Robust Distributed Reprogramming Protocol of Wireless Sensor Networks for Healthcare Systems by Kuo-Yu Tsai

“…In this paper, we propose a robust distributed reprogramming protocol of WSNs for healthcare systems, in which the security requirements are proved to be secure based on the elliptic curve discrete logarithm problem, such as existential unforgeability of signature for code image, authenticity of code image, freshness, and node compromised tolerance.…”
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Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach by Sourav Mondal, Muhammad Imran, Nilanjan De, Anita Pal

“…Graphs containing finite commutative rings have wide applications in robotics, information and communication theory, elliptic curve cryptography, physics, and statistics. …”
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Breaking the Blockchain Trilemma: A Comprehensive Consensus Mechanism for Ensuring Security, Scalability, and Decentralization by Khandakar Md Shafin, Saha Reno

“…Employing established techniques such as elliptic curve cryptography, Schnorr verifiable random function, and zero-knowledge proof (zk-SNARK), alongside groundbreaking methodologies for stake distribution, anomaly detection, and incentive alignment, our framework sets a new benchmark for secure, scalable, and decentralized blockchain ecosystems. …”
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A Novel Memcapacitor Model and Its Application for Image Encryption Algorithm by Nan Li, Junwei Sun, Yanfeng Wang

“…Furthermore, the elliptic curve with the hyperchaotic sequence is used to construct the Hill encryption matrix, and the plaintext image is permuted and encrypted. …”
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An Anonymous Authentication Scheme in VANETs of Smart City Based on Certificateless Group Signature by Yuanpan Zheng, Guangyu Chen, Liguan Guo

“…In this scheme, it can implement the process of adding, signing, verifying, and revoking group members only by simple multiplication of the elliptic curve and synchronization factor technology, which shortens the length of the signature and improves the efficiency of the signature. …”
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An Efficient Multiparty Threshold ECDSA Protocol against Malicious Adversaries for Blockchain-Based LLMs by Jing Wang, Xue Yuan, Yingjie Xu, Yudi Zhang

“…To address these requirements, we propose a threshold elliptic curve digital signature algorithm that counters malicious adversaries in environments with three or more participants. …”
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Provably-Secure (Chinese Government) SM2 and Simplified SM2 Key Exchange Protocols by Ang Yang, Junghyun Nam, Moonseong Kim, Kim-Kwang Raymond Choo

“…In this paper, we prove the security of the SM2 protocol in the widely accepted indistinguishability-based Bellare-Rogaway model under the elliptic curve discrete logarithm problem (ECDLP) assumption. …”
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Security and Market Liquidity Enhanced Transactive Energy System for Residential End Users by Vanga Anil, S. L. Arun

“…In order to address these issues, this study proposes an integrated approach combining elliptic curve digital signatures with hash functions for data integrity and authentication, Paillier cryptography for confidentiality, and calibrated noise for privacy preservation. …”
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EAP-Based Group Authentication and Key Agreement Protocol for Machine-Type Communications by Rong Jiang, Chengzhe Lai, Jun Luo, Xiaoping Wang, Hong Wang

“…In this paper, we propose a group authentication and key agreement protocol, called EG-AKA, for machine-type communications combining elliptic curve Diffie-Hellman (ECDH) based on EAP framework. …”
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Angle and Context Free Grammar Based Precarious Node Detection and Secure Data Transmission in MANETs by Anitha Veerasamy, Srinivasa Rao Madane, K. Sivakumar, Audithan Sivaraman

“…Another mechanism proposed in this paper, Angle and Context Free Grammar (ACFG) based precarious node elimination and secure communication in MANETs, intends to secure data transmission and detect precarious nodes in a MANET at a comparatively lower cost. The Elliptic Curve function is used to isolate a malicious node, thereby incorporating secure data transfer. …”
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Adaptable Security in Wireless Sensor Networks by Using Reconfigurable ECC Hardware Coprocessors by J. Portilla, A. Otero, E. de la Torre, T. Riesgo, O. Stecklina, S. Peter, P. Langendörfer

“…In order to avoid dependencies on a compromised level of security, a WSN node with a microcontroller and a Field Programmable Gate Array (FPGA) is used along this work to implement a state-of-the art solution based on ECC (Elliptic Curve Cryptography). In this paper it is described how the reconfiguration possibilities of the system can be used to adapt ECC parameters in order to increase or reduce the security level depending on the application scenario or the energy budget. …”
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Anonymous Authentication and Key Agreement Scheme Combining the Group Key for Vehicular Ad Hoc Networks by Mei Sun, Yuyan Guo, Dongbing Zhang, MingMing Jiang

“…In this study, an anonymous authentication and key negotiation scheme by using private key and group key is proposed, which is based on pseudonym using the nonsingular elliptic curve. In this scheme, there is no third party trust center to participate in the authentication, there is no need to query the database, and there is no need of the local database to save the identity information of many vehicles, which reduce the storage space and the authentication time compared with other schemes. …”
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Aggregation Scheme with Secure Hierarchical Clustering for Wireless Sensor Networks by Tung-Shih Su, Mei-Wen Huang, Wei-Shou Li, Wen-Shyong Hsieh

“…Due to our IP naming rules and type 1 nodes as cluster heads, public key cryptography, such as RSA (Rivest, Shamir, Adleman), or ECC (Elliptic Curve Cryptosystem), is easily implanted to our system to strengthen our security. …”
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Intelligent two-phase dual authentication framework for Internet of Medical Things by Muhammad Asif, Mohammad Abrar, Abdu Salam, Farhan Amin, Faizan Ullah, Sabir Shah, Hussain AlSalman

“…During the registration phase, our framework is based on Elliptic Curve Diffie-Hellman (ECDH) for rapid key exchange, and during real-time communication, our framework uses the Advanced Encryption Standard Galois Counter Mode (AES-GCM) to encrypt data securely. …”
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A Novel Spectrometer for Measuring Laser-Produced Plasma X-Ray in Inertial Confinement Fusion by Zhu Gang, Xiong Xian-cai, Zhong Xian-xin, Yang Yan

“…In order to diagnose laser-plasma distribution in space and evolution in time, an elliptical curved crystal spectrometer has been developed and applied to diagnose X-ray of laser-produced plasma in 0.2~2.46 nm region. …”
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The number of edges on generalizations of Paley graphs by Lawrence Sze

“…Here we obtain formulae for the number of edges of generalizations of these subgraphs using Gaussian hypergeometric series and elliptic curves. Such formulae are simple in several infinite families, including those studied by Evans, Pulham, and Sheenan.…”
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The vanishing of anticyclotomic $\mu $-invariants for non-ordinary modular forms by Hatley, Jeffrey, Lei, Antonio

“…This gives an alternative method to reprove a recent result of Matar on the vanishing of the $\mu $-invariants of plus and minus signed Selmer groups for elliptic curves.…”
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PATS: Let Parties Have a Say in Threshold Group Key Sharing by Adnan Kılıç, Cansu Betin Onur, Ertan Onur

“…In this paper, we present PATS, which employs finite fields and elliptic curves, along with its security and complexity analyses.…”
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Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures by Ze-Qing Wan, Shi-Rong Li, Hong-Wei Ma

“…This paper presents some equilibrium paths and configurations of the elliptic curved beam for different pinching concentrated loads.…”
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Biaxial Shear Load Capacity of Anchor System for Quick-Hardening Track on Railway Bridges by Kyoung Chan Lee, Il-Wha Lee, Seong-Cheol Lee

“…The biaxial shear capacity of each design was investigated experimentally, and the structural capacity for biaxial shear loads was evaluated using an elliptical curve to represent the longitudinal and transverse shear capacities. …”
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