Proving Chaotic Behavior of CBC Mode of Operation

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TitreProving Chaotic Behavior of CBC Mode of Operation
Type de publicationJournal Article
Year of Publication2016
AuteursAbidi A, Wang Q, Bouallegue B, Machhout M, Guyeux C
JournalINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume26
Pagination1650113
Date PublishedJUN 30
Type of ArticleArticle
ISSN0218-1274
Mots-clésBlock cipher, chaos, Cipher Block Chaining, Devaney's chaos, Mode of operation
Résumé

The cipher block chaining (CBC) mode of operation was invented by IBM (International Business Machine) in 1976. It presents a very popular way of encrypting that is used in various applications. In this paper, we have mathematically proven that, under some conditions, the CBC mode of operation can admit a chaotic behavior according to Devaney. Some cases will be properly studied in order to provide evidence for this idea.
DOI10.1142/S0218127416501133