A Survey of Algebraic Properties Used in Cryptographic Protocols
Identifieur interne : 005821 ( Main/Exploration ); précédent : 005820; suivant : 005822A Survey of Algebraic Properties Used in Cryptographic Protocols
Auteurs : Véronique Cortier [France] ; Stéphanie Delaune [France] ; Pascal Lafourcade [France]Source :
English descriptors
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Abstract
Cryptographic protocols are successfully analyzed using formal methods. However, formal approaches usually consider the encryption schemes as black boxes and assume that an adversary cannot learn anything from an encrypted message except if he has the key. Such an assumption is too strong in general since some attacks exploit in a clever way the interaction between protocol rules and properties of cryptographic operators. Moreover, the executability of some protocols relies explicitly on some algebraic properties of cryptographic primitives such as commutative encryption. We give a list of some relevant algebraic properties of cryptographic operators, and for each of them, we provide examples of protocols or attacks using these properties. We also give an overview of the existing methods in formal approaches for analyzing cryptographic protocols.
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Affiliations:
- France
- Franche-Comté, Grand Est, Lorraine (région)
- Belfort, Besançon, Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de Lorraine, Université de technologie de Belfort-Montbéliard
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Le document en format XML
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Cachan</orgName><orgName type="acronym">ENS Cachan</orgName><desc><address><addrLine>61, avenue du Président Wilson - 94230 Cachan</addrLine><country key="FR"></country></address><ref type="url">http://www.ens-cachan.fr/</ref></desc></org></tutelle><tutelle name="UMR8643" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><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></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author><author><name sortKey="Lafourcade, Pascal" sort="Lafourcade, Pascal" uniqKey="Lafourcade P" first="Pascal" last="Lafourcade">Pascal Lafourcade</name><affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-2571" status="VALID"><orgName>Laboratoire Spécification et Vérification [Cachan]</orgName><orgName type="acronym">LSV</orgName><desc><address><addrLine>Bâtiment d'Alembert 61 Avenue du Président Wilson 94235 CACHAN CEDEX</addrLine><country key="FR"></country></address><ref type="url">http://www.lsv.ens-cachan.fr/</ref></desc><listRelation><relation active="#struct-6862" type="direct"></relation><relation name="UMR8643" active="#struct-441569" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-6862" type="direct"><org type="institution" xml:id="struct-6862" status="VALID"><orgName>École normale supérieure - Cachan</orgName><orgName type="acronym">ENS Cachan</orgName><desc><address><addrLine>61, avenue du Président Wilson - 94230 Cachan</addrLine><country key="FR"></country></address><ref type="url">http://www.ens-cachan.fr/</ref></desc></org></tutelle><tutelle name="UMR8643" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><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></desc></org></tutelle></tutelles></hal:affiliation><country>France</country></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>abelian group</term><term>algebraic properties</term><term>cryptographic protocols</term><term>decidability results</term><term>elliptic curves</term><term>exclusive or</term><term>modular exponentiation</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Cryptographic protocols are successfully analyzed using formal methods. However, formal approaches usually consider the encryption schemes as black boxes and assume that an adversary cannot learn anything from an encrypted message except if he has the key. Such an assumption is too strong in general since some attacks exploit in a clever way the interaction between protocol rules and properties of cryptographic operators. Moreover, the executability of some protocols relies explicitly on some algebraic properties of cryptographic primitives such as commutative encryption. We give a list of some relevant algebraic properties of cryptographic operators, and for each of them, we provide examples of protocols or attacks using these properties. We also give an overview of the existing methods in formal approaches for analyzing cryptographic protocols.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Franche-Comté</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Belfort</li><li>Besançon</li><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</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><country name="France"><region name="Grand Est"><name sortKey="Cortier, Veronique" sort="Cortier, Veronique" uniqKey="Cortier V" first="Véronique" last="Cortier">Véronique Cortier</name></region><name sortKey="Delaune, Stephanie" sort="Delaune, Stephanie" uniqKey="Delaune S" first="Stéphanie" last="Delaune">Stéphanie Delaune</name><name sortKey="Lafourcade, Pascal" sort="Lafourcade, Pascal" uniqKey="Lafourcade P" first="Pascal" last="Lafourcade">Pascal Lafourcade</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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