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Computationally Sound Implementations of Equational Theories against Passive Adversaries

Identifieur interne : 001747 ( Hal/Corpus ); précédent : 001746; suivant : 001748

Computationally Sound Implementations of Equational Theories against Passive Adversaries

Auteurs : Mathieu Baudet ; Véronique Cortier ; Steve Kremer

Source :

RBID : Hal:inria-00426620

Abstract

In this paper we study the link between formal and cryptographic models for security protocols in the presence of passive adversaries. In contrast to other works, we do not consider a fixed set of primitives but aim at results for arbitrary equational theories. We define a framework forcomparing a cryptographicimplementation and its idealization with respect to various security notions. In particular, we concentrate on the computational soundness of static equivalence, a standard tool in cryptographic pi calculi. We present a soundness criterion, which for many theories is not only sufficient but also necessary. Finally, to illustrate our framework, we establish the soundness of static equivalence for the exclusive OR and a theory of ciphers and lists.

Url:
DOI: 10.1016/j.ic.2008.12.005

Links to Exploration step

Hal:inria-00426620

Le document en format XML

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<title xml:lang="en">Computationally Sound Implementations of Equational Theories against Passive Adversaries</title>
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<abstract xml:lang="en">In this paper we study the link between formal and cryptographic models for security protocols in the presence of passive adversaries. In contrast to other works, we do not consider a fixed set of primitives but aim at results for arbitrary equational theories. We define a framework forcomparing a cryptographicimplementation and its idealization with respect to various security notions. In particular, we concentrate on the computational soundness of static equivalence, a standard tool in cryptographic pi calculi. We present a soundness criterion, which for many theories is not only sufficient but also necessary. Finally, to illustrate our framework, we establish the soundness of static equivalence for the exclusive OR and a theory of ciphers and lists.</abstract>
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