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A Study of Cryptographic algorithms on Special Linear Group Over Ring of Integers Modulo m

IEEE ACCESS 2025年 13卷 5606-5617页

作者： Lipinski, Zbigniew Mizera-Pietraszko, Jolanta Tancula, Jolanta Univ Opole Dept Math Phys & Comp Sci PL-45052 Opole Poland Mil Univ Land Forces Dept Res Methodol PL-51147 Wroclaw Poland

Despite the development of numerous cryptographic algorithms over the last decade to ensure greater security for the users, the cyberattack forms are still advancing, which creates a challenge for the research community to build more efficient infrastructure. It motivates us to design more advanced algorithms based on a set of matrices that form a group under matrix multiplication, meaning they satisfy the group axioms of closure, associativity, identity, and irreversibility. Specifically, this study explores the application of three cryptographic algorithms on a special linear group of matrices over a ring of integers modulo m. The first algorithm relies on the rsa key exchange algorithm, which we modify to a special linear group. The second is an asymmetric rsa variant of a cryptographic algorithm defined on the co-adjoint orbit of element K belonging to a special linear group. All matrices from the orbit of matrix K have the same order and can be easily encrypted and decrypted by a pair of secret asymmetric cryptographic keys. We apply the Kronecker product of non-Abelian groups to construct an energy-efficient cryptographic algorithm with possible application on sensor networks. Due to the multiplicative property of the Kronecker product, both the encryption and decryption can be performed in parallel over the matrices of low degree. The third one is another rsa variant of a symmetric cryptographic algorithm, which can be encoded with a special linear group to significantly increase its complexity at the stage of non-negative matrix factorization. To encrypt a given set of numbers, we write it in a matrix form with a secret sequence of generators. As a result, the decryption relies on solving a simple system of nonlinear equations. Security of the algorithm lies in its complexity, aimed at building a correct sequence of generators necessary for encryption.

关键词： Cryptography Security Encryption Generators Symmetric matrices Protocols Digital signatures Computational efficiency Complexity theory Cloud computing rsa algorithm non-Abelian cryptography cryptography on matrix groups

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Fuzzy logic and CPSO-optimized key management for secure communication in decentralized IoT networks: A lightweight solution

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PEER-TO-PEER NETWORKING AND APPLICATIONS 2024年第5期17卷 2979-2997页

作者： Vellingiri, J. Vedhavathy, T. R. Pandi, S. Senthil Subramanian, C. Bala Vellore Inst Technol Sch Comp Sci Engn & Informat Syst Dept Softwae & Syst Engn Vellore Tamil Nadu India SRM Inst Sci & Technol Sch Comp Dept Networking & Commun Chennai 603203 India Rajalakshmi Engn Coll Dept Comp Sci & Engn Chennai Tamil Nadu India Kalasalingam Acad Res & Educ Dept Comp Sci Engn Anand Nagar Krishnankoil Tamil Nadu India

The act of implementing specific measures to ensure the security of cryptographic keys within an organization is referred to as key management. Securing communication in a decentralized IoT network presents many challenges due to the abundance of devices and the dynamic nature of the network. For this purpose, A Decentralized lightweight group key management (DLGKM) system is proposed in this paper, that leverages fuzzy logic and Crossover boosted Particle Swarm Optimization (CPSO) named FLCPSO-KM to enhance decisions and settle disputes in IoT environments. DLGKM system uses fuzzy logic and CPSO in decision-making and dispute resolution, this allows for qualitative and quantitative optimization, leading to reliable outcomes. The system provides a lightweight and effective solution for secure communication in a decentralized IoT network. It employs a Crossover-boosted particle swarm optimization (PSO) algorithm for secure key revocation from unauthorized devices, ensuring the security of the network and resources. Overall, the proposed DLGKM system provides an effective and efficient solution for secure communication in a decentralized IoT network. The advantages of utilizing fuzzy logic and CPSO in the system include enhanced decision-making and the ability to solve key revocation issues, thus minimizing communication and computational overheads. The proposed approach was compared to existing approaches such as Blockchain-Based Distributed Key Management Architecture (BDKMA), Cognitive Key Management Technique (CKMT), Healthcare Key Management Approach (HCKM), and Hash-Based Key Management Mechanism (AHKM) based on metrics such as security, encryption and decryption time, computational time, throughput, and fitness value. The proposed approach achieved greater efficiency with 98.7% security, encryption, and decryption time of 0.2 s and 0.3 s, throughput of 250 bits per second, and fitness values ranging from 0 to 1 respectively.

关键词： Crossover boosted Particle Swarm Optimization Decentralized lightweight group key management Fuzzy logic Internet of Things rsa algorithm

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CYBERGUARD: A FORTIFIED MESSAGE AUTHENTICATION PROTOCOL WITH DIGITAL SIGNATURES IN NS-2 SIMULATION ENVIRONMENT

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SCALABLE COMPUTING-PRACTICE AND EXPERIENCE 2025年第1期26卷 114-122页

作者： Kumar, Prashant Sethi, Dimple Shrivastava, Gulshan Srivastava, Neeraj Bennett Univ SCSET Times Grp Plot 8-11TechZone 2 Greater Noida 201310 Uttar Pradesh India Agra Coll Dept Math Agra 282001 Uttar Pradesh India

Delving into the dynamic realm of communication networks, the Network Simulator-2 (NS-2) emerges as a versatile, object-oriented, and event-driven mirror, analysing the intricacies of computer network. NS-2, an open-source, is a strong tool for protocol innovation that supports numerous routing protocols designed for both wired and wireless networks in addition to the TCP/IP protocol suite. However, the security frontier has remained a latent challenge amidst its diverse protocol array. This research defiantly explores the security void in NS-2 and presents a novel solution by adding a state-of-the-art security module. Elevating NS-2's prowess, this module seamlessly integrates message integrity and sender authentication features, injecting a muchneeded security boost. We meticulously detail the inner workings of the security modules, the innovative processes deployed, and the simulation and implementation intricacies within NS-2. The limelight is on the propagation of sender authentication protocols and the embodiment of message integrity in wired communication networks. Network Animator steps onto the stage to make the simulation journey more vivid, providing an engaging visual narrative. At its core, this module strives to democratize the integration of Digital Signature features, carving a path toward a more secure NS-2 landscape. This paper augments NS-2's resilience and charts new territories in the dynamic intersection of communication networks and cutting-edge security protocols.

关键词： Network Simulator-2 Decryption/Encryption Integrity of Message Sender Authentication Asymmetric Key Cryptography Network Layer Security rsa algorithm

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Comment on "An enhanced and secured rsa public cryptosystem algorithm using Chinese remainder theorem (ESRPKC)"

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INFORMATION PROCESSING LETTERS 2022年 177卷

作者： Luy, Erkam Karatas, Zekeriya Y. Ciftci, Olcay Erciyes Univ Kayseri Turkey Univ Cincinnati Blue Ash Coll Blue Ash OH 45236 USA Auburn Univ Auburn AL 36849 USA

In [1], Kumar et al. proposed an enhanced and secured rsa public key cryptosystem (ESRPKC) algorithm using Chinese remainder theorem. In their scheme, the public key is defined as (N, e, mu) where N is the product of four distinct large prime numbers, e is a public exponent, and mu is a parameter called encryption key to encrypt the message. Compared to the traditional rsa cryptosystem, the authors used the extra parameter mu, and claimed that security increased due to this extra parameter. They claimed that it is required to use a brute force attack to break the system even if the number N is factorized by an adversary to obtain the private parameters k(1) and k(2) which are components of mu. The authors claimed that ESRPKC is a highly secure and not easily breakable scheme compared to the traditional rsa *** this paper, we do a cryptanalysis on Kumar et al.'s scheme given in [1] and demonstrate some major security weaknesses. We prove that if N is factorized, there is no need to use brute force to break the system. Additionally, choosing four prime numbers instead of two prime numbers decreases the security significantly and only increases the computation time. Therefore, the proposed system (ESRPKC) is not as efficient as the traditional rsa algorithm. (c) 2022 Elsevier B.V. All rights reserved.

关键词： ESRPKC algorithm Cryptanalysis rsa algorithm Public key Private key Encryption

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Modified Adhoc On-Demand Distance Vector for Trust Evaluation And Attack Detection

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Intelligent Automation & Soft Computing 2023年第5期36卷 1227-1240页

作者： S.Soundararajan B.R.Tapas Bapu C.Kotteeswaran S.Venkatasubramanian P.J.Sathish Kumar Ahmed Mudassar Ali Anna University Chennai600025Tamil NaduIndia S.A.Engineering College VeeraraghavapChennai600077Tamil NaduIndia Saranathan College of Engineering Trichy620019Tamil NaduIndia Panimalar Engineering College Chennai600069TamilnaduIndia

Recently,Wireless Sensor Network(WSN)becomes most potential technologies for providing improved services to several data gathering and track-ing *** of the wireless medium,multi-hop communication,absence of physical protectivity,and accumulated trafﬁc,WSN is highly vulner-able to security ***,this study explores a speciﬁc type of DoS attack identiﬁed as a selective forwarding attack where the misbehaving node in the network drops packet on a selective *** is challenging to determine if packet loss is caused by a collision in the medium access path,poor channel quality,or a selective forwarding *** misbehaving nodes at the earliest opportunity is an acceptable solution for performing secure routing in such *** a result,in this study effort,we present a unique Modiﬁed Ad Hoc On-Demand Distance Vector(AODV)Routing protocol depending upon the One time password(OTP)method that employs the rsa ***,a trust evaluation process determines which approach is the most ***-ing to the simulationﬁndings of the suggested routing protocol and comparison with existing routing protocols provided in this article,the proposed work is both efﬁcient and cost-effective.

关键词： Wireless sensor network selective forward attack one time password trust evaluation rsa algorithm

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Med-tech device security through advanced server cryptography

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International Journal of Information Technology (Singapore) 2025年第2期17卷 1015-1022页

作者： Sharan, Preeta Yasmeen, M.S. Nagesh, N. Parimi, Pranav Chetan, V. Roy, Sandip Kumar Department of Electronics and Communication (R & D) The Oxford College of Engineering Bangalore India Department of Electronics and Communication Engineering The Oxford College of Engineering Bangalore India Department of Computer Science Engineering Amrita Vishwa Vidyapeetham Bangalore India Research and Development The Oxford College of Engineering Bangalore India S P Jain School of Global Management Dubai United Arab Emirates

To protect secrecy without compromising data, the study outlines a strong security framework for communications between mobile devices and servers and recommends encryption as the best option. Traditional encryption techniques are not immediately transferable due to the limitations of e-health data, including its size, redundancy, and bandwidth especially when patient data is moving across public networks. Patient privacy may be compromised as a result of this security flaw. Strong encryption measures must be put in place in the healthcare industry to combat this and ensure that confidential patient data may only be retrieved securely and by authorised personnel, protecting data integrity and privacy. To strengthen communication in the healthcare industry, the study presents a new, simplified encryption and decryption technique. We carefully examine, evaluate, and then benchmark this technique against accepted encryption standards. © Bharati Vidyapeeth's Institute of Computer Applications and Management 2024.

关键词： Data Security Healthcare device security rsa algorithm Secured communication

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A Secure Method for Data Storage and Transmission in Sustainable Cloud Computing

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Computers, Materials & Continua 2023年第5期75卷 2741-2757页

作者： Muhammad Usman Sana Zhanli Li Tayybah Kiren Hannan Bin Liaqat Shahid Naseem Atif Saeed College of Computer Science and Technology Xi’an University of Science and TechnologyXi’anShaanxi710054China Department of Computer Science(RCET Campus) University of Engineering and TechnologyLahore39161Pakistan Department of Information Sciences Division of Science&TechnologyUniversity of EducationLahore54700Pakistan Department of Computer Science COMSATS UniversityIslamabadLahore54700Pakistan

Cloud computing is a technology that provides secure storage space for the customer’s massive data and gives them the facility to retrieve and transmit their data efficiently through a secure network in which encryption and decryption algorithms are being *** cloud computation,data processing,storage,and transmission can be done through laptops andmobile *** Storing in cloud facilities is expanding each day and data is the most significant asset of *** important concern with the transmission of information to the cloud is security because there is no perceivability of the client’s *** have to be dependent on cloud service providers for assurance of the platform’s *** security and privacy issues reduce the progression of cloud computing and add ***;most of the data that is stored on cloud servers is in the form of images and photographs,which is a very confidential form of data that requires secured *** this research work,a public key cryptosystem is being implemented to store,retrieve and transmit information in cloud computation through a modified Rivest-Shamir-Adleman(rsa)algorithm for the encryption and decryption of *** implementation of a modified rsa algorithm results guaranteed the security of data in the cloud *** enhance the user data security level,a neural network is used for user authentication and ***;the proposed technique develops the performance of detection as a loss function of the bounding *** Faster Region-Based Convolutional Neural Network(Faster R-CNN)gets trained on images to identify authorized users with an accuracy of 99.9%on training.

关键词： Cloud computing data security rsa algorithm Faster R-CNN

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Developing Web-Based Application for QR Code Digital Signatures using OpenSSL 26

Developing Web-Based Application for QR Code Digital Signatu...

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26th International Electronics Symposium (IES) on Shaping the Future - Society 5.0 and Beyond

作者： Muzakkir, Fariz Bagaskoro Darwito, Haryadi Amran Yuliana, Mike Politekn Elekt Negeri Surabaya Dept Elect Engn Surabaya Indonesia

ISBN: (纸本)9798350392005;9798350391992

Despite advancements in technology, many work-related activities still require signature verification. Digital signature technology offers a suitable solution that can be implemented through information technology. This research presents the development of a digital signature application utilizing hash functions using SHA-256 to generate digital signature tokens while OpenSSL is used to create valid digital signatures that start with generating a key pair. The application features automatic conversion of the generated tokens into QR codes, simplifying the verification process. It is developed using custom core system classes within the CodeIgniter framework. The implementation of these custom core system classes has yielded positive results. This application is designed to facilitate the secure and efficient authorization of document signing. Testing revealed that digital signature generation took under 0.0210 seconds, while file uploads varied from 0.0655 to 0.0851 seconds for file sizes ranging from 100 KB to 1000 KB. Additionally, user authentication testing ensured prompt delivery of OTPs via email and robust resistance to Man-in-the-Middle attacks, demonstrating secure transmission of login data over HTTPS. The analysis affirmed signature integrity, authenticity, and QR code verification efficiency, ensuring secure and efficient document signing authorization.

关键词： digital signature hash QR code rsa algorithm SHA-256 OpenSSL

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A hybrid algorithm-based optimization protocol to ensure data security in the cloud

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International Journal of Information Technology (Singapore) 2024年第5期16卷 3057-3064页

作者： Zubair, Swaleha Ahmed, Haitham M. A. Department of Computer Science Aligarh Muslim University UP Aligarh India

Cloud computing security involves the procedures, technologies, and policies that protect data, applications, and resources in cloud computing environments. As communities increasingly rely on cloud services for computing requirements, protecting their data's security and privacy becomes critical to retain confidence and safeguard against possible attacks. Consequently, many researchers are interested in the security and privacy of computerised data. The present study aims to devise a protocol for data safety during its storage and dissemination. We developed a hybrid algorithm for data protection during the process. The highlights of the as-proposed approach include (1) Secured information input in the cloud;(2) Protected response to the information within such a manner that the data integrity is maintained. (3) Correct use and distribution of the public, private, and secret keys used in the encryption/decryption procedures. These keys consist of a public key, which may be used to encrypt data, a private key, which can be used for decrypting data, and a secret key, which can be used for authenticating users. The proposed solution can potentially speed up data transmission between the user and the cloud storage while preventing the unsolicited user from breaching the system. © 2023, The Author(s), under exclusive licence to Bharati Vidyapeeth's Institute of Computer Applications and Management.

关键词： AES algorithm Authentication Cloud Decryption Private key Public key rsa algorithm Secret key

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The quantum computer for accelerating image processing and strengthening the security of information systems

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CHINESE JOURNAL OF PHYSICS 2023年 81卷 104-124页

作者： Nouioua, Tarek Belbachir, Ahmed Hafid Univ Tebessa Fac Exact Sci & Sci Nat & life Dept Math & Comp Sci Tebessa Algeria Univ Sci & Technol Oran Mohamed Boudiaf Fac Phys Engn Phys Dept Lab Anal & Applicat Radiat LAAR Bir El Djir Algeria

Many researchers and laboratories have been involved for many years in the development of the quantum computer. In 2019, Google has announced that they have reached quantum supremacy with their quantum computer Sycamore using a 53 qubits processor. On November 2021, IBM also announced that they have built a quantum computer with the highest number of 127 qubits and revealed their ambitious goal of building a 1000 qubits processor by 2023. According to these two giants of the quantum computing field, such a machine can perform an astronomical quantity of calculations significantly faster than any other conventional computer. This technology could be a real revolution in many fields such as computing, artificial intelligence, medicine, chemistry, banking, and experimental techniques, ... etc. Since this technology is still in its infancy in hardware and software, its progress may be slow. However, many working in the field predict that 2,000 to 5,000 quantum computers of a first generation will be operational by 2030, but quantum computers needed to deal with more complex problems may not exist until 2035 or *** this paper, we will go over some of the basic aspects of a quantum computer, in particular the concept of the qubit or the quantum bit and the quantum computer itself. Then we will see how a quantum computer can effectively speed up the processing of large images, reduce the amount of memory needed for computation and storage and even, strengthen the security of information systems. Lastly, we will present and discuss a real hardware implementation of the well-known quantum edge detection, as well as a spy hunter simulation.

关键词： Quantum computer Quantum physics Quantum image processing Quantum edge detection rsa algorithm Information security Post-quantum-cryptography

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