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How (Not) to design strong-RSA signatures

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Abstract

This paper considers strong-RSA signature schemes built from the scheme of Cramer and Shoup. We present a basic scheme encompassing the main features of the Cramer-Shoup scheme. We analyze its security in both the random oracle model and the standard model. This helps us to spot potential security flaws. As a result, we show that a seemingly secure signature scheme (Tan in Int J Security Netw 1(3/4): 237–242, 2006) is universally forgeable under a known-message attack. In a second step, we discuss how to turn the basic scheme into a fully secure signature scheme. Doing so, we rediscover several known schemes (or slight variants thereof).

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  1. Technicolor, Security & Content Protection Labs, 1 avenue de Belle Fontaine, 35576, Cesson-Sévigné Cedex, France

    Marc Joye

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  1. Marc Joye
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Correspondence to Marc Joye.

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Joye, M. How (Not) to design strong-RSA signatures. Des. Codes Cryptogr. 59, 169–182 (2011). https://doi.org/10.1007/s10623-010-9453-1

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