Cryptanalysis of some self-synchronous chaotic stream ciphers and their improved schemes

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Chen, Baoju and Yu, Simin and Li, David Day-Uei and Lü, Jinhu (2021) Cryptanalysis of some self-synchronous chaotic stream ciphers and their improved schemes. International Journal of Bifurcation and Chaos, 31 (8). 2150142. ISSN 0218-1274 (https://doi.org/10.1142/S021812742150142X)

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Abstract

In this paper, a cryptanalysis method that combines a chosen-ciphertext attack with a divide-and-conquer attack by traversing multiple non-zero component initial conditions (DCA- TMNCIC) is proposed. The method is used for security analysis of n-D (n=3,4,5,6,7,8) self- synchronous chaotic stream ciphers that employ a product of two chaotic variables and three chaotic variables (n-D SCSC-2 and n-D SCSC-3), taking 3-D SCSC-2 as a typical example for cryptanalysis. For resisting the combinational effect of the chosen-ciphertext attack and DCA- TMNCIC, several improved chaotic cipher schemes are designed, including 3-D SCSC based on a nonlinear nominal system (3-D SCSC-NNS) and n-D SCSC based on sinusoidal modulation (n-D SCSC-SM (n=3,4,5,6,7,8)). Theoretical security analysis validates the improved schemes.

ORCID iDs

Chen, Baoju, Yu, Simin, Li, David Day-Uei ORCID logoORCID: https://orcid.org/0000-0002-6401-4263 and Lü, Jinhu;
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