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Unification Modulo Homomorphic Encryption

Identifieur interne : 005045 ( Hal/Corpus ); précédent : 005044; suivant : 005046

Unification Modulo Homomorphic Encryption

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

Source :

RBID : Hal:inria-00426798

Abstract

Encryption ‘distributing over pairs' is a technique employed in several cryptographic protocols. We show that unification is decidable for an equational theory HE specifying such an encryption. The method consists in transforming any given problem in such a way, that the resulting problem can be solved by combining a graph-based reasoning on its equations involving the homomorphisms, with a syntactic reasoning on its pairings. We show HE-unification to be NP-hard and in NEXPTIME.

Url:
DOI: 10.1007/978-3-642-04222-5_6

Links to Exploration step

Hal:inria-00426798

Le document en format XML

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<div type="abstract" xml:lang="en">Encryption ‘distributing over pairs' is a technique employed in several cryptographic protocols. We show that unification is decidable for an equational theory HE specifying such an encryption. The method consists in transforming any given problem in such a way, that the resulting problem can be solved by combining a graph-based reasoning on its equations involving the homomorphisms, with a syntactic reasoning on its pairings. We show HE-unification to be NP-hard and in NEXPTIME.</div>
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