Quantitative Evaluation of Chaotic CBC Mode of Operation

The cipher block chaining (CBC) block cipher mode of operation presents a very popular way of encrypting which is used in various applications. In previous research work, we have mathematically proven that, under some conditions, this mode of operation can admit a chaotic behavior according to Devaney. Proving that CBC mode is chaotic is only the beginning of the study of its security. The next step, which is the purpose of this paper, is to develop the quantitative study of the chaotic CBC mode of operation by evaluating the level of sensibility and expansivity for this mode.Comment: in International Conference on Advanced Technologies for Signal & Images Processing ATSIP'2016 , Mar 2016, Monastir, Tunisi

The dynamics of the CBC Mode of Operation

In cryptography, the Cipher Block Chaining (CBC), one of the most commonly used mode in recent years, is a mode of operation that uses a block cipher to provide confidentiality or authenticity. In our previous research work, we have shown that this mode of operation exhibits, under some conditions, a chaotic behaviour. We have studied this behaviour by evaluating both its level of sensibility and expansivity. In this paper, we intend to deepen the topological study of the CBC mode of operation and evaluate its property of topological mixing. Additionally, other quantitative evaluations are performed, and the level of topological entropy has been evaluated too.Comment: Nonlinearity, IOP Publishing, 2016. arXiv admin note: text overlap with arXiv:1601.0813

Summary of Topological Study of Chaotic CBC Mode of Operation

International audience—In cryptography, block ciphers are the most fundamental elements in many symmetric-key encryp-tion systems. The Cipher Block Chaining, denoted CBC, presents one of the most famous mode of operation that uses a block cipher to provide confidentiality or authenticity. In this research work, we intend to summarize our results that have been detailed in our previous series of articles. The goal of this series has been to obtain a complete topological study of the CBC block cipher mode of operation after proving his chaotic behavior according to the reputed definition of Devaney

Conditions to have a well-disordered dynamics in the CBC Mode of Operation

International audienceIn cryptography, Cipher Block Chaining (CBC) mode of operation presents a very popular way of encryption that is used in numerous applications. In our previous research work, we have been proven that, under some conditions, this mode of operation can exhibit a chaotic behavior according to the reputed definition of Devaney. The quantitative study of this chaotic CBC has been deepened later by evaluating both its level of sensibility and of expansivity. In this paper, our objective is now to further develop the evaluation of the CBC dynamics, by obtaining a complete topological study of this mode of operation. Such an evaluation encompasses both the qualitative property of topological mixing and its level of topological entropy, which is indeed a quantitative measure of disorder