Unification Modulo Homomorphic Encryption
Identifieur interne : 000961 ( Istex/Curation ); précédent : 000960; suivant : 000962Unification Modulo Homomorphic Encryption
Auteurs : Siva Anantharaman [France] ; Hai Lin [États-Unis] ; Christopher Lynch [États-Unis] ; Paliath Narendran [États-Unis] ; Michaël Rusinowitch [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
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.
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DOI: 10.1007/978-3-642-04222-5_6
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<front><div type="abstract" xml:lang="en">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.</div>
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