Chosen-ciphertext security via correlated products

Alon Rosen*, Gil Segev

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

110 Scopus citations


We initiate the study of one-wayness under correlated products. We are interested in identifying necessary and sufficient conditions for a function f and a distribution on inputs (x 1, ⋯, x k ), so that the function (f(x 1), ⋯, f(x k )) is one-way. The main motivation of this study is the construction of public-key encryption schemes that are secure against chosen-ciphertext attacks (CCA). We show that any collection of injective trapdoor functions that is secure under a very natural correlated product can be used to construct a CCA-secure encryption scheme. The construction is simple, black-box, and admits a direct proof of security. We provide evidence that security under correlated products is achievable by demonstrating that lossy trapdoor functions (Peikert and Waters, STOC '08) yield injective trapdoor functions that are secure under the above mentioned correlated product. Although we currently base security under correlated products on existing constructions of lossy trapdoor functions, we argue that the former notion is potentially weaker as a general assumption. Specifically, there is no fully-black-box construction of lossy trapdoor functions from trapdoor functions that are secure under correlated products.

Original languageAmerican English
Title of host publicationTheory of Cryptography - 6th Theory of Cryptography Conference, TCC 2009, Proceedings
Number of pages18
StatePublished - 2009
Externally publishedYes
Event6th Theory of Cryptography Conference, TCC 2009 - San Francisco, CA, United States
Duration: 15 Mar 200917 Mar 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5444 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference6th Theory of Cryptography Conference, TCC 2009
Country/TerritoryUnited States
CitySan Francisco, CA


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