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Selection of optimal encryption algorithm based on hesitant bipolar complex fuzzy frank aggregation operators

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING 2025年第2期71卷 1361-1395页

作者： Mahmood, Tahir Waqas, Hafiz Muhammad Rehman, Ubaid ur Int Islamic Univ Islamabad Dept Math & Stat Islamabad Pakistan SK Res Oxford Business Coll Oxford OX1 2EP England Univ Management & Technol Dept Math C II Johar Town Lahore 54700 Punjab Pakistan

A mathematical procedure known as an encryption algorithm is used to convert plaintext into ciphertext and protect sensitive data during transmission or storage. Its primary goals include preventing unauthorized access to data, maintaining privacy and security, and enabling safe communication over untrusted networks. Sensitive data is greatly secured by encryption techniques in a variety of industries, including communications, finance, and healthcare. There are some mathematical frameworks or techniques that are necessary to select the best encryption algorithm. The main tool for handling the process of choosing the best encryption algorithm is the theory we provide in this manuscript. Any observation about any object can have two aspects, one is positive and the other is negative. Thus, such kind of aspects of any object may be resolved by the proposed theory. Furthermore, we address the best encryption technique in this work by introducing a few aggregation operators in the context of HBCFSs. We introduce here, hesitant bipolar complex fuzzy Frank (HBCFF) weighted averaging, HBCFF ordered weighted averaging, HBCFF hybrid averaging, HBCFF weighted geometric, HBCFF ordered weighted geometric, and HBCFF hybrid geometric operators. Moreover, we discuss the multi-attribute decision-making (MADM) approaches for solving supposed encryption algorithm problems within the context of HBCFSs. The success of our work is discussed by a comparison of our newly proposed work with a few existing and related ideas. Moreover, at last, we conclude our work. Furthermore, we address the use of MADM techniques in the context of HBCFSs to solve supposed encryption algorithm problems. We compare our freshly proposed work with some existing concepts to discuss the success of our effort. Finally, we discuss the conclusion of the whole manuscript.

关键词： encryption algorithm Frank operators MADM process

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Image authentication and encryption algorithm based on RSA cryptosystem and chaotic maps

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EXPERT SYSTEMS WITH APPLICATIONS 2025年 274卷

作者： Singh, Deep Kumar, Sandeep Cent Univ Punjab Dept Math & Stat Bathinda 151401 India

In the era of today's open network communication, security issues of private data over these networks are at their peak, and it is challenging to secure data transmission. Therefore, to overcome these security crises, cryptographers need to develop efficient and robust encryption algorithms. This article proposes a new multilayer image ciphering scheme along with a modified authentication technique for grayscale and color images by using the RSA public key cryptosystem and two chaotic maps. The chaotic key sequences generated through a 2D piecewise smooth non-linear chaotic map (2D-PSNCM) are utilized to perform permutation of rows and columns to enhance the level of confusion. Also, bitwise XOR is applied to fulfill an intricate level of diffusion. To decrease the correlation and to strengthen the security level, the scrambling of pixels is created by using a suitable number of iterations of the Baker map. For authenticity purposes, the modified digital signature is proposed by using the RSA public key cryptosystem for partially encrypted images. The proposed digital signature is employed for further encryption purposes as well. The scheme provides multilayer security and is well-protected against different brute-force attacks. The secret keys and their arrangement in each layer of encryption are imperative for the correct decryption. The proposed algorithm's robustness and efficiency are verified using multiple RGB and grayscale images. Security analysis demonstrates the validation by comparing it with some recent cryptographic image encryption algorithms. These results show the proposed algorithm's robustness, such as vast sizeable keyspace, very low correlation coefficient, high sensitivity for keys, and good information entropy. Altogether, this proves the high efficiency of the proposed algorithm in resisting statistical attacks.

关键词： Image security encryption algorithm RSA Baker map Digital signature Confusion-diffusion Authenticity

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encryption algorithm Based on New Composite Chaos Dynamics System

Encryption Algorithm Based on New Composite Chaos Dynamics S...

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3rd International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2007)

作者： Tong Xiao-Jun Cui Ming-Gen Harbin Inst Technol Sch Comp Sci & Engn Weihai 264209 Peoples R China Harbin Inst Technol Coll Sci Weihai 264209 Peoples R China

ISBN: (纸本)9781424413119

Chaos defined in general in quantitative characteristics is not a strict definition In this paper two new chaos functions are proposed and theoretical proof about chaos is finished based on a strict Devaney definition. Using composite chaotic system character, a composite chaos sequences cipher algorithm is designed, which map have uniform distribution function and delta-like self-correlation, and can produce balance nature series to 0-1 after quantified. The unchanged probability of composite chaos makes ciphertext has a good random. As the sensitivity to initial condition and random nature to iterative function choice, key and plaintext and ciphertext form complex and sensitive nonlinear relations, and the correlation is very small. The leaking of ciphertext to key and plaintext information can effectively be prevented. The experimental result show that the system has a very high safety and the key space is expanded.

关键词： Composite chaos nonlinear dynamics system encryption algorithm Devaney definition

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3D point cloud encryption algorithm based on hybrid key and spatial maintenance

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JOURNAL OF INFORMATION SECURITY AND APPLICATIONS 2024年 87卷

作者： Li, Xusheng Li, Jinqing Di, Xiaoqiang Guan, Hongmei Zhang, Mingao Gao, Mengli Ibrahim, Makram Changchun Univ Sci & Technol Sch Comp Sci & Technol Satellite Rd 7089 Changchun 130033 Jilin Peoples R China Changchun Univ Sci & Technol Jilin Prov Key Lab Network & Informat Secur Satellite Rd 7089 Changchun 130033 Jilin Peoples R China Changchun Univ Sci & Technol Chongqing Res Inst Chongqing 401135 Peoples R China Changchun Univ Sci & Technol Informat Ctr Satellite Rd 7089 Changchun 130022 Jilin Peoples R China Natl Res Inst Astron & Geophys Helwan 11421 Cairo Egypt

With the development of LiDAR technology, 3D point cloud data have a rich information-carrying capacity and environmental perception capabilities, have been widely applied infields such as the Internet of Vehicles(IoV) and smart homes. However, the privacy and sensitive content contained within them faces significant security risks. To address these challenges, we propose a selective encryption scheme for 3D point cloud based on hybrid key with spatial maintenance. Firstly, a new SH-CCM map is introduced, which exhibits excellent sensitivity to initial conditions, randomness, and unpredictability. Secondly, a hybrid key generation scheme is designed, where the hybrid key is composed of an agreement session key and a user's private key. Then, a spatial maintenance encryption method is designed using the proposed chaotic map to maintain the spatial stability of the selected regions during encryption, preventing data confusion and loss that could arise from overlap with adjacent point clouds in the encrypted domain. Finally, the security and robustness of this method are verified through simulation experiments and numerical analysis, demonstrating high encryption efficiency and effective resistance against known plaintext/chosen plaintext attacks, differential attacks, brute force attacks, and other statistical analysis attacks.

关键词： 3D point cloud SH-CCM map Space maintenance encryption algorithm Hybrid key

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The EEG signals encryption algorithm with K-sine-transform-based coupling chaotic system

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INFORMATION SCIENCES 2023年第1期622卷 962-984页

作者： Wen, Dong Jiao, Wenlong Li, Xiaoling Wan, Xianglong Zhou, Yanhong Dong, Xianling Lan, Xifa Han, Wei Univ Sci & Technol Beijing Sch Intelligence Sci & Technol 30Xueyuan Rd Beijing 100083 Peoples R China Univ Sci & Technol Beijing Inst Artificial Intelligence 30Xueyuan Rd Beijing 100083 Peoples R China Yanshan Univ Sch Informat Sci & Engn Key Lab Comp Virtual Technol & Syst Integrat Hebei 438Hebei Ave Qinhuangdao 066004 Hebei Peoples R China Hebei Normal Univ Sci & Technol Sch Math & Informat Sci & Technol 360Hebei St Qinhuangdao 066004 Hebei Peoples R China Chengde Med Univ Dept Biomed Engn Anyuan Rd Chengde 067000 Hebei Peoples R China First Hosp Qinhuangdao Dept Neurol 258Wenhua Rd Qinhuangdao 066002 Hebei Peoples R China

Telemedicine provides remote online services for digital diagnosis and treatment via the Internet. However, there is a risk of data leakage during transmission. Therefore, data protection is an important challenge for telemedicine. Chaos is widely used in image, audio, and EEG encryption because of its unique characteristics of unpredictability, nonlinearity, and sensitivity to an initial state. However, some chaotic maps have various security issues. To solve these problems, this paper proposes a K-sine-transform-based coupled chaotic system (K-STBCCS), combining any two one-dimensional chaotic mappings to generate a new chaos mapping. To demonstrate the reliability of the system, this paper generates three new chaotic mappings using K-STBCCS and analyzes their performance. Using the chaotic mapping generated by K-STBCCS, this paper further proposes an EEG signal encryption scheme based on the confusion-diffusion principle. The purpose of confusion is to separate adjacent EEG signals, while the purpose of diffusion is to change the value of EEG signals. Among them, the diffusion operation uses positive and negative diffusion to reduce the correlation between the ciphertext and the original signals. The experimental results and security analysis show that the proposed EEG signal encryption scheme performs well and passes the rigorous cryptographic security test.(c) 2022 Elsevier Inc. All rights reserved.

关键词： K-sine-transform-based coupling chaotic system EEG signals encryption algorithm

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An efficient pixel-level chaotic image encryption algorithm (vol 94, pg 745, 2018)

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NONLINEAR DYNAMICS 2018年第4期94卷 3155-3155页

作者： Ye, Guodong Pan, Chen Huang, Xiaoling Mei, Qixiang Guangdong Ocean Univ Fac Math & Comp Sci Zhanjiang 524088 Peoples R China Zhejiang Univ Coll Informat Sci & Elect Engn Hangzhou 310027 Zhejiang Peoples R China

In this paper, a new and efficient pixel-level image encryption algorithm is presented. In contrast to the traditional permutation-diffusion architecture, the proposed method enhances the connection between position shuffling for pixels and value changing for grayness. As a result, the separate attack becomes more difficult when attacking our structure of permutation-rewriting-diffusion (PRD). Before the diffusion operation, a rewriting function is applied to the permuted image in a simple way, which can be seen as a remedy for permutation’s inability to change the frequency of pixels. Moreover, the keystream is designed dependent upon the plain-image. Therefore, the proposed method can disturb the chosen plain-image and known plain-image attacks. Experimental results together with security analysis also show good efficiency of the PRD mechanism. Compared to some bit-level-based image encryption algorithms, our method shows increased faster speed and satisfies the performance requirements of real-time communication.

关键词： PRD Pixel-level Chaotic map encryption algorithm Security

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Multiple Digital Image encryption algorithm Based on Chaos algorithm

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MOBILE NETWORKS & APPLICATIONS 2022年第4期27卷 1349-1358页

作者： Zhang, Ying He, Yi Zhang, Jing Liu, Xiaobo Guizhou Power Grid Corp Elect Power Res Inst Guiyang 550002 Peoples R China Guizhou Univ Elect Engn Coll Guiyang 550025 Peoples R China Wuhan Nanrui Co Ltd State Grid Elect Power Res Inst Wuhan 430074 Peoples R China

In this study, a multiple digital image encryption algorithm based on chaos algorithm is presented. The cyclic matrix is constructed by logical mapping, and sparse transformation of plaintext image is realized by discrete cosine transform (DCT). The gray image of DCT is measured, and several digital images are merged. Lorenz chaotic system and logistic map are adopted to generate chaotic key sequence related to plaintext image features, replace pixel value, scramble pixel position, diffuse image, and finally obtain ciphertext image. It encrypts many kinds of digital images. The proposed encryption algorithm has excellent image encryption effect and high security.

关键词： Chaotic algorithm Discrete cosine transform encryption algorithm Logistic chaotic map Lorenz chaotic system Chaotic key sequence Ciphertext image

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An efficient self-adaptive model for chaotic image encryption algorithm

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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 2014年第12期19卷 4094-4104页

作者： Huang, Xiaoling Ye, Guodong Guangdong Ocean Univ Coll Sci Zhanjiang 524088 Guangdong Peoples R China City Univ Hong Kong Dept Elect Engn Kowloon Tong Hong Kong Peoples R China

In this paper, an efficient self-adaptive model for chaotic image encryption algorithm is proposed. With the help of the classical structure of permutation-diffusion and double simple two-dimensional chaotic systems, an efficient and fast encryption algorithm is designed. However, different from most of the existing methods which are found insecure upon chosen-plaintext or known-plaintext attack in the process of permutation or diffusion, the keystream generated in both operations of our method is dependent on the plain-image. Therefore, different plain-images will have different keystreams in both processes even just only a bit is changed in the plain-image. This design can solve the problem of fixed chaotic sequence produced by the same initial conditions but for different images. Moreover, the operation speed is high because complex mathematical methods, such as Runge-Kutta method, of solving the high-dimensional partial differential equations are avoided. Numerical experiments show that the proposed self-adaptive method can well resist against chosen-plaintext and known-plaintext attacks, and has high security and efficiency. (C) 2014 Elsevier B.V. All rights reserved.

关键词： encryption algorithm Self-adaptive method Permutation Chaotic systems

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Security enhancement of a phase-truncation based image encryption algorithm

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APPLIED OPTICS 2011年第36期50卷 6645-6651页

作者： Wang, Xiaogang Zhao, Daomu Zhejiang A&F Univ Sch Sci Linan 311300 Peoples R China Zhejiang Univ Dept Phys Hangzhou 310027 Peoples R China

The asymmetric cryptosystem, which is based on phase-truncated Fourier transforms (PTFTs), can break the linearity of conventional systems. However, it has been proven to be vulnerable to a specific attack based on iterative Fourier transforms when the two random phase masks are used as public keys to encrypt different plaintexts. An improvement from the asymmetric cryptosystem may be taken by relocating the amplitude values in the output plane. In this paper, two different methods are adopted to realize the amplitude modulation of the output image. The first one is to extend the PTFT-based asymmetrical cryptosystem into the anamorphic fractional Fourier transform domain directly, and the second is to add an amplitude mask in the Fourier plane of the encryption scheme. Some numerical simulations are presented to prove the good performance of the proposed cryptosystems. (C) 2011 Optical Society of America

关键词： Fourier plane encryption algorithm Amplitude mask Security Enhancement Image Fourier Transform cryptography amplitude modulation Public key Linearity

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A White-Box encryption algorithm for Computing with Mobile Agents

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JOURNAL OF INTERNET TECHNOLOGY 2011年第6期12卷 981-993页

作者： Shi, Yang Lin, Jie Zhang, Cheng Fudan Univ Sch Management Shanghai Peoples R China Tongji Univ Sch Software Engn Shanghai Peoples R China Tongji Univ Sch Econ & Management Shanghai Peoples R China

A white-box encryption algorithm is proposed for computing using a mobile agent protected with time-limited black box security. Block matrix multiplication on finite fields and secure addition with randomly generated input and output transformation generates a set of tables that hide the key. Thus, the algorithm is a countermeasure against the threat that could compromise the key in a white-box attack context and provides secure data encryption by computing with encrypted functions. The size of implementation of this algorithm is small and suitable for migrating from one host to another as a part of a mobile agent.

关键词： encryption algorithm White-Box Mobile agent

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