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Protections against differential analysis for elliptic curve cryptography. An algebraic approach. (English) Zbl 1012.94550
Koç, Çetin K. (ed.) et al., Cryptographic hardware and embedded systems - CHES 2001. 3rd international workshop, Paris, France, May 14-16, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2162, 377-390 (2001).
summary: We propose several new methods to protect the scalar multiplication on an elliptic curve against differential analysis. The basic idea consists in transforming the curve through various random morphisms to provide a nondeterministic execution of the algorithm.
The solutions we suggest complement and improve the state-of-the-art, but also provide a practical toolbox of efficient countermeasures. These should suit most of the needs for protecting implementations of crypto-algorithms based on elliptic curves.
For the entire collection see [Zbl 0971.00042].

MSC:
94A60 Cryptography
14G50 Applications to coding theory and cryptography of arithmetic geometry
68P25 Data encryption (aspects in computer science)
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