{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T13:50:35Z","timestamp":1762005035576},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,6,30]]},"abstract":"<jats:p> In this paper, the security performance for an 8D self-synchronous and feedback-based chaotic stream cipher with the low 8 bits of state variables for encryption is analyzed. According to known-plaintext attack and divide-and-conquer attack, only the second plain-pixel and its corresponding cipher-pixel are required to decipher the secret keys [Formula: see text] [Formula: see text] by properly setting 64 different kinds of initial conditions. Then, according to chosen-ciphertext attack and divide-and-conquer attack, it is found that under the condition of selecting the ciphertext as zero, the original chaotic equation is degenerated as a linear one. So, by setting appropriate initial conditions, the secret keys [Formula: see text] [Formula: see text] can be deciphered with only four iterative operations. As for the secret keys [Formula: see text] [Formula: see text] multiplied by ciphertext and the secret keys [Formula: see text] [Formula: see text] related to nonlinear functions, maybe a more powerful attack method is required for these secret keys to be deciphered. Finally, an improved chaotic stream cipher scheme equipped with the low 8 bits derived from nonlinear operation of multiple state variables for encryption is proposed for improving the ability to resist divide-and-conquer attack and chosen-ciphertext attack. <\/jats:p>","DOI":"10.1142\/s0218127418500864","type":"journal-article","created":{"date-parts":[[2018,7,17]],"date-time":"2018-07-17T08:26:51Z","timestamp":1531816011000},"page":"1850086","source":"Crossref","is-referenced-by-count":21,"title":["Cryptanalysis of a Chaotic Stream Cipher and Its Improved Scheme"],"prefix":"10.1142","volume":"28","author":[{"given":"Zhuosheng","family":"Lin","sequence":"first","affiliation":[{"name":"College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China"}]},{"given":"Simin","family":"Yu","sequence":"additional","affiliation":[{"name":"College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China"}]},{"given":"Xiutao","family":"Feng","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China"}]},{"given":"Jinhu","family":"L\u00fc","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, State Key Laboratory of Software Development Environment, and Beijing Advanced Innovation Center for Big Data, and Brain Computing, Beihang University, Beijing 100191, P. R. China"},{"name":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. 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