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Scalar multiplication kP is a critical operation in Elliptic Curve Cryptosystems (ECC), often targeted by Side-Channel Analysis (SCA). Despite strategies based on atomic patterns to enhance security, the binary kP algorithms remain…

密码学与安全 · 计算机科学 2026-04-30 Alkistis Aikaterini Sigourou , Zoya Dyka , Peter Langendoerfer , Ievgen Kabin

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

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

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

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

Electrocardiogram (ECG) signals, which capture the heart's electrical activity, are used to diagnose and monitor cardiac problems. The accurate classification of ECG signals, particularly for distinguishing among various types of…

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…

密码学与安全 · 计算机科学 2023-07-20 Mahender Kumar

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

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…

密码学与安全 · 计算机科学 2011-10-06 Hamid Javashi , Reza Sabbaghi-Nadooshan

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…

密码学与安全 · 计算机科学 2013-09-03 Dragan Vidakovic , Dusko Parezanovic

This paper introduces Elliptic Curve Modulation (ECM), a novel modulation scheme that can be leveraged to effectively shuffle transmitted data while maintaining symbol error probability (SEP) performance equivalent to unencrypted systems.…

信号处理 · 电气工程与系统科学 2025-05-21 Thrassos K. Oikonomou , George K. Karagiannidis

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

Efficient scalar multiplication is critical for enhancing the performance of elliptic curve cryptography (ECC), especially in applications requiring large-scale or real-time cryptographic operations. This paper proposes an M-ary…

密码学与安全 · 计算机科学 2025-05-06 Tongxi Wu , Xufeng Liu , Jin Yang , Yijie Zhu , Shunyang Zeng , Mingming Zhan

The rapid development of parallel and distributed computing paradigms has brought about great revolution in computing. Thanks to the intrinsic parallelism of evolutionary computation (EC), it is natural to implement EC on parallel and…

神经与进化计算 · 计算机科学 2023-04-13 Wei-Neng Chen , Feng-Feng Wei , Tian-Fang Zhao , Kay Chen Tan , Jun Zhang

Differential evolution (DE) is an effective global evolutionary optimization algorithm using to solve global optimization problems mainly in a continuous domain. In this field, researchers pay more attention to improving the capability of…

神经与进化计算 · 计算机科学 2023-03-07 Pan Zibin

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

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

This paper presents a comparative analysis between the Genetic Algorithm (GA) and Particle Swarm Optimization (PSO), two vital artificial intelligence algorithms, focusing on optimizing Elliptic Curve Cryptography (ECC) parameters. These…

密码学与安全 · 计算机科学 2024-07-02 Felipe Tellez , Jorge Ortiz

With the advent of machine learning and quantum computing, the 21st century has gone from a place of relative algorithmic security, to one of speculative unease and possibly, cyber catastrophe. Modern algorithms like Elliptic Curve…

密码学与安全 · 计算机科学 2026-01-05 Lily Erickson

Elliptic Curve Scalar Multiplication denoted as kP operation is the basic operation in all Elliptic Curve based cryptographic protocols. The atomicity principle and different atomic patterns for kP algorithms were proposed in the past as…

密码学与安全 · 计算机科学 2024-12-05 Alkistis Aikaterini Sigourou , Zoya Dyka , Sze Hei Li , Peter Langendoerfer , Ievgen Kabin
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