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Distributed ElGamal à la Pedersen - Application to Helios

Identifieur interne : 000F47 ( Main/Exploration ); précédent : 000F46; suivant : 000F48

Distributed ElGamal à la Pedersen - Application to Helios

Auteurs : Véronique Cortier [France] ; David Galindo [France] ; Stephane Glondu [France] ; Malika Izabachène [France]

Source :

RBID : Hal:hal-00881076

Abstract

Real-world elections often require threshold cryptosystems so that any t out of l trustees can proceed to tallying. This is needed to protect the confidentiality of the voters' votes against curious authorities (at least t+1 trustees must collude to learn individual votes) as well as to increase the robustness of the election (in case some trustees become unavailable, t+1 trustees suffice to compute the election result). We describe a fully distributed (with no dealer) threshold cryptosystem suitable for the Helios voting system (in particular, suitable to partial decryption), and prove it secure under the Decisional Diffie-Hellman assumption. Secondly, we propose a fully distributed variant of Helios, that allows for arbitrary threshold parameters l,t, together with a proof of ballot privacy when used for referendums. Our modification of Helios can be seen as revision of the seminal multi-authority election system from Cramer, Gennaro and Schoenmakers, upon which the original Helios system is based. As such, our work implies, to our knowledge, the first formal proof of ballot privacy for the scheme by Cramer et al. Thirdly, we provide the first open-source implementation of Helios with a fully distributed key generation setup.

Url:
DOI: 10.1145/2517840.2517852


Affiliations:


Links toward previous steps (curation, corpus...)


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<orgName>Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies</orgName>
<orgName type="acronym">FEMTO-ST</orgName>
<desc>
<address>
<addrLine>32 avenue de l'Observatoire 25044 BESANCON CEDEX</addrLine>
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<ref type="url">http://www.femto-st.fr</ref>
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<orgName>Université de Franche-Comté</orgName>
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</address>
<ref type="url">http://www.univ-fcomte.fr</ref>
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<address>
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</address>
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</address>
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</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">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>
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<idno type="DOI">10.1145/2517840.2517852</idno>
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<div type="abstract" xml:lang="en">Real-world elections often require threshold cryptosystems so that any t out of l trustees can proceed to tallying. This is needed to protect the confidentiality of the voters' votes against curious authorities (at least t+1 trustees must collude to learn individual votes) as well as to increase the robustness of the election (in case some trustees become unavailable, t+1 trustees suffice to compute the election result). We describe a fully distributed (with no dealer) threshold cryptosystem suitable for the Helios voting system (in particular, suitable to partial decryption), and prove it secure under the Decisional Diffie-Hellman assumption. Secondly, we propose a fully distributed variant of Helios, that allows for arbitrary threshold parameters l,t, together with a proof of ballot privacy when used for referendums. Our modification of Helios can be seen as revision of the seminal multi-authority election system from Cramer, Gennaro and Schoenmakers, upon which the original Helios system is based. As such, our work implies, to our knowledge, the first formal proof of ballot privacy for the scheme by Cramer et al. Thirdly, we provide the first open-source implementation of Helios with a fully distributed key generation setup.</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>Metz</li>
<li>Nancy</li>
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<orgName>
<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>
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<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="Galindo, David" sort="Galindo, David" uniqKey="Galindo D" first="David" last="Galindo">David Galindo</name>
<name sortKey="Glondu, Stephane" sort="Glondu, Stephane" uniqKey="Glondu S" first="Stephane" last="Glondu">Stephane Glondu</name>
<name sortKey="Izabachene, Malika" sort="Izabachene, Malika" uniqKey="Izabachene M" first="Malika" last="Izabachène">Malika Izabachène</name>
</country>
</tree>
</affiliations>
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