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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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Quantum resource estimates for computing elliptic curve discrete logarithms [PDF]
International Conference on the Theory and Application of Cryptology and Information Security, 2017 We give precise quantum resource estimates for Shor's algorithm to compute discrete logarithms on elliptic curves over prime fields. The estimates are derived from a simulation of a Toffoli gate network for controlled elliptic curve point addition ...
A Joux +32 more
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Elliptic Curve Cryptography for Wireless Sensor Networks Using the Number Theoretic Transform [PDF]
Sensors, 2020 We implement elliptic curve cryptography on the MSP430 which is a commonly used microcontroller in wireless sensor network nodes. We use the number theoretic transform to perform finite field multiplication and squaring as required in elliptic curve ...
Utku Gulen, Selcuk Baktir
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Armed with Faster Crypto: Optimizing Elliptic Curve Cryptography for ARM Processors [PDF]
SensorsElliptic curve cryptography is a widely deployed technology for securing digital communication. It is the basis of many cryptographic primitives such as key agreement protocols, digital signatures, and zero-knowledge proofs.
Ruben De Smet +4 more
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Elliptic Curve Lightweight Cryptography: A Survey
IEEE Access, 2018 Since it was invented in 1986, elliptic curve cryptography (ECC) has been studied widely in industry and academy from different perspectives. Some of these aspects include mathematical foundations, protocol design, curve generation, security proofs ...
Carlos Andres Lara-Nino +2 more
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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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Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Elliptic curve cryptography includes symmetric key cryptography systems that base their security on mathematical problems of elliptic curves. There are several ways that can be used to define the elliptic curve equation that depends on the infinite field
Juhari Juhari, Mohamad Febry Andrean
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Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography
Cybernetics and Information Technologies, 2021 Short Weierstrass elliptic curves with underlying hard Elliptic Curve Discrete Logarithm Problem (ECDLP) are widely used in cryptographic applications. A notion of security called Elliptic Curve Cryptography (ECC) security is also suggested in literature
Abhishek Kunal +1 more
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Evaluation of Computational Approaches of Short Weierstrass Elliptic Curves for Cryptography
Cybernetics and Information Technologies, 2021 The survey presents the evolution of Short Weierstrass elliptic curves after their introduction in cryptography. Subsequently, this evolution resulted in the establishment of present elliptic curve computational standards.
Abhishek Kunal +1 more
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Speeding-Up Elliptic Curve Cryptography Algorithms
Mathematics, 2022 In recent decades there has been an increasing interest in Elliptic curve cryptography (ECC) and, especially, the Elliptic Curve Digital Signature Algorithm (ECDSA) in practice.
Diana MaimuĊ£, Alexandru Cristian Matei
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