Cryptanalysis of randomized arithmetic codes based on markov model

Liang Zhao, Takashi Nishide, Avishek Adhikari, Kyung Hyune Rhee, Kouichi Sakurai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An improvement of arithmetic coding based on Markov model () has been proposed in the paper (Duan L.L., Liao X. F., Xiang T., Communications in Nonlinear Science and Numerical Simulation, 2011, 16(6):2554-2562). Though, a methodology to construct the is proposed in the above mentioned paper, it really lacks the formal definition of the. In the current paper, we not only investigate the security analysis of the, but also put forward formal definitions of the as well as its different security notions. Based on those definitions, a chosen-plaintext attack is proposed to reveal the used pseudorandom bit sequence for the encryption under the condition that the same pseudorandom bit sequence is used to encrypt the different messages. We also show that the does not have indistinguishable encryptions under the ciphertext-only attack (i.e., does not have indistinguishable encryptions in the presence of an eavesdropper) even if the different pseudorandom bit sequences are used to encrypt the different messages. Moreover, when the is combined with the randomized arithmetic code () (Grangetto M., Magli E., Olmo G., IEEE Trans. Multimedia, 2006 8(5):905-917), we also explore the insecurity of this combined encryption scheme. The analysis demonstrates that the + is also insecure. Finally, the simulated experimental results show the correctness of all the proposed attacks.

Original languageEnglish
Title of host publicationInformation Security and Cryptology - 7th International Conference, Inscrypt 2011, Revised Selected Papers
EditorsChuan-Kun Wu, Dongdai Lin, Moti Yung
PublisherSpringer Verlag
Pages341-362
Number of pages22
ISBN (Print)9783642347030
DOIs
Publication statusPublished - 2012
Event7th China International Conference on Information Security and Cryptography, Inscrypt 2011 - Beijing, China
Duration: Nov 30 2011Dec 3 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7537 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other7th China International Conference on Information Security and Cryptography, Inscrypt 2011
Country/TerritoryChina
CityBeijing
Period11/30/1112/3/11

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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