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In this paper we study the existing CRT-RSA countermeasures against fault-injection at-tacks. In an attempt to classify them we get to achieve deep understanding of how they work. We show that the many countermeasures that we study (and…

Cryptography and Security · Computer Science 2014-12-02 Pablo Rauzy , Sylvain Guilley

This work presents a novel, black-box software-based countermeasure against physical attacks including power side-channel and fault-injection attacks. The approach uses the concept of random self-reducibility and self-correctness to add…

This paper proposes an alternative approach to formally establishing the correctness of the RSA public key cryptosystem. The methodology presented herein deviates slightly from conventional proofs found in existing literature. Specifically,…

Cryptography and Security · Computer Science 2026-01-01 Dar-jen Chang , Suranjan Gautam

This paper explores vulnerabilities in RSA cryptosystems that arise from improper prime number selection during key generation. We examine two primary attack vectors: Fermat's factorization method, which exploits RSA keys generated with…

Cryptography and Security · Computer Science 2025-12-30 Murtaza Nikzad , Kerem Atas

In this article, we describe a methodology that aims at either breaking or proving the security of CRT-RSA implementations against fault injection attacks. In the specific case-study of the BellCoRe attack, our work bridges a gap between…

Cryptography and Security · Computer Science 2014-06-16 Pablo Rauzy , Sylvain Guilley

Embedded software is developed under the assumption that hardware execution is always correct. Fault attacks break and exploit that assumption. Through the careful introduction of targeted faults, an adversary modifies the control-flow or…

Cryptography and Security · Computer Science 2020-03-25 Bilgiday Yuce , Patrick Schaumont , Marc Witteman

In this paper, we present attacks on three types of RSA modulus when the least significant bits of the prime factors of RSA modulus satisfy some conditions. Let $p,$ and $q$ be primes of the form $p=a^{m_1}+r_p$ and $q=b^{m_2}+r_q$…

Number Theory · Mathematics 2025-04-29 M. Anwar , Mustafa Ismail , H. M. Bahig

A fault injection framework for the decryption algorithm of the Niederreiter public-key cryptosystem using binary irreducible Goppa codes and classical decoding techniques is described. In particular, we obtain low-degree polynomial…

Information Theory · Computer Science 2023-06-22 Julian Danner , Martin Kreuzer

We point out critical deficiencies in lattice-based cryptanalysis of common prime RSA presented in ``Remarks on the cryptanalysis of common prime RSA for IoT constrained low power devices'' [Information Sciences, 538 (2020) 54--68]. To…

Cryptography and Security · Computer Science 2024-01-09 Mengce Zheng

Whether stemming from malicious intent or natural occurrences, faults and errors can significantly undermine the reliability of any architecture. In response to this challenge, fault detection assumes a pivotal role in ensuring the secure…

Cryptography and Security · Computer Science 2024-02-29 Saeed Aghapour , Kasra Ahmadi , Mehran Mozaffari Kermani , Reza Azarderakhsh

This article proposes a new method to inject backdoors in RSA and other cryptographic primitives based on the Integer Factorization problem for balanced semi-primes. The method relies on mathematical congruences among the factors of the…

Cryptography and Security · Computer Science 2022-02-01 Marco Cesati

Currently deployed public-key cryptosystems will be vulnerable to attacks by full-scale quantum computers. Consequently, "quantum resistant" cryptosystems are in high demand, and lattice-based cryptosystems, based on a hard problem known as…

Cryptography and Security · Computer Science 2023-04-25 Emily Wenger , Mingjie Chen , François Charton , Kristin Lauter

Intellectual Property (IP) theft is a serious concern for the integrated circuit (IC) industry. To address this concern, logic locking countermeasure transforms a logic circuit to a different one to obfuscate its inner details. The…

Cryptography and Security · Computer Science 2021-02-18 Qinhan Tan , Seetal Potluri , Aydin Aysu

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

RSA cryptography is still widely used. Some of its applications (e.g., distributed signature schemes, cryptosystems) do not allow the RSA modulus to be generated by a centralized trusted entity. Instead, the factorization must remain…

Cryptography and Security · Computer Science 2019-12-25 Vidal Attias , Luigi Vigneri , Vassil Dimitrov

In this paper we present new arithmetical and algebraic results following the work of Babindamana and al. on hyperbolas and describe in the new results an approach to attacking a RSA-type modulus based on continued fractions, independent…

Cryptography and Security · Computer Science 2023-05-10 Gilda Rech Bansimba , Regis Freguin Babindamana , Basile Guy R. Bossoto

For classical fault analysis, a transient fault is required to be injected during runtime, e.g., only at a specific round. Instead, Persistent Fault Analysis (PFA) introduces a powerful class of fault attacks that allows for a fault to be…

Cryptography and Security · Computer Science 2021-05-31 Susanne Engels , Falk Schellenberg , Christof Paar

We revisit Fermat's factorization method for a positive integer $n$ that is a product of two primes $p$ and $q$. Such an integer is used as the modulus for both encryption and decryption operations of an RSA cryptosystem. The security of…

Cryptography and Security · Computer Science 2009-10-23 Sounak Gupta , Goutam Paul

Fault attacks consist in changing the program behavior by injecting faults at run-time in order to break some expected security properties. Applications are hardened against fault attack adding countermeasures. According to the state of the…

Cryptography and Security · Computer Science 2023-03-06 Etienne Boespflug , Abderrahmane Bouguern , Laurent Mounier , Marie-Laure Potet

Persistent Fault Attack (PFA) is a recently proposed Fault Attack (FA) method in CHES 2018. It is able to recover full AES secret key in the Single-Byte-Fault scenario. It is demonstrated that classical FA countermeasures, such as Dual…

Cryptography and Security · Computer Science 2025-12-15 Yukun Cheng , Mengce Zheng , Fan Huang , Jiajia Zhang , Honggang Hu , Nenghai Yu
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