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 9-B·September 2026·22 ArticlesSpecial Issue

Volume 29, Issue 9-B

Articles

Open Access ·pp. i–vii·Vol. 29, Issue 9-BSep 2026

Foreword of - Special Issue on - Discrete Mathematical Approaches to Modern Cryptography and Secure Authentication

Altaf Osman Mulani

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-29-9-B-Foreword

In this paper: This special issue titled “Discrete Mathematical Approaches to Modern Cryptography and Secure Authentication” brings together a focused collection of research that draws on discrete mathematical struc...

AbstractFull Text PDF (117 KB)Views: 57Downloads: 37Citations: 0
Open Access Research Article·pp. 3503–3512·Vol. 29, Issue 9-BSep 2026

Fuzzy line graphs and their intuitionistic extension : Mathematical properties and applications

Altaf Osman Mulani, Kalyani R. Chaudhari, Vidya Vijay Deshmukh, Nandkishor Narkhede, Vivian Brian Lobo, Pravin Ganpatrao Gawande

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2777

In this paper: Fuzzy line graphs extend the classical line-graph construction so that edge adjacency is recorded as a graded membership value rather than a binary fact, and the resulting construction, together with...

AbstractReferencesFull Text PDF (333 KB)Views: 62Downloads: 50Citations: 0
Open Access Research Article·pp. 3513–3522·Vol. 29, Issue 9-BSep 2026

Hybridized lightweight quantum-contingent cryptographic constructs for fortifying device trust in the expanding IoT perimeter

Manasi Ghamande, Vijaya N. Aher, Gauri V. Ghule, Pallavi D. Deshpande, Ketki Kshirsagar, Sandeep V. Gaikwad

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2778

In this paper: The paper describes a hardened cryptography architecture, which is designed to work with IoT systems, combining lightweight encryption with dynamically adjustable key management schemes. Using the max...

AbstractReferencesFull Text PDF (636 KB)Views: 54Downloads: 33Citations: 0
Open Access Research Article·pp. 3523–3532·Vol. 29, Issue 9-BSep 2026

A lightweight fusion framework for IoT security : Integrating ECC-based authentication, dynamic session tokenization, and rolling hash integrity

Gauri V. Ghule, Pallavi D. Deshpande, Sandeep V. Gaikwad, Ketki Kshirsagar, Manasi Ghamande, Rahul S. Pol

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2780

In this paper: This study presents an in-depth look at lightweight authentication frameworks based on Elliptic Curve Cryptography (ECC) for Internet of Things (IoT) environments, focusing on resource use and strong...

AbstractReferencesFull Text PDF (573 KB)Views: 54Downloads: 35Citations: 0
Open Access Research Article·pp. 3533–3542·Vol. 29, Issue 9-BSep 2026

Spatial omics-informed graph neural networks for metabolic flux estimation in microbial communities

V. Uday Kumar, N. K. Manikandan, C. Kaushik, P. Anusha, Parameshwari M. Goud, L. Pallavi, K. Saranya, Sreelatha Malempati

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2781

In this paper: This research showed a spatial omics integrated Graph Neural Network (GNN) framework for high, resolution metabolic flux estimation across heterogeneous microbial communities using spatially resolved...

AbstractReferencesFull Text PDF (883 KB)Views: 74Downloads: 49Citations: 0
Open Access Research Article·pp. 3543–3552·Vol. 29, Issue 9-BSep 2026

A novel fuzzy graph based cryptographic framework for secure communication in computer and electronic systems using discrete mathematical structures

K. Kishore Kumar, Raghavendra Kulkarni, S. Kayalvizhi, Divya Sharma, S. Pushparani, Yamini Tondepu, Gadi Mounica, Bandla Srinivasa Rao

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2782

In this paper: This paper presents the Fuzzy Graph–Based Cryptographic Framework (FGCF), which couples continuous-valued membership functions from fuzzy graph theory with a discrete finite-field encryption core to y...

AbstractReferencesFull Text PDF (778 KB)Views: 75Downloads: 46Citations: 0
Open Access Research Article·pp. 3553–3562·Vol. 29, Issue 9-BSep 2026

Fuzzy algebraic structure based cryptographic key generation

Pravin Vishnu Shinde, Manoj Patil, Rahul S. Pachade, Vaishali Rane, Altaf Osman Mulani, Manish Rana

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2783

In this paper: This paper introduces the Fuzzy Algebraic Key Generation Scheme (FAKGS), which embeds graded membership functions into the operations of groups and rings, producing key sequences whose structural comp...

AbstractReferencesFull Text PDF (877 KB)Views: 60Downloads: 45Citations: 0
Open Access Research Article·pp. 3563–3572·Vol. 29, Issue 9-BSep 2026

Fuzzy domination in graphs and its applications to cryptographic key generation

Altaf Osman Mulani, S. Jagadeesh, Shweta Sadanand Salunkhe, K. Shivashanker, Pravin Ganpatrao Gawande, Shivam Mahendra Shukla

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2784

In this paper: The theory of domination in graphs has traditionally operated within the binary framework of classical graph theory, wherein a vertex either dominates a neighbour or does not. This paper introduces a...

AbstractReferencesFull Text PDF (578 KB)Views: 58Downloads: 51Citations: 0
Open Access Research Article·pp. 3573–3582·Vol. 29, Issue 9-BSep 2026

Performance evaluation of IoT authentication techniques : Balancing security, efficiency, and scalability

Vijaya N. Aher, Manasi Ghamande, Pallavi D. Deshpande, Gauri V. Ghule, Ketki Kshirsagar, Rahul S. Pol

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2779

In this paper: The uncontrolled growth of Internet of Things (IoT) gadgets have rendered the traditional authentication protocols inadequate, due to the imminent limitation of computer power, latency, and energy usa...

AbstractReferencesFull Text PDF (610 KB)Views: 64Downloads: 37Citations: 0
Open Access Research Article·pp. 3583–3592·Vol. 29, Issue 9-BSep 2026

Fuzzy algebra-based cryptographic key generation models for secure communication systems

Narahari Dudiki, N. Manjunathan, Alahari Hanumat Prasad, S. Revathi, R. N. Ravikumar, Madhavarapu Chandan, V. Balaji, N. S. R. Phanindra Kumar

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2785

In this paper: Traditional key generation algorithms, while mathematically sound, exhibit rigidity when confronted with noisy, uncertain, or biometric input environments. This research proposes a novel Fuzzy Algebra...

AbstractReferencesFull Text PDF (572 KB)Views: 61Downloads: 50Citations: 0
Open Access Research Article·pp. 3593–3602·Vol. 29, Issue 9-BSep 2026

Discrete algebraic channel modeling and information-theoretic security bounds for quantum key distribution protocols

Sivanagireddy Kalli, V. S. J. R. K. Padminivalli, Subrahmanyeswara Rao Seetamraju Venkata Bala, V. Lakshmi Priya, B. Srinivas, M. Tholkapiyan, R. N. Ravikumar, Poranki V. L. R. N. Sai Sudha

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2786

In this paper: Quantum key distribution (QKD) provides information-theoretically secure key exchange whose security is guaranteed by the laws of quantum mechanics. This paper presents a rigorous discrete algebraic c...

AbstractReferencesFull Text PDF (555 KB)Views: 54Downloads: 45Citations: 0
Open Access Research Article·pp. 3603–3611·Vol. 29, Issue 9-BSep 2026

Elliptic curve cryptography based lightweight mutual authentication with zero-knowledge proof for industrial internet of things networks

N. Subbareddy Ramireddy, Kolla Bhanu Prakash

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2787

In this paper: Classical certificate-based mutual authentication schemes impose prohibitive publickey infrastructure management overhead on resource-constrained IIoT sensors, while symmetric key approaches lack scal...

AbstractReferencesFull Text PDF (599 KB)Views: 47Downloads: 37Citations: 0
Open Access Research Article·pp. 3613–3622·Vol. 29, Issue 9-BSep 2026

Algebraic lattice decomposition techniques for AI-assisted security evaluation of cryptographic schemes

S. Dilip Kumar, S. Sivaprakash, P. Iyappan, S. Thamizharasan, Kuruvikulam Chandrasekaran Arun, S. P. Manikandan

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2788

In this paper: The security of lattice-based post-quantum cryptographic schemes depends fundamentally on the hardness of computational problems defined over structured algebraic lattices, including the shortest vect...

AbstractReferencesFull Text PDF (680 KB)Views: 53Downloads: 40Citations: 0
Open Access Research Article·pp. 3623–3632·Vol. 29, Issue 9-BSep 2026

Elliptic curve cryptography based secure multi-party computation over discrete algebraic structures

Mamta S. Koban, Shivaji S. Gadadhe, Deepali Yewale, Krutuja S. Gadgil

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2789

In this paper: Secure multi-party computation (MPC) enables mutually distrusting parties to jointly evaluate a function over their private inputs without revealing those inputs to any participant. Classical MPC cons...

AbstractReferencesFull Text PDF (522 KB)Views: 47Downloads: 41Citations: 0
Open Access Research Article·pp. 3633–3641·Vol. 29, Issue 9-BSep 2026

Finite field algebraic coding theory for enhanced physical layer security in wireless communication networks

Nikhat Parveen, Khair Ul Nisa, Parasa Gayatri, Kovvuri N. Bhargavi, Ponnam Lalitha, Kuruvikulam Chandrasekaran Arun, Moligi Sangeetha, Anumula Sruthi

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2790

In this paper: Physical layer security (PLS) draws on the natural randomness of wireless channels to deliver information-theoretic secrecy that does not depend on computational hardness assumptions. In practice, how...

AbstractReferencesFull Text PDF (527 KB)Views: 58Downloads: 33Citations: 0
Open Access Research Article·pp. 3643–3643·Vol. 29, Issue 9-BSep 2026

Cryptographic framework for secure data transmission in IoT networks using lightweight hybrid encryption

Pallavi D. Deshpande, Gauri V. Ghule, Manasi Ghamande, Ketki Kshirsagar, Sandeep V. Gaikwad, Rahul S. Pol

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2805

In this paper: As the Internet of Things (IoT) continues to grow at an exponential rate, securing the transmission of data among various types of heterogeneous resources with limited capacity has become more challen...

AbstractReferencesFull Text PDF (608 KB)Views: 57Downloads: 38Citations: 0
Open Access Research Article·pp. 3653–3661·Vol. 29, Issue 9-BSep 2026

Discrete algebraic ring signatures on elliptic curves for privacy-preserving blockchain transaction authentication

Ziaul Haque Choudhury, Ruth Ramya Kalangi, K. Koteswara Rao, Premnadh Katkam, Ravi Thavasi Anandam, Ajith Sundaram, W. T. Chembian, I. Athal

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2806

In this paper: Blockchain-based financial systems must balance two competing needs: the transparency that lets anyone verify the public ledger, and the privacy needed to stop transactions from being tied to real-wor...

AbstractReferencesFull Text PDF (472 KB)Views: 64Downloads: 50Citations: 0
Open Access Research Article·pp. 3663–3672·Vol. 29, Issue 9-BSep 2026

Homomorphic encryption over polynomial rings for privacy-preserving healthcare data analytics in cloud environments

N. Krishnaveni, B. Surya Samantha, Parasa Gayathri, Siva Shankar Subramanian, Veeraswamy Ammisetty, D. Saranya, Venkateswara Rao Gera, T. M. Amirthalakshmi

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2807

In this paper: Cloud-based healthcare analytics platforms process sensitive patient data — electronic health records, genomic sequences, diagnostic imaging metadata — under contractual and regulatory obligations req...

AbstractReferencesFull Text PDF (552 KB)Views: 71Downloads: 51Citations: 0
Open Access Research Article·pp. 3673–3682·Vol. 29, Issue 9-BSep 2026

Chromatic graph coloring-based minimum-key distribution for secure wireless sensor networks

Mamta S. Koban, Shilpa Khedkar, Deepali Yewale, Shivaji S. Gadadhe

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2808

In this paper: Key distribution in wireless sensor networks (WSN) faces the conflicting requirements of minimizing the number of distinct keys stored per node while ensuring that adjacent nodes sharing the same key...

AbstractReferencesFull Text PDF (479 KB)Views: 50Downloads: 60Citations: 0
Open Access Research Article·pp. 3683–3692·Vol. 29, Issue 9-BSep 2026

A mathematical hybrid lattice–elliptic curve encryption model for lightweight IoT security

K. Shirisha, T. Venkata Satya Vivek, Ruth Ramya Kalangi, R. Sarath Babu, M. Manimaran, D. Vetrithangam, V. Vinitha, Diana George

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2809

In this paper: Conventional public-key cryptosystems such as RSA and standard elliptic curve cryptography (ECC), although widely deployed, remain vulnerable to quantum adversaries and incur prohibitive computational...

AbstractReferencesFull Text PDF (525 KB)Views: 72Downloads: 52Citations: 0
Open Access Research Article·pp. 3693–3702·Vol. 29, Issue 9-BSep 2026

Discrete graph spectral framework for dynamic malware detection in software-defined networks

S. Sivaprakash, S. Dilip Kumar, S. Thamizharasan, P. Iyappan, W. T. Chembian, K. Sony

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2810

In this paper: This paper proposes a novel Graph Neural Network-based Dynamic Malware (GNNDM) detection system that models network traffic and system call sequences as time-evolving attributed graphs, enabling the c...

AbstractReferencesFull Text PDF (547 KB)Views: 62Downloads: 42Citations: 0
Open Access Research Article·pp. 3703–3712·Vol. 29, Issue 9-BSep 2026

Graph-theoretic zero-knowledge authentication scheme for decentralized identity management

Sreenivas Mekala, Kandadai Bhargavi, Ravi Thavasi Anandam, Akanksha Kulkarni, G. Manikandan, T. M. Amirthalakshmi, T. Sunilkumar Reddy, V. Balaji

Published Online: 30 Sep 2026DOI: 10.47974/JDMSC-2897

In this paper: Classical zero-knowledge proof (ZKP) constructions such as zk-SNARKs and STARKs impose significant prover computation overhead and circuit compilation complexity that limits their accessibility for re...

AbstractReferencesFull Text PDF (599 KB)Views: 72Downloads: 51Citations: 0