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Cryptanalysis of a Chaotic Stream Cipher and Its Improved Scheme
Lin, Zhuosheng1; Yu, Simin1; Feng, Xiutao2; Lu, Jinhu3,4,5
2018-06-30
Source PublicationINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN0218-1274
Volume28Issue:7Pages:27
AbstractIn 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 (a) over cap (1i), (a) over cap (2i), (a) over cap (3i) (i = 1, 2, ... , 8) 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 (a) over cap (4i), (a) over cap (5i), (a) over cap (6i), (a) over cap (7i), (a) over cap (8i) (i = 4, 5, 6, 7, 8) can be deciphered with only four iterative operations. As for the secret keys a(4i), a(5i), a(6i), a(7i), a(8i) (i = 1, 2, 3) multiplied by ciphertext and the secret keys sigma(i), epsilon(i) (i = 1, 2, 3) 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.
KeywordChaotic stream cipher divide-and-conquer attack chosen-ciphertext attack improved chaotic encryption algorithm
DOI10.1142/S0218127418500864
Language英语
Funding ProjectNational Key Research and Development Program of China[2016YFB0800401] ; National Natural Science Foundation of China[61532020] ; National Natural Science Foundation of China[61671161] ; National Natural Science Foundation of China[61572491] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[61621003] ; Science and Technology Planning Project of Guangzhou[201510010136]
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000439096400009
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33419
Collection系统科学研究所
Corresponding AuthorFeng, Xiutao
Affiliation1.Guangdong Univ Technol, Coll Automat, Guangzhou 510006, Guangdong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
3.Beihang Univ, Sch Automat Sci & Elect Engn, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
4.Beihang Univ, Beijing Adv Innovat Ctr Big Data & Brain Comp, Beijing 100191, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Lin, Zhuosheng,Yu, Simin,Feng, Xiutao,et al. Cryptanalysis of a Chaotic Stream Cipher and Its Improved Scheme[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2018,28(7):27.
APA Lin, Zhuosheng,Yu, Simin,Feng, Xiutao,&Lu, Jinhu.(2018).Cryptanalysis of a Chaotic Stream Cipher and Its Improved Scheme.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,28(7),27.
MLA Lin, Zhuosheng,et al."Cryptanalysis of a Chaotic Stream Cipher and Its Improved Scheme".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 28.7(2018):27.
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