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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…

Cryptography and Security · Computer Science 2026-04-30 Alkistis Aikaterini Sigourou , Zoya Dyka , Peter Langendoerfer , Ievgen Kabin

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…

Cryptography and Security · Computer Science 2024-12-05 Alkistis Aikaterini Sigourou , Zoya Dyka , Sze Hei Li , Peter Langendoerfer , Ievgen Kabin

Specific quantum algorithms exist to-in theory-break elliptic curve cryptographic protocols. Implementing these algorithms requires designing quantum circuits that perform elliptic curve arithmetic. To accurately judge a cryptographic…

Quantum Physics · Physics 2025-07-16 Francis P. Papa

Devices employing cryptographic approaches have to be resistant to physical attacks. Side-Channel Analysis (SCA) and Fault Injection (FI) attacks are frequently used to reveal cryptographic keys. In this paper, we present a combined SCA and…

Cryptography and Security · Computer Science 2026-03-23 Dmytro Petryk , Ievgen Kabin , Peter Langendoerfer , Zoya Dyka

In modern critical infrastructure such as power grids, it is crucial to ensure security of data communications between network-connected devices while following strict latency criteria. This necessitates the use of cryptographic hardware…

Cryptography and Security · Computer Science 2025-04-08 Aniket Banerjee , Utsav Banerjee

Scalar multiplication kP is the operation most frequently targeted in Elliptic Curve (EC) cryptosystems. To protect against single-trace Side-Channel Analysis (SCA) attacks, the atomicity principle and various atomic block patterns have…

Cryptography and Security · Computer Science 2026-04-27 Gerald Isheanesu Matungamire , Alkistis Aikaterini Sigourou , Gerrit Schrock , Zoya Dyka , Peter Langendoerfer , Ievgen Kabin

Side-channel analysis attacks, especially horizontal DPA and DEMA attacks, are significant threats for cryptographic designs. In this paper we investigate to which extend different multiplication formulae and randomization of the field…

Cryptography and Security · Computer Science 2022-01-10 Ievgen Kabin , Zoya Dyka , Dan Kreiser , Peter Langendoerfer

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

This paper investigates the distinguishability of the atomic patterns for elliptic curve point doubling and addition operations proposed by Longa. We implemented a binary elliptic curve scalar multiplication kP algorithm with Longa's atomic…

Cryptography and Security · Computer Science 2024-09-20 Sze Hei Li , Zoya Dyka , Alkistis Aikaterini Sigourou , Peter Langendoerfer , Ievgen Kabin

Due to the nature of applications such as critical infrastructure and the Internet of Things etc. side channel analysis attacks are becoming a serious threat. Side channel analysis attacks take advantage from the fact that the behavior of…

Cryptography and Security · Computer Science 2022-01-11 Ievgen Kabin , Zoya Dyka , Dan Klann , Peter Langendoerfer

Multi-scalar multiplication (MSM) is crucial in cryptographic applications and computationally intensive in zero-knowledge proofs. MSM involves accumulating the products of scalars and points on an elliptic curve over a 377-bit modulus, and…

Hardware Architecture · Computer Science 2025-02-18 Ayumi Ohno , Kotaro Shimamura , Shinya Takamaeda-Yamazaki

Linear complementary dual (LCD) codes and linear complementary pairs (LCP) of codes have been proposed for new applications as countermeasures against side-channel attacks (SCA) and fault injection attacks (FIA) in the context of direct sum…

Information Theory · Computer Science 2023-11-03 Sanjit Bhowmick , Deepak Kumar Dalai , Sihem Mesnager

In the evolving landscape of cryptographic security, the robustness of Elliptic Curve Cryptography (ECC) against side-channel analysis (SCA) attacks is of paramount importance due to the widespread use of ECC and the growing sophistication…

Cryptography and Security · Computer Science 2024-09-24 Sze Hei Li

This study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that…

Number Theory · Mathematics 2014-07-23 Andreas Enge , Jérôme Milan

The dependability of AI models relies largely on the reliability of the underlying computation hardware. Hardware aging attacks can compromise the computing substrate and disrupt AI models over the long run. In this work, we present a new…

Cryptography and Security · Computer Science 2026-03-31 Masoud Heidary , Biresh Kumar Joardar

Side Channel Analysis attacks take advantage of the information leaked from the implementations of cryptographic algorithms. In this paper we describe two key revealing methods which are based on machine learning algorithms: K-means and…

Cryptography and Security · Computer Science 2022-01-06 Marcin Aftowicz , Ievgen Kabin , Dan Klann , Yauhen Varabei , Zoya Dyka , Peter Langendoerfer

Detecting weaknesses in cryptographic algorithms is of utmost importance for designing secure information systems. The state-of-the-art soft analytical side-channel attack (SASCA) uses physical leakage information to make probabilistic…

Machine Learning · Computer Science 2025-01-24 Thomas Wedenig , Rishub Nagpal , Gaëtan Cassiers , Stefan Mangard , Robert Peharz

Elliptic curve multiplications can be improved by replacing the standard ladder algorithm's base 2 representation of the scalar multiplicand, with mixed-base representations with power-of-2 bases, processing the n bits of the current digit…

Cryptography and Security · Computer Science 2019-05-20 Wesam Eid , Marius C. Silaghi

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
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