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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 資訊網路與多媒體研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/666
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dc.contributor.advisor吳家麟
dc.contributor.authorCheng-Yi Linen
dc.contributor.author林承億zh_TW
dc.date.accessioned2021-05-11T04:54:31Z-
dc.date.available2020-09-30
dc.date.available2021-05-11T04:54:31Z-
dc.date.copyright2019-08-19
dc.date.issued2019
dc.date.submitted2019-08-13
dc.identifier.citationR. Matthews, “On the derivation of a“chaotic”encryption algorithm,” Cryptologia, vol. 13, pp. 29–42, 1989.
T. M. Hoang and H. X. Thanh, “Cryptanalysis and security improvement for a symmetric color image encryption algorithm,” Optik, vol. 155, pp. 366–383, 2018.
L. Huang, S. Cai, M. Xiao, and X. Xiong, “A simple chaotic map-based image encryption system using both plaintext related permutation and diffusion,” Entropy, vol. 20, no. 7, p. 535, 2018.
V. I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics. Benjamin, 1968.
V. Alvarez, J. M. Amigó, D. Arroyo, and S. Li, Chaos-Based Cryptography. Springer, 2011.
G. Alvarez and S. Li, “Some basic cryptographic requirements for chaos-based cryptosystems,” International Journal of Bifurcation and Chaos, vol. 16, no. 8, pp. 2129–2151, 2006.
H. Liu, Z. Zhu, H. Jiang, and B. Wang, “A novel image encryption algorithm based on improved 3d chaotic cat map,” in The 9th International Conference for Young Computer Scientists, p. 3016–3021, IEEE, 2008.
Y. Wu, “NPCR and UACI randomness tests for image encryption,” Cyber Journals: Journal of Selected Areas in Telecommunications, pp. 31–38, April 2011.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/handle/123456789/666-
dc.description.abstract去年七月,Huang 等人提出了一個基於混沌映射且採用明文關聯置換與擴散之影像加密系統(CIES-UBPRPD)。在CIES-UBPRPD 中,置換與擴散都是與明文產生關連的操作。儘管Huang 等人宣稱CIESUBPRPD有著高度的明文敏感性,我們依然發現其設計上的缺陷使得它無法抵抗選擇明文攻擊。本篇論文分析了CIES-UBPRPD 中的安全缺陷,且提出一種選擇明文攻擊破解它。我們也提供了一種改進過後的加密演算法,克服了CIES-UBPRPD 原先的缺陷。zh_TW
dc.description.abstractRecently, a simple chaotic map-based image encryption system using both plaintext related permutation and diffusion (CIES-UBPRPD) has been proposed by Huang et al. In CIES-UBPRPD, both the permutation operation and the diffusion operation are related to plain images. Despite the claim that CIES-UBPRPD has high plaintext sensitivity, we have found that it still vulnerable to chosen-plaintext attack. In this thesis, we analyze the security flaws of CIES-UBPRPD and propose a chosen-plaintext attack to break it. Furthermore, we present an improved encryption algorithm to remedy those flaws of CIES-UBPRPD.en
dc.description.provenanceMade available in DSpace on 2021-05-11T04:54:31Z (GMT). No. of bitstreams: 1
ntu-108-R06944035-1.pdf: 25326928 bytes, checksum: cb693e7e2f1472b976fc42dadc30f89b (MD5)
Previous issue date: 2019
en
dc.description.tableofcontents口試委員會審定書i
摘要ii
Abstract iii
1 Introduction 1
2 Description of the Original Algorithm 2
2.1 The Preparatory Work 2
2.1.1 Generalized Arnold’s Cat Map 2
2.1.2 Chebyshev Map 3
2.2 Image Encryption Algorithm 3
2.2.1 Permutation Stage 3
2.2.2 Diffusion Stage 4
2.3 Image Decryption Algorithm 5
3 Cryptanalysis 7
3.1 Security Flaws 7
3.1.1 Equivalent Keys Problem 7
3.1.2 Low Sensitivity to the Change of Plaintext 8
3.2 Chosen-Plaintext Attack 9
3.2.1 Extract k1 mod 256,k2 mod 256 and k3 mod 256 10
3.2.2 Extract Diffusion Matrix D 12
3.2.3 Recover the Original Plain Image 13
4 Improved Algorithm 15
4.1 The Weaknesses of CIES-UBPRPD 15
4.2 Secret Key Formulation 16
4.3 Image Encryption Algorithm 16
4.3.1 Permutation Stage 16
4.3.2 Diffusion Stage 17
4.4 Image Decryption Algorithm 18
5 Experimental Results 20
6 Security Analysis 22
6.1 Key Space Analysis 22
6.2 Histogram Analysis 22
6.3 Correlation Analysis 25
6.4 Key Sensitivity Analysis 26
6.5 Plaintext Sensitivity Analysis 26
7 Conclusion and Discussion 30
Bibliography 31
dc.language.isoen
dc.subject影像加密zh_TW
dc.subject渾沌映射zh_TW
dc.subject明文關連zh_TW
dc.subject密碼分析zh_TW
dc.subject選擇明文攻擊zh_TW
dc.subjectChosen-Plaintext Attacken
dc.subjectImage Encryptionen
dc.subjectChaotic Mapen
dc.subjectPlaintext Relateden
dc.subjectCryptanalysisen
dc.title一個基於混沌映射且採用明文關聯置換與擴散之影像加密系統的分析與改進zh_TW
dc.titleCryptanalysis and Improvement of a Simple Chaotic Map-Based Image Encryption System Using Both Plaintext Related Permutation and Diffusionen
dc.date.schoolyear107-2
dc.description.degree碩士
dc.contributor.oralexamcommittee陳文進,歐陽明
dc.subject.keyword影像加密,渾沌映射,明文關連,密碼分析,選擇明文攻擊,zh_TW
dc.subject.keywordImage Encryption,Chaotic Map,Plaintext Related,Cryptanalysis,Chosen-Plaintext Attack,en
dc.relation.page31
dc.identifier.doi10.6342/NTU201903136
dc.rights.note同意授權(全球公開)
dc.date.accepted2019-08-13
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept資訊網路與多媒體研究所zh_TW
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