The review on elliptic curves as cryptographic pairing groups [PDF]
Mathematics and Computational Sciences, 2021 Elliptic curve is a set of two variable points on polynomials of degree 3 over a field acted by an addition operation that forms a group structure. The motivation of this study is the mathematics behind that elliptic curve to the applicability within a ...
E Khamseh
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THEORETICAL ASSUMPTIONS FOR AN INTRODUCTION TO ELLIPTIC CURVE CRYPTOGRAPHY
STED Journal, 2023 Understanding elliptic curves contributed to solving mathematical problems in number theory that had been unsolved for centuries. Elliptic curves were also used in solving one of the millennial problems, which is Fermat's last theorem.
Ognjen Milivojević, Boris Damjanović
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Twisted Edwards Elliptic Curves for Zero-Knowledge Circuits
Mathematics, 2021 Circuit-based zero-knowledge proofs have arose as a solution to the implementation of privacy in blockchain applications, and to current scalability problems that blockchains suffer from.
Marta Bellés-Muñoz +4 more
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Attribute-Based Blind Signature Scheme Based on Elliptic Curve Cryptography
IEEE Access, 2022 Blind signature is a special digital signature that allows the signer to sign a document without knowing its content. However, in many situations, multiple people need to blindly sign messages.
Rui Ma, Linyue Du
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Methods for using elliptic curves in cryptography [PDF]
E3S Web of ConferencesElliptic Curve Cryptography (ECC), a significant modern cryptography, is more secure and robust than most others due to its construction using an elliptic curve and the application of mathematical operations for encryption and key generation. Furthermore,
Obukhov Vadim +4 more
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Generalized Fibonacci Sequences for Elliptic Curve Cryptography
Mathematics, 2023 The Fibonacci sequence is a well-known sequence of numbers with numerous applications in mathematics, computer science, and other fields. In recent years, there has been growing interest in studying Fibonacci-like sequences on elliptic curves.
Zakariae Cheddour +2 more
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A certificateless Multi-receiver Encryption scheme based on SM2 signature algorithm
High-Confidence Computing, 2023 The Multi-receiver Encryption (MRE) scheme can meet the secure data transmission requirements in multicast and broadcast scenarios. To meet compliance, critical information infrastructure in China should be protected with Chinese national commercial ...
Jinglin Zou +5 more
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Key Generation in Cryptography Using Elliptic-Curve Cryptography and Genetic Algorithm
Engineering Proceedings, 2023 Elliptic-curve cryptography (ECC) has become a robust cryptographic technique that ensures secure data transmission with comparatively small key sizes.
Sanjay Kumar, Deepmala Sharma
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EFFICIENCY AND EFFECTIVENESS ANALYSIS OVER ECC-BASED DIRECT AND INDIRECT AUTHENTICATION PROTOCOLS: AN EXTENSIVE COMPARATIVE STUDY [PDF]
ICTACT Journal on Communication Technology, 2012 Elliptic curve cryptography finds enormous applications because of its security offering using the remarkable property of elliptic curve. The Elliptic curve cryptography finds enormous applications in almost all the emerging areas.
K. Thilagavathi, P.G.Rajeswari
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Secure Elliptic Curve Crypto-Processor for Real-Time IoT Applications
Energies, 2021 Cybersecurity is a critical issue for Real-Time IoT applications since high performance and low latencies are required, along with security requirements to protect the large number of attack surfaces to which IoT devices are exposed.
Stefano Di Matteo +5 more
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