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Cap Unification: Application to Protocol Security modulo Homomorphic Encryption

Identifieur interne : 002D71 ( Main/Exploration ); précédent : 002D70; suivant : 002D72

Cap Unification: Application to Protocol Security modulo Homomorphic Encryption

Auteurs : Siva Anantharaman [France] ; Hai Lin ; Christopher Lynch ; Paliath Narendran ; Michael Rusinowitch [France]

Source :

RBID : Hal:inria-00448703

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English descriptors

Abstract

We address the insecurity problem for cryptographic protocols, for an active intruder and a bounded number of sessions. The protocol steps are modeled as rigid Horn clauses, and the intruder abilities as an equational theory. The problem of active intrusion -- such as whether a secret term can be derived, possibly via interaction with the honest participants of the protocol -- is then formulated as a Cap Unification problem. Cap Unification is an extension of Equational Unification: look for a cap to be placed on a given set of terms, so as to unify it with a given term modulo the equational theory. We give a decision procedure for Cap Unification, when the intruder capabilities are modeled as homomorphic encryption theory. Our procedure can be employed in a simple manner to detect attacks exploiting some properties of block ciphers.

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Le document en format XML

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<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
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</org>
</tutelle>
<tutelle active="#struct-2496" type="direct">
<org type="laboratory" xml:id="struct-2496" status="OLD">
<orgName>INRIA Lorraine</orgName>
<desc>
<address>
<addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
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<relation active="#struct-300009" type="direct"></relation>
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<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city" wicri:auto="siege">Besançon</settlement>
<region type="region" nuts="2">Franche-Comté</region>
</placeName>
<orgName type="university">Université de Franche-Comté</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Bourgogne Franche-Comté</orgName>
<placeName>
<settlement type="city" wicri:auto="siege">Belfort</settlement>
<region type="region" nuts="2">Franche-Comté</region>
</placeName>
<orgName type="university">Université de technologie de Belfort-Montbéliard</orgName>
</affiliation>
</author>
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<keywords scheme="mix" xml:lang="en">
<term>Protocol</term>
<term>Rewriting</term>
<term>Secrecy Analysis</term>
<term>Unification</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr">
<term>Protocole</term>
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<front>
<div type="abstract" xml:lang="en">We address the insecurity problem for cryptographic protocols, for an active intruder and a bounded number of sessions. The protocol steps are modeled as rigid Horn clauses, and the intruder abilities as an equational theory. The problem of active intrusion -- such as whether a secret term can be derived, possibly via interaction with the honest participants of the protocol -- is then formulated as a Cap Unification problem. Cap Unification is an extension of Equational Unification: look for a cap to be placed on a given set of terms, so as to unify it with a given term modulo the equational theory. We give a decision procedure for Cap Unification, when the intruder capabilities are modeled as homomorphic encryption theory. Our procedure can be employed in a simple manner to detect attacks exploiting some properties of block ciphers.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>France</li>
</country>
<region>
<li>Centre-Val de Loire</li>
<li>Franche-Comté</li>
<li>Grand Est</li>
<li>Lorraine (région)</li>
<li>Région Centre</li>
</region>
<settlement>
<li>Belfort</li>
<li>Besançon</li>
<li>Nancy</li>
<li>Orléans</li>
</settlement>
<orgName>
<li>Centre Val de Loire Université</li>
<li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université d'Orléans</li>
<li>Université de Bourgogne Franche-Comté</li>
<li>Université de Franche-Comté</li>
<li>Université de Lorraine</li>
<li>Université de technologie de Belfort-Montbéliard</li>
</orgName>
</list>
<tree>
<noCountry>
<name sortKey="Lin, Hai" sort="Lin, Hai" uniqKey="Lin H" first="Hai" last="Lin">Hai Lin</name>
<name sortKey="Lynch, Christopher" sort="Lynch, Christopher" uniqKey="Lynch C" first="Christopher" last="Lynch">Christopher Lynch</name>
<name sortKey="Narendran, Paliath" sort="Narendran, Paliath" uniqKey="Narendran P" first="Paliath" last="Narendran">Paliath Narendran</name>
</noCountry>
<country name="France">
<region name="Région Centre">
<name sortKey="Anantharaman, Siva" sort="Anantharaman, Siva" uniqKey="Anantharaman S" first="Siva" last="Anantharaman">Siva Anantharaman</name>
</region>
<name sortKey="Rusinowitch, Michael" sort="Rusinowitch, Michael" uniqKey="Rusinowitch M" first="Michael" last="Rusinowitch">Michael Rusinowitch</name>
</country>
</tree>
</affiliations>
</record>

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