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Cryptographic algorithms are computationally costly and the challenge is more if we need to execute them in resource constrained embedded systems. Field Programmable Gate Arrays (FPGAs) having programmable logic de- vices and processing…

Hardware Architecture · Computer Science 2014-02-20 Sruti Agarwal , Sangeet Saha , Rourab Paul , Amlan Chakrabarti

RSA(Rivest, Shamir and Adleman)is being used as a public key exchange and key agreement tool for many years. Due to large numbers involved in RSA, there is need for more efficient methods in implementation for public key cryptosystems.…

Cryptography and Security · Computer Science 2011-09-12 Muhammad Yasir Malik

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that offers the same level of security as traditional public-key cryptography (PKC) with a significantly smaller key size and lower computational requirements. The use of…

Cryptography and Security · Computer Science 2023-07-20 Mahender Kumar

Resource constraints in smart devices demand an efficient cryptosystem that allows for low power and memory consumption. This has led to popularity of comparatively efficient Elliptic curve cryptog-raphy (ECC). Prior to this paper, much of…

Cryptography and Security · Computer Science 2015-02-09 Yasir Malik

Cryptography is the study of techniques for ensuring the secrecy and authentication of the information. Public-key encryption schemes are secure only if the authenticity of the public-key is assured. Elliptic curve arithmetic can be used to…

Cryptography and Security · Computer Science 2012-02-10 D. Sravana Kumar , CH. Suneetha , A. Chandrasekhar

Importance of Elliptic Curves in Cryptography was independently proposed by Neal Koblitz and Victor Miller in 1985.Since then, Elliptic curve cryptography or ECC has evolved as a vast field for public key cryptography (PKC) systems. In PKC…

Cryptography and Security · Computer Science 2011-07-20 Rahat Afreen , S. C. Mehrotra

Public-key cryptography algorithms, especially elliptic curve cryptography (ECC) and elliptic curve digital signature algorithm (ECDSA) have been attracting attention from many researchers in different institutions because these algorithms…

Cryptography and Security · Computer Science 2019-02-28 Mishall Al-Zubaidie , Zhongwei Zhang , Ji Zhang

Elliptic Curve Cryptography (ECC) is an encryption method that provides security comparable to traditional techniques like Rivest-Shamir-Adleman (RSA) but with lower computational complexity and smaller key sizes, making it a competitive…

Cryptography and Security · Computer Science 2025-01-08 Qian Xiong , Weiliang Ma , Xuanhua Shi , Yongluan Zhou , Hai Jin , Kaiyi Huang , Haozhou Wang , Zhengru Wang

Historically, Elliptic Curve Cryptography (ECC) is an active field of applied cryptography where recent focus is on high speed, constant time, and formally verified implementations. While there are a handful of outliers where all these…

Cryptography and Security · Computer Science 2021-08-02 Dmitry Belyavsky , Billy Bob Brumley , Jesús-Javier Chi-Domínguez , Luis Rivera-Zamarripa , Igor Ustinov

Elliptic curve cryptography (ECC) is a widely established cryptographic technique, recognized for its effectiveness and reliability across a broad range of applications such as securing telecommunications or safeguarding cryptocurrency…

Quantum Physics · Physics 2025-01-20 Diego Polimeni , Raphael Seidel

In this paper, we propose an elliptic curve key generation processor over GF(2m) and GF(P) with Network-on-Chip (NoC) design scheme based on binary scalar multiplication algorithm. Over the Two last decades, Elliptic Curve Cryptography…

Cryptography and Security · Computer Science 2011-10-06 Hamid Javashi , Reza Sabbaghi-Nadooshan

Elliptic Curve Cryptography (ECC) is widely accepted for ensuring secure data exchange between resource-limited IoT devices. The National Institute of Standards and Technology (NIST) recommended implementation, such as B-163, is…

Hardware Architecture · Computer Science 2025-06-17 Ruby Kumari , Tapas Rout , Babul Saini , Jai Gopal Pandey , Abhijit Karmakar

Elliptic curve cryptography (ECC) has emerged as the dominant public-key protocol, with NIST standardizing parameters for binary field GF(2^m) ECC systems. This work presents a hardware implementation of a Hybrid Multiplication technique…

Cryptography and Security · Computer Science 2025-06-25 Ruby Kumari , Gaurav Purohit , Abhijit Karmakar

Short Weierstrass's elliptic curves with underlying hard Elliptic Curve Discrete Logarithm Problems was widely used in Cryptographic applications. This paper introduces a new security notation 'trusted security' for computation methods of…

Cryptography and Security · Computer Science 2022-08-04 Kunal Abhishek , E. George Dharma Prakash Raj

The Internet, a rapidly expanding communication infrastructure, poses significant cybersecurity challenges. A few techniques have been developed to provide security in the OSI model's application, presentation, and network layers. Instead…

Cryptography and Security · Computer Science 2021-09-28 Donald Somiari Ene , Isobo Nelson Davies , Godwin Fred Lenu , Ibiere Boma Cookey

An elliptic curve-based signcryption scheme is introduced in this paper that effectively combines the functionalities of digital signature and encryption, and decreases the computational costs and communication overheads in comparison with…

Cryptography and Security · Computer Science 2012-03-21 M. Toorani , A. A. Beheshti

In this work, a new 4-D hyperchaotic system for image encryption is proposed and its effectiveness is demonstrated by incorporating it into an existing Elliptic Curve Cryptography (ECC) mapping scheme. The proposed system is considered…

Cryptography and Security · Computer Science 2024-11-27 Yehia Lalili , Toufik Bouden , Morad Grimes , Abderrazek Lachouri

For avoiding the exposure of plaintexts in cloud environments, some homomorphic hashing algorithms have been proposed to generate the hash value of each plaintext, and cloud environments only store the hash values and calculate the hash…

Cryptography and Security · Computer Science 2024-02-05 Abel C. H. Chen

With the rapid advancements in quantum computing, traditional cryptographic schemes like Rivest-Shamir-Adleman (RSA) and elliptic curve cryptography (ECC) are becoming vulnerable, necessitating the development of quantum-resistant…

Cryptography and Security · Computer Science 2025-04-21 Omar Alnaseri , Yassine Himeur , Shadi Atalla , Wathiq Mansoor

We discuss the use of elliptic curves in cryptography on high-dimensional surfaces. In particular, instead of a Diffie-Hellman key exchange protocol written in the form of a bi-dimensional row, where the elements are made up with 256 bits,…

Cryptography and Security · Computer Science 2016-10-06 Alberto Sonnino , Giorgio Sonnino
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