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Bounded KDM Security from iO and OWF

  • Antonio MarcedoneEmail author
  • Rafael Pass
  • Abhi Shelat
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9841)

Abstract

To date, all constructions in the standard model (i.e., without random oracles) of Bounded Key-Dependent Message (KDM) secure (or even just circularly-secure) encryption schemes rely on specific assumptions (LWE, DDH, QR or DCR); all of these assumptions are known to imply the existence of collision-resistant hash functions. In this work, we demonstrate the existence of bounded KDM secure encryption assuming indistinguishability obfuscation for P / poly and just one-way functions. Relying on the recent result of Asharov and Segev (STOC’15), this yields the first construction of a Bounded KDM secure (or even circularly secure) encryption scheme from an assumption that provably does not imply collision-resistant hash functions w.r.t. black-box constructions. Combining this with prior constructions, we show how to augment this Bounded KDM scheme into a Bounded CCA2-KDM scheme.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Cornell UniversityIthacaUSA
  2. 2.Northeastern UniversityBostonUSA

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