TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Volume 29·Issue 8·August 2026·30 ArticlesSpecial Issue

Volume 29, Issue 8

Articles

Open Access ·pp. 1–8·Vol. 29, Issue 8Aug 2026

Special Issue on Advances in Computational Security and Cryptographic Technologies through Artificial Intelligence, Machine Learning, and Multimedia Analytics

Priya Mathur, Amit Kumar Gupta, Carlos M. Travieso-Gonzalez

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-29-8-Foreword

In this paper: This special issue titled “Advances in Computational Security and Cryptographic Technologies through Artificial Intelligence, Machine Learning, and Multimedia Analytics” presents a collection of high-...

AbstractFull Text PDF (123 KB)Views: 140Downloads: 90Citations: 0
Open Access Research Article·pp. 2989–2999·Vol. 29, Issue 8Aug 2026

Some explorations on odd-even graceful labeling of graphs

Sushree Shradhanjali Dash, Amiya Kumar Behera, Debi Prasad Bhatta, Deepak Acharya

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2636

In this paper: Among the vast branches of mathematics, graph theory plays a vital role in applied mathematics and scientific computing. Graph labeling is one of the most prominent areas of graph theory. There exist...

AbstractReferencesFull Text PDF (710 KB)Views: 79Downloads: 59Citations: 0
Open Access Research Article·pp. 3001–3009·Vol. 29, Issue 8Aug 2026

P4-assisted context-aware encryption framework for secure packet transmission in active SDN networks

Prashant Vats, Sandeep Kumar Budhani, Surabhi Shanker, Devesh Kumar Srivastava, Madan Lal Saini, Ashok Kumar Saini

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2637

In this paper: The rapid evolution of Software-Defined Networking (SDN) has transformed modern communication systems by enabling centralized and adaptive control of data flows. However, the increasing dynamism of SD...

AbstractReferencesFull Text PDF (620 KB)Views: 87Downloads: 65Citations: 0
Open Access Research Article·pp. 3011–3025·Vol. 29, Issue 8Aug 2026

Soft rings based on soft binary operations

Yohannes Taye Jemberie, Berhanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis, Samuel Asefa Fufa, Durga Prasad Sharma

Published Online: 13 Jul 2026DOI: 10.47974/JDMSC-2638

In this paper: This paper aims to study soft rings using the concept of soft binary operations as a quadruple (ℜ, *, △, P) involving of a non-empty set R and soft binary operations (*, P) and (△, P) satisfying all t...

AbstractReferencesFull Text PDF (572 KB)Views: 127Downloads: 62Citations: 0
Open Access Research Article·pp. 3027–3036·Vol. 29, Issue 8Aug 2026

Trust-aware ad hoc network security using random bit operations and RC4 stream cipher framework

Prashant Vats, Naveen Tewari, Surabhi Shanker, Devesh Kumar Srivastava, Madan Lal Saini, Ashok Kumar Saini

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2639

In this paper: In dynamic and decentralized environments such as ad hoc networks, ensuring secure communication and mutual trust among nodes presents a significant challenge due to the absence of centralized control...

AbstractReferencesFull Text PDF (560 KB)Views: 61Downloads: 47Citations: 0
Open Access Research Article·pp. 3037–3049·Vol. 29, Issue 8Aug 2026

Different classes of graceful coronas and their second kind

Bijayani Pattanaik, Amiya Kumar Behera, Chapala Bohidar, Biswadarsi Biswal

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2640

In this paper: A graph labeling assigns integer to the components of a graph (vertices, edges, or both), adhering to specific conditions. Let G be a graph with q edges. Then the graceful labeling is defined as a one...

AbstractReferencesFull Text PDF (409 KB)Views: 64Downloads: 43Citations: 0
Open Access Research Article·pp. 3051–3064·Vol. 29, Issue 8Aug 2026

Enhancing network security with graph theory through identification of critical nodes and vulnerabilities

Y. M. Manjunath, H. L. Parashivamurthy, S. Girish Babu, G. Manjunath

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2690

In this paper: The concept of network security is on the increase in the digital era and cyber threats have increasingly become more advanced and sophisticated. This study examines the research of finding critical n...

AbstractReferencesFull Text PDF (527 KB)Views: 77Downloads: 42Citations: 0
Open Access Research Article·pp. 3065–3073·Vol. 29, Issue 8Aug 2026

A Module-LWE driven post-quantum security model for 6G networks using discrete mathematical cryptography

Arun Kumar, Venkatachalam Revathi, Jayanta Kumar Baruah, Prashanta Chandra Pradhan, Aziz Nanthaamornphong

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2691

In this paper: The advent of 6G communication introduces extreme performance requirements, including sub-millisecond latency, high reliability, and massive connectivity. These demands, combined with the threat posed...

AbstractReferencesFull Text PDF (589 KB)Views: 70Downloads: 40Citations: 0
Open Access Research Article·pp. 3075–3084·Vol. 29, Issue 8Aug 2026

Hybrid discrete mathematical and deep learning techniques for nextgeneration cryptographic protocols

Shikha Khullar, Rakesh Kumar Saxena, Abhijit Pandit, Vaishali Biradar, Monalisa Sahu

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2692

In this paper: This paper involves designing a hybrid cryptography protocol to synthesize the application of discrete modeling in mathematics, and the security and efficiency of the next-generation cryptography prot...

AbstractReferencesFull Text PDF (658 KB)Views: 88Downloads: 32Citations: 0
Open Access Research Article·pp. 3085–3093·Vol. 29, Issue 8Aug 2026

Discrete mathematical modeling–driven machine learning framework for secure encrypted DDoS attack detection in cloud and edge computing

Manmohan Sharma, Anudeep Arora, Priya Mathur, Saloni Bhushan, Amit Kumar Gupta

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2693

In this paper: Distributed denial-of-service (DDoS) attacks causes significant threats in modern cloud and edge computing because of complex traffic patterns that intricate attack detection. Traditional methods have...

AbstractReferencesFull Text PDF (658 KB)Views: 76Downloads: 43Citations: 0
Open Access Research Article·pp. 3095–3106·Vol. 29, Issue 8Aug 2026

An approach for IoT graph modeling for handling smart city services

Amit Bansal, Siddhartha Sankar Biswas, Md. Tabrez Nafis, Suraiya Parveen, Parul Agarwal, Mohd Abdul Ahad

Published Online: 08 Aug 2026DOI: 10.47974/JDMSC-2694

In this paper: The Internet of Things (IoT) has laid the foundation for smart cities by allowing devices to work in synergy through focused automation. Nonetheless, most procedures available today are missing a holi...

AbstractReferencesFull Text PDF (327 KB)Views: 165Downloads: 97Citations: 0
Open Access Research Article·pp. 3107–3116·Vol. 29, Issue 8Aug 2026

Secure wireless communication in 5G networks using optimized cryptographic algorithms

Surbhi Sharma, Gian Devi, Preeti Rathi, Nisha Soms, Sheeja Pon Chakravarthy, Prashant Vats

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2695

In this paper: The widespread rollout of fifth-generation (5G) wireless systems has delivered extremely low latency, extensive device interconnectivity, and enhanced data transmission rates. However, it has also int...

AbstractReferencesFull Text PDF (521 KB)Views: 51Downloads: 43Citations: 0
Open Access Research Article·pp. 3117–3125·Vol. 29, Issue 8Aug 2026

Design and analysis of a discrete mathematical model for secure and encrypted dynamic sharding in blockchain systems

Satpal Singh Kushwaha, Sushanth Chandra Addimulam, Manoj Kumar Rawat, S. Sridevi, Ajit Noonia

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2696

In this paper: Blockchain sharding enhances scalability by dividing the network and ledger into parallel-processing shards, but dynamic sharding introduces security risks, especially under adaptive adversarial attac...

AbstractReferencesFull Text PDF (510 KB)Views: 59Downloads: 37Citations: 0
Open Access Research Article·pp. 3127–3136·Vol. 29, Issue 8Aug 2026

Data privacy and security in the future data-driven healthcare ecosystem : Cryptographic approaches, challenges, and open research issues

Aziz Nanthaamornphong, Arun Kumar, Venkatachalam Revathi, Nishant Gaur

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2697

In this paper: Future healthcare systems are increasingly influenced by data-driven technologies that support intelligent, efficient, and patient-focused medical services. This paper provides a comprehensive review...

AbstractReferencesFull Text PDF (210 KB)Views: 68Downloads: 47Citations: 0
Open Access Research Article·pp. 3137–3147·Vol. 29, Issue 8Aug 2026

A discrete mathematical framework for network intrusion detection with applications to cryptographic network security

Ajay Kumar, Amit Kumar Gupta, Priya Mathur, Chaitanya Singh, Vipin Tiwari

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2698

In this paper: As computer networks expand, robust Intrusion Detection Systems (IDS) are crucial. Traditional methods struggle with zero-day attacks and lack interpretability. This study uses the NSL-KDD dataset and...

AbstractReferencesFull Text PDF (688 KB)Views: 59Downloads: 37Citations: 0
Open Access Research Article·pp. 3149–3158·Vol. 29, Issue 8Aug 2026

Encryption-assisted reversible data hiding using median prediction and grayscale invariance for high-security image systems

Ajay Kumar, Manmohan Sharma, Abhishek Singh Rathore, Sushma Ghode, Vipin Tiwari

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2699

In this paper: Ensuring data security and privacy is essential when transmitting sensitive visual information over insecure networks. Reversible Data Hiding (RDH) enables confidential data embedding in digital image...

AbstractReferencesFull Text PDF (735 KB)Views: 56Downloads: 42Citations: 0
Open Access Research Article·pp. 3159–3166·Vol. 29, Issue 8Aug 2026

Design of ECC-based secure communication protocols over discrete mathematical structures for 6G WSNs

Sushama, Shuchita Vaidya, Ashok Kumar Saini, Madan Lal Saini, Jyoti Yadav, Prashant Vats

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2700

In this paper: This paper presents the design of an ECC-based secure communication protocol built on discrete mathematical structures for 6G Wireless Sensor Networks (WSNs). The framework leverages optimized ellipti...

AbstractReferencesFull Text PDF (510 KB)Views: 65Downloads: 42Citations: 0
Open Access Research Article·pp. 3167–3176·Vol. 29, Issue 8Aug 2026

Lightweight elliptic curve cryptography for SDN-managed secure communication in 6G wireless sensor networks

Ashok Kumar Saini, Manoj Wadhwa, Richa Rawal, Sanat Jain, Reenu Batra, Prashant Vats

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2744

In this paper: Sixth-generation (6G) wireless communication is anticipated to support massive sensor connectivity, real-time intelligence, and ultra-reliable services, thereby intensifying security requirements in W...

AbstractReferencesFull Text PDF (599 KB)Views: 54Downloads: 34Citations: 0
Open Access Research Article·pp. 3177–3195·Vol. 29, Issue 8Aug 2026

Dynamic entropy-based lightweight security architecture integrating ECC signcryption and zero trust for interoperable healthcare systems

Rutuja Sanyog Pharande, Basant Tiwari, Sachin Bhoite

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2745

In this paper: Interoperable healthcare IT systems are leveraged upon 5G enabled interacted IoMT devices and database servers, yet most existing security frameworks still rely on static keys that cannot cope with ar...

AbstractReferencesFull Text PDF (791 KB)Views: 55Downloads: 33Citations: 0
Open Access Research Article·pp. 3197–3205·Vol. 29, Issue 8Aug 2026

A cryptography-oriented reversible data hiding scheme using median prediction and grayscale invariance for secure image steganography

Manmohan Sharma, Priti Sharma, Preeti Rathi, Sandeep Kumar, Vibha Soni, Prashant Vats

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2746

In this paper: Reversible data hiding in encrypted images (RDH-EI) has emerged as a critical paradigm for high-security image systems, where both data confidentiality and lossless image recovery are mandatory. This...

AbstractReferencesFull Text PDF (466 KB)Views: 50Downloads: 38Citations: 0
Open Access Research Article·pp. 3207–3217·Vol. 29, Issue 8Aug 2026

Cryptographic and discrete approaches to IoT cybersecurity : A risk management and security analysis

Ashish Tiwari, Shivani Gupta, Archana Sandhu, P. S. G. Aruna Sri, Harwant Singh Arri, Manmohan Sharma

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2747

In this paper: Internet of Things (IoT) systems have experienced tremendous growth in all spheres of life that require a high level of security like smart cities, health, industrial automation, and smart transportat...

AbstractReferencesFull Text PDF (648 KB)Views: 79Downloads: 38Citations: 0
Open Access Research Article·pp. 3219–3227·Vol. 29, Issue 8Aug 2026

Security analysis of cryptographic Boolean functions using a discrete mathematical model and machine learning

Priya Mathur, Kusum Lata Jain, Meenakshi Nawal, Neeraj, Amit Kumar Gupta

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2748

In this paper: Cryptographic security of symmetric primitives relies on the discrete mathematical properties of Boolean functions and S-boxes. While machine learning (ML) has shown effectiveness in cryptanalysis, ma...

AbstractReferencesFull Text PDF (570 KB)Views: 56Downloads: 41Citations: 0
Open Access Research Article·pp. 3229–3237·Vol. 29, Issue 8Aug 2026

Cipher cell-based information-theoretic encryption over 6G channels

Devershi Pallavi Bhatt, Prashant Vats, Sumegh Tharewal, Swapnil P. Goje, Ranjeeta Kaur Popli, Surbhi Sharma

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2749

In this paper: Sixth-generation networks demand robust security under extreme data rates, massive connectivity, and ultra-low latency. Conventional cryptographic methods based on computational assumptions may be ins...

AbstractReferencesFull Text PDF (738 KB)Views: 49Downloads: 46Citations: 0
Open Access Research Article·pp. 3239–3248·Vol. 29, Issue 8Aug 2026

Mathematical modeling and security analysis of a lightweight cryptographic encryption algorithm for resource-constrained IoT devices

Ramesh Kumar, Satya Narayan, Shashank Tripathi, Ashish Kumar Singh, Gagandeep Berar

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2811

In this paper: This potential has sparked significant interest across industries and in academic circles. IoT evolving into a versatile utility, offering advanced capabilities in sensing, acting, communicating, cont...

AbstractReferencesFull Text PDF (568 KB)Views: 102Downloads: 69Citations: 0
Open Access Research Article·pp. 3249–3257·Vol. 29, Issue 8Aug 2026

Spectral security analysis of cryptographic Boolean functions using discrete mathematical modelling and machine learning

Priya Mathur, Pradeep Gupta, K. Nandhini, Lipika Goel, Satpal Singh Kushwaha, Amit Kumar Gupta

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2812

In this paper: This study investigates how the structural and spectral properties of Boolean functions influence their susceptibility to machine learning–based cryptanalysis. A comprehensive framework is proposed, c...

AbstractReferencesFull Text PDF (626 KB)Views: 128Downloads: 41Citations: 0
Open Access Research Article·pp. 3259–3268·Vol. 29, Issue 8Aug 2026

An efficient watermark-driven steganographic framework for secure multimedia communication

Sanjay Kumar, Man Mohan Shukla, Ajay Kumar Phogat, Sanat Jain, Reenu Batra, Prashant Vats

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2813

In this paper: Secure multimedia communication over open networks requires techniques that ensure confidentiality while concealing the existence of hidden data. This paper proposes an efficient watermark-driven steg...

AbstractReferencesFull Text PDF (544 KB)Views: 73Downloads: 51Citations: 0
Open Access Research Article·pp. 3269–3277·Vol. 29, Issue 8Aug 2026

Cryptanalysis-resistant SDN architecture for dynamic traffic management using applied algebra and elliptic curve cryptography for secure tenant isolation

Ashok Kumar Saini, Vikas Thada, Sanat Jain, Swati, Raghav Mehra, Prashant Vats, Saneh Lata Yadav

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2814

In this paper: Software-Defined Networking (SDN) security is enhanced using algebraic structures and elliptic curve cryptography for secure, scalable, multi-tenant communication. The model ensures robust key exchang...

AbstractReferencesFull Text PDF (469 KB)Views: 87Downloads: 40Citations: 0
Open Access Research Article·pp. 3279–3294·Vol. 29, Issue 8Aug 2026

A graph-theoretic discrete mathematical model for cryptanalysis of classical ciphers using spectral transition network analysis

Priya Mathur, Amit Kumar Gupta

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2815

In this paper: Cryptanalysis plays an essential role in evaluating the robustness and reliability of cryptographic systems used for secure communication. Traditional cryptanalysis methods primarily rely on statistic...

AbstractReferencesFull Text PDF (607 KB)Views: 51Downloads: 29Citations: 0
Open Access Research Article·pp. 3295–3303·Vol. 29, Issue 8Aug 2026

Secure data acquisition in web crawlers using steganographically watermarked images

Ashok Kumar Saini, Madhu Chauhan, Sandeep Kumar Budhani, Anshu Malhotra, Madan Lal Saini, Prashant Vats

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2816

In this paper: This paper proposes a secure web crawling framework using steganographically watermarked images. It embeds instructions covertly while ensuring authentication through watermarking. The approach provid...

AbstractReferencesFull Text PDF (515 KB)Views: 60Downloads: 42Citations: 0
Open Access Research Article·pp. 3305–3313·Vol. 29, Issue 8Aug 2026

A discrete graph-theoretic spectral framework for analyzing classical cipher security

Priya Mathur

Published Online: 14 Aug 2026DOI: 10.47974/JDMSC-2817

In this paper: This paper proposes a spectral graph-theoretic framework for cryptanalysis using Cipher Transition Graphs (CTGs) and metrics such as eigenvalues, spectral gap, entropy, clustering, and path length. Re...

AbstractReferencesFull Text PDF (755 KB)Views: 44Downloads: 32Citations: 0