Cryptanalytic time-memory-data tradeoffs for FX-constructions with applications to PRINCE and PRIDE

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10 Scopus citations

Abstract

The FX-construction was proposed in 1996 by Kilian and Rogaway as a generalization of the DESX scheme. The construction increases the security of an n-bit core block cipher with a κ-bit key by using two additional n-bit masking keys. Recently, several concrete instances of the FX-construction were proposed, including PRINCE (proposed at Asiacrypt 2012) and PRIDE (proposed at CRYPTO 2014). These ciphers have n = κ = 64, and are proven to guarantee about 127 − d bits of security, assuming that their core ciphers are ideal, and the adversary can obtain at most 2d data. In this paper, we devise new cryptanalytic time-memory-data tradeoff attacks on FX-constructions. While our attacks do not contradict the security proof of PRINCE and PRIDE, nor pose an immediate threat to their users, some specific choices of tradeoff parameters demonstrate that the security margin of the ciphers against practical attacks is smaller than expected. Our techniques combine a special form of time-memorydata tradeoffs, typically applied to stream ciphers, with recent analysis of FX-constructions by Fouque, Joux and Mavromati.

Original languageEnglish
Title of host publicationAdvances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
EditorsMarc Fischlin, Elisabeth Oswald
PublisherSpringer Verlag
Pages231-253
Number of pages23
ISBN (Print)9783662467992
DOIs
StatePublished - 1 Jan 2015
Externally publishedYes
Event34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015 - Sofia, Bulgaria
Duration: 26 Apr 201530 Apr 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9056
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015
Country/TerritoryBulgaria
CitySofia
Period26/04/1530/04/15

Keywords

  • Block cipher
  • Cryptanalysis
  • DESX
  • FX-construction
  • PRIDE
  • PRINCE
  • Time-memory-data tradeoff

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