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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

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

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

In this paper we address the problem of protecting elliptic curve scalar multiplication implementations against side-channel analysis by using the atomicity principle. First of all we reexamine classical assumptions made by scalar…

Cryptography and Security · Computer Science 2016-12-09 Christophe Giraud , Vincent Verneuil

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

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

In this work, we investigate the security of Elliptic Curve Cryptosystem (ECC) implementations against Side-Channel Analysis (SCA). ECC is well known for its efficiency and strong security, yet vulnerable to SCA which exploits physical…

Cryptography and Security · Computer Science 2025-09-30 Philip Laryea Doku

Evaluation of the resistance of implemented cryptographic algorithms against SCA attacks, as well as detecting of SCA leakage sources at an early stage of the design process, is important for an efficient re-design of the implementation.…

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

We propose a novel approach for performing side-channel attacks on elliptic curve cryptography. Unlike previous approaches and inspired by the ``activity detection'' literature, we adopt a long-short-term memory (LSTM) neural network to…

Cryptography and Security · Computer Science 2025-02-25 Alberto Battistello , Guido Bertoni , Michele Corrias , Lorenzo Nava , Davide Rusconi , Matteo Zoia , Fabio Pierazzi , Andrea Lanzi

Pattern recognition algorithms are commonly employed to simplify the challenging and necessary step of track reconstruction in sub-atomic physics experiments. Aiding in the discrimination of relevant interactions, pattern recognition seeks…

Quantum Physics · Physics 2021-07-14 Gregory Quiroz , Lauren Ice , Andrea Delgado , Travis S. Humble

The well-known randomized consensus algorithm by Aspnes and Herlihy for asynchronous shared-memory systems was proved to work, even against a strong adversary, under the assumption that the registers that it uses are atomic registers. With…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-15 Vassos Hadzilacos , Xing Hu , Sam Toueg

Atomic shared objects, whose operations take place instantaneously, are a powerful abstraction for designing complex concurrent programs. Since they are not always available, they are typically substituted with software implementations. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-02 Hagit Attiya , Constantin Enea , Jennifer L. Welch

The SECP256K1 elliptic curve algorithm is fundamental in cryptocurrency wallets for generating secure public keys from private keys, thereby ensuring the protection and ownership of blockchain-based digital assets. However, the literature…

Cryptography and Security · Computer Science 2024-11-07 Joel Poncha Lemayian , Ghyslain Gagnon , Kaiwen Zhang , Pascal Giard

Linearizability is the gold standard of correctness conditions for shared memory algorithms, and historically has been considered the practical equivalent of atomicity. However, it has been shown [1] that replacing atomic objects with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Sean Ovens , Philipp Woelfel

Atomic registers are certainly the most basic objects of computing science. Their implementation on top of an n-process asynchronous message-passing system has received a lot of attention. It has been shown that t \textless{} n/2 (where t…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-09 Achour Mostéfaoui , Michel Raynal

Here we address the challenge of profiling causal properties and tracking the transformation of chemical compounds from an algorithmic perspective. We explore the potential of applying a computational interventional calculus based on the…

Molecular Networks · Quantitative Biology 2018-03-20 Hector Zenil , Narsis A. Kiani , Ming-Mei Shang , Jesper Tegnér

Atomicity is a ubiquitous assumption in distributed computing, under which actions are indivisible and appear sequential. In classical computing, this assumption has several theoretical and practical guarantees. In quantum computing,…

Quantum Physics · Physics 2024-04-30 Zhicheng Zhang , Mingsheng Ying

Reasoning about hyperproperties of concurrent implementations, such as the guarantees these implementations provide to randomized client programs, has been a long-standing challenge. Standard linearizability enables the use of atomic…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yoav Ben Shimon , Ori Lahav , Sharon Shoham

Memory consistency models are notorious for being difficult to define precisely, to reason about, and to verify. More than a decade of effort has gone into nailing down the definitions of the ARM and IBM Power memory models, and yet there…

Programming Languages · Computer Science 2019-04-11 Sizhuo Zhang , Muralidaran Vijayaraghavan , Dan Lustig , Arvind

Despite the widespread use of machine learning algorithms to solve problems of technological, economic, and social relevance, provable guarantees on the performance of these data-driven algorithms are critically lacking, especially when the…

Machine Learning · Computer Science 2019-03-18 Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti
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