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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

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 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…

Cryptography and Security · Computer Science 2025-10-06 Awnon Bhowmik

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

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…

Signal Processing · Electrical Eng. & Systems 2017-10-24 Bahram Rashidi

In this paper, we will present how to find keys elliptic curve cryptosystems (ECC) with simple tools of Delphi 7 console application, using the software problem solving of the scalar point multiplication in the field GF(p), where p is an…

Cryptography and Security · Computer Science 2013-09-03 Dragan Vidakovic , Dusko Parezanovic

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

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

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

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

Elliptic curve cryptography (ECC) is widely used in security applications such as public key cryptography (PKC) and zero-knowledge proofs (ZKP). ECC is composed of modular arithmetic, where modular multiplication takes most of the…

Hardware Architecture · Computer Science 2024-02-23 Jonathan Ku , Junyao Zhang , Haoxuan Shan , Saichand Samudrala , Jiawen Wu , Qilin Zheng , Ziru Li , JV Rajendran , Yiran Chen

Nodes of sensor networks may be resource-constrained devices, often having a limited lifetime, making sensor networks remarkably dynamic environments. Managing a cryptographic protocol on such setups may require a disproportionate effort…

Cryptography and Security · Computer Science 2020-06-15 Riccardo Aragona , Roberto Civino , Norberto Gavioli , Marco Pugliese

Elliptic Curve Cryptography (ECC) is a fundamental component of modern public-key cryptosystems that enable efficient and secure digital signatures, key exchanges, and encryption. Its core operation, scalar multiplication, denoted as $k…

Cryptography and Security · Computer Science 2025-08-20 Takreem Haider

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

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) 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

Elliptic curve cryptography (ECC) is used in many security systems due to its small key size and high security as compared to the other cryptosystems. In many well-known security systems substitution box (S-box) is the only non-linear…

Cryptography and Security · Computer Science 2019-01-16 Naveed Ahmed Azam , Umar Hayat , Ikram Ullah

In 2022, Persianom, Phan and Yung outlined the creation of Anamorphic Cryptography. With this, we can create a public key to encrypt data, and then have two secret keys. These secret keys are used to decrypt the cipher into different…

Cryptography and Security · Computer Science 2025-07-04 William J Buchanan , Jamie Gilchrist

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
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