Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
IEEE Transactions on Computers
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
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
More Flexible Exponentiation with Precomputation
CRYPTO '94 Proceedings of the 14th 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
Securing Elliptic Curve Point Multiplication against Side-Channel Attacks
ISC '01 Proceedings of the 4th International Conference on Information Security
Fast Implementation of Elliptic Curve Arithmetic in GF(pn)
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
Universal Exponentiation Algorithm
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Randomized Addition-Subtraction Chains as a Countermeasure against Power Attacks
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Digital multi-signature scheme based on the elliptic curve cryptosystem
Journal of Computer Science and Technology
SPA-resistant simultaneous scalar multiplication
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part II
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The Simple Power Analysis (SPA) attack against an elliptic curve cryptosystem distinguishes between point doubling and point addition in a single execution of scalar multiplication. Although many SPA-resistant scalar multiplication algorithms have been proposed, few countermeasures for multi-scalar multiplications are known. In this paper, we propose a new SPA-resistant multi-scalar multiplication for a pair of integers combing the Joint Sparse Form (JSF) representation technique for pair of integers, point randomization, and uniform operation sequence. The new method requires about 8.5% less multiplications in the field compared to the known countermeasures.