular, to protect the basic scalar multiplication - on an elliptic curve - against Differential Power Analysis (DPA), it has often been recommended using "random projective coordinates", "random elliptic curve isomorphisms" or "random field isomorphisms". So far, these countermeasures have been considered by many authors as a cheap and secure way of avoiding the DPA attacks on the "scalar multiplication" primitive. However we show in the present paper that, for many elliptic curves, such a DPA-protection of the "scalar" multiplication is not sufficient. In a chosen message scenario, a Power Analysis attack is still possible even if one of the three aforementioned countermeasures is used. We expose a new Power Analysis strategy that can be successful for a large class of elliptic curves, including most of the sample curves recommended by standard bodies such as ANSI, IEEE, ISO, NIST, SECG or WTLS.This result means that the problem of randomizing the basepoint may be more difficult than expected and that "standard" techniques have still to be improved, which may also have an impact on the performances of the implementations.