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A Cautionary Note Regarding Cryptographic Protocols Based on Composite Integers

Galbraith, Steven D.; Mao, Wenbo; Paterson, Kenneth G.


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Abstract: These days it is rather common in cryptology to see ideas which originated in the setting of finite fields being extended to Z*N. However, the security results do not necessarily generalise to Z*N. In this paper we illustrate this phenomenon by pointing out a flaw in the soundness proof of a zero-knowledge protocol in a timed commitment scheme of Boneh and Naor. Notes: Steven Galbraith and Kenny Paterson, Information Security Group, Mathematics Department, Royal Holloway University of London, Egham, Surrey TW20 0EX, UK

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