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In the past two decades, Elliptic Curve Cryptography (ECC) have become increasingly advanced. ECC, with much smaller key sizes, offers equivalent security when compared to other asymmetric cryptosystems. In this survey, an comprehensive…

信号处理 · 电气工程与系统科学 2017-10-24 Bahram Rashidi

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…

密码学与安全 · 计算机科学 2011-07-20 Rahat Afreen , S. C. Mehrotra

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…

密码学与安全 · 计算机科学 2012-02-10 D. Sravana Kumar , CH. Suneetha , A. Chandrasekhar

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…

硬件体系结构 · 计算机科学 2014-02-20 Sruti Agarwal , Sangeet Saha , Rourab Paul , Amlan Chakrabarti

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…

密码学与安全 · 计算机科学 2022-08-04 Kunal Abhishek , E. George Dharma Prakash Raj

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.…

密码学与安全 · 计算机科学 2011-09-12 Muhammad Yasir Malik

The problem of constructing elliptic curves suitable for pairing applications has received a lot of attention. To solve this, we propose a variant algorithm of a known method by Brezing and Weng. We produce new families of parameters using…

数论 · 数学 2007-11-14 Tanaka Satoru , Nakamula Ken

Elliptic curve cryptography (ECC) is foundational to modern secure communication, yet existing standard curves have faced scrutiny for opaque parameter-generation practices. This work introduces a Selmer-inspired framework for constructing…

密码学与安全 · 计算机科学 2025-10-06 Awnon Bhowmik

Pairing-based inner product functional encryption provides an efficient theoretical construction for privacy-preserving edge computing secured by widely deployed elliptic curve cryptography. In this work, an efficient software…

密码学与安全 · 计算机科学 2025-04-04 Utsav Banerjee

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…

密码学与安全 · 计算机科学 2024-02-05 Abel C. H. Chen

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…

密码学与安全 · 计算机科学 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…

密码学与安全 · 计算机科学 2012-03-21 M. Toorani , A. A. Beheshti

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…

密码学与安全 · 计算机科学 2025-01-08 Qian Xiong , Weiliang Ma , Xuanhua Shi , Yongluan Zhou , Hai Jin , Kaiyi Huang , Haozhou Wang , Zhengru Wang

The rapid development of computer technology will be the whole world as a whole, the widespread application of instant messaging technology to bring great convenience to people's lives, while privacy protection has become a more significant…

密码学与安全 · 计算机科学 2019-10-11 Weiqing You , Guozhen Shi , Xiaoming Chen , Jian Qi , Chuang Qing

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…

量子物理 · 物理学 2025-01-20 Diego Polimeni , Raphael Seidel

With the advent of the Internet-of-Things (IoT), vehicular networks and cyber-physical systems, the need for real-time data processing and analysis has emerged as an essential pre-requite for customers' satisfaction. In this direction,…

网络与互联网体系结构 · 计算机科学 2019-07-23 Kuljeet Kaur , Sahil Garg , Georges Kaddoum , Mohsen Guizani , Dushantha Nalin K. Jayakody

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,…

密码学与安全 · 计算机科学 2016-10-06 Alberto Sonnino , Giorgio Sonnino

Protecting the privacy of blockchain transactions is extremely important for users. Stealth address protocols (SAP) allow users to receive assets via stealth addresses that they do not associate with their stealth meta-addresses. SAP can be…

密码学与安全 · 计算机科学 2024-09-17 Marija Mikic , Mihajlo Srbakoski

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. We discuss the…

密码学与安全 · 计算机科学 2022-08-04 Kunal Abhishek , E. George Dharma Prakash Raj

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…

密码学与安全 · 计算机科学 2021-08-02 Dmitry Belyavsky , Billy Bob Brumley , Jesús-Javier Chi-Domínguez , Luis Rivera-Zamarripa , Igor Ustinov
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