Some Chaos Notions on Dendrites

Fadel, Asmaa; Dzul-Kifli, Syahida Che

doi:10.3390/sym11101309

Cited by 2 publications

(1 citation statement)

References 24 publications

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“…Banks et al have proven that when f is regular and transitive on a metric space (X , d), then f has the property of sensitive dependence on initial conditions. This is why chaos can be formulated too in a topological space (X , τ ): in that situation, chaos is obtained when f is regular and topologically transitive [11]. Note that the transitivity property is often obtained as a consequence of the strong transitivity one, which is defined below.…”

Section: A Proving Of Chaotic Behavior Of Rc5-cbc Block Ciphermentioning

confidence: 99%

Statistical Analysis and Security Evaluation of Chaotic RC5-CBC Symmetric Key Block Cipher Algorithm

Abidi

Sghaier

Bakiri

et al. 2019

IJACSA

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In some previous research works, it has been theoretically proven that RC5-CBC encryption algorithm behaves as a Devaney topological chaos dynamical system. This unpredictable behavior has been experimentally illustrated through such sensitivity tests analyses encompassing the avalanche effect phenomenon evaluation. In this paper, which is an extension of our previous work, we aim to prove that RC5 algorithm can guarantee a much better level of security and randomness while behaving chaotically, namely when embedded with CBC mode of encryption. To do this, we have began by evaluating the quality of such images encrypted under chaotic RC5-CBC symmetric key encryption algorithm. Then, we have presented the synthesis results of an hardware architecture that implements this chaotic algorithm in FPGA circuits.

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Section: A Proving Of Chaotic Behavior Of Rc5-cbc Block Ciphermentioning

confidence: 99%