Efficient Randomized Regular Modular Exponentiation using Combined Montgomery and Barrett Multiplications

Andrea Lesavourey, Christophe Negre, Thomas Plantard

2016

Abstract

Cryptographic operations performed on an embedded device are vulnerable to side channel analysis and particularly to differential and correlation power analysis. The basic protection against such attacks is to randomize the data all along the cryptographic computations. In this paper we present a modular multiplication algorithm which can be used for randomization. We show that we can use it to randomize the modular exponentiation of the RSA cryptosystem. The proposed randomization is free of computation and induces a level of randomization from 210 to 215 for practical RSA modulus size.

Paper Citation

in Harvard Style

Lesavourey A., Negre C. and Plantard T. (2016). Efficient Randomized Regular Modular Exponentiation using Combined Montgomery and Barrett Multiplications . In Proceedings of the 13th International Joint Conference on e-Business and Telecommunications - Volume 4: SECRYPT, (ICETE 2016) ISBN 978-989-758-196-0, pages 368-375. DOI: 10.5220/0005998503680375

in Bibtex Style

@conference{secrypt16,
author={Andrea Lesavourey and Christophe Negre and Thomas Plantard},
title={Efficient Randomized Regular Modular Exponentiation using Combined Montgomery and Barrett Multiplications},
booktitle={Proceedings of the 13th International Joint Conference on e-Business and Telecommunications - Volume 4: SECRYPT, (ICETE 2016)},
year={2016},
pages={368-375},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005998503680375},
isbn={978-989-758-196-0},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 13th International Joint Conference on e-Business and Telecommunications - Volume 4: SECRYPT, (ICETE 2016)
TI - Efficient Randomized Regular Modular Exponentiation using Combined Montgomery and Barrett Multiplications
SN - 978-989-758-196-0
AU - Lesavourey A.
AU - Negre C.
AU - Plantard T.
PY - 2016
SP - 368
EP - 375
DO - 10.5220/0005998503680375