Abstract
On an embedded device, an implementation of cryptographic operation, like an RSA modular exponentiation [12], can be attacked by side channel analysis. In particular, recent improvements on horizontal power analysis [3, 10] render ineffective the usual counter-measures which randomize the data at the very beginning of the computations [2, 4]. To counteract horizontal analysis it is necessary to randomize the computations all along the exponentiation. The leak resistant arithmetic (LRA) proposed in [1] implements modular arithmetic in residue number system (RNS) and randomizes the computations by randomly changing the RNS bases. We propose in this paper a variant of the LRA in RNS: we propose to change only one or a few moduli of the RNS basis. This reduces the cost of the randomization and makes it possible to be executed at each loop of a modular exponentiation.
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Negre, C., Perin, G. (2015). Trade-Off Approaches for Leak Resistant Modular Arithmetic in RNS. In: Foo, E., Stebila, D. (eds) Information Security and Privacy. ACISP 2015. Lecture Notes in Computer Science(), vol 9144. Springer, Cham. https://doi.org/10.1007/978-3-319-19962-7_7
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DOI: https://doi.org/10.1007/978-3-319-19962-7_7
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