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Elliptic Curve Cryptosystems [PDF]

open access: yesMathematics of Computation, 1987
We discuss analogs based on elliptic curves over finite fields of public key cryptosystems which use the multiplicative group of a finite field. These elliptic curve cryptosystems may be more secure, because the analog of the discrete logarithm problem on elliptic curves is likely to be harder than the classical discrete logarithm problem, especially ...
N. Koblitz
openaire   +2 more sources

Secure Elliptic Curve Crypto-Processor for Real-Time IoT Applications

open access: yesEnergies, 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
doaj   +2 more sources

Elliptic Curve Cryptography for Wireless Sensor Networks Using the Number Theoretic Transform [PDF]

open access: yesSensors, 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
doaj   +2 more sources

Armed with Faster Crypto: Optimizing Elliptic Curve Cryptography for ARM Processors [PDF]

open access: yesSensors
Elliptic 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
doaj   +2 more sources

Elliptic Curve Lightweight Cryptography: A Survey

open access: yesIEEE 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
doaj   +2 more sources

The review on elliptic curves as cryptographic pairing groups [PDF]

open access: yesMathematics 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
doaj   +1 more source

Analysis of Elliptic Curve Cryptography & RSA

open access: yesJournal of ICT Standardization, 2023
In today’s digital world, the Internet is an essential component of communication networks. It provides a platform for quickly exchanging information among communicating parties.
Mohammad Rafeek Khan   +6 more
semanticscholar   +1 more source

Image Encryption and Authentication With Elliptic Curve Cryptography and Multidimensional Chaotic Maps

open access: yesIEEE Access, 2021
Many researchers have used the properties of the popular Elliptic Curve Cryptography(ECC) to devise a stronger and faster image encryption algorithm to assure the secrecy of images during online transmission.
Priyansi Parida   +4 more
semanticscholar   +1 more source

Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography

open access: yesCybernetics 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
doaj   +1 more source

Evaluation of Computational Approaches of Short Weierstrass Elliptic Curves for Cryptography

open access: yesCybernetics 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
doaj   +1 more source

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