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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

After attacking the RSA by injecting fault and corresponding countermeasures, works appear now about the need for protecting RSA public elements against fault attacks. We provide here an extension of a recent attack based on the public…

Cryptography and Security · Computer Science 2011-02-01 Alexandre Berzati , Cécile Canovas , Jean-Guillaume Dumas , Louis Goubin

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

We present a principled technique for reducing the lattice and matrix size in some applications of Coppersmith's lattice method for finding roots of modular polynomial equations. Motivated by ideas from machine learning, it relies on…

Cryptography and Security · Computer Science 2020-12-18 Stephen D. Miller , Bhargav Narayanan , Ramarathnam Venkatesan

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

The emergence of small computing devices and the integration of processing units into everyday objects has made lightweight cryptography an essential part of the security landscape. Conventional cryptographic algorithms such as AES, RSA,…

Cryptography and Security · Computer Science 2026-02-17 Mohsin Khan , Elisavet Kozyri , Håvard Dagenborg

This article presets a review of the achievements rapidly developing field of cryptography - public-key cryptography based on the lattice theory. Paper contains the necessary basic concepts and the major problems of the lattice theory, as…

Cryptography and Security · Computer Science 2010-09-14 V. S. Usatyuk

Public key encryption with equality test (PKEET) supports to check whether two ciphertexts encrypted under different public keys contain the same message or not. PKEET has many interesting applications such as keyword search on encrypted…

Cryptography and Security · Computer Science 2020-05-13 Dung Hoang Duong , Kazuhide Fukushima , Shinsaku Kiyomoto , Partha Sarathi Roy , Arnaud Sipasseuth , Willy Susilo

Analyzing the security of cryptosystems under attacks based on the malicious modification of memory registers is a research topic of high importance. This type of attacks may affect the randomness of the secret parameters by forcing a…

Cryptography and Security · Computer Science 2017-12-29 Domingo Gomez-Perez , Guénaël Renault

The successful deployment of the Internet of Things (IoT) applications relies heavily on their robust security, and lightweight cryptography is considered an emerging solution in this context. While existing surveys have been examining…

Cryptography and Security · Computer Science 2025-12-29 Arsalan Vahi

We proposed a new attack against Hwang et al.'s cryptosystem. This cryptosystem uses a super-increasing sequence as private key and the authors investigate a new algorithm called permutation combination algorithm to enhance density of…

Cryptography and Security · Computer Science 2012-10-30 Roohallah Rastaghi , Hamid R. Dalili Oskouei

Researchers in the past have shown that Symmetric key cryptography is generally considered infeasible and public key cryptography, at times, fails to provide sufficient security and integrity to data. In contrast to this prejudice, our…

Cryptography and Security · Computer Science 2020-12-24 Ananth Vishnu Bhaskar , Ankit Baingane , Ryan Jahnige , Qingquan Zhang , Ting Zhu

We analyze the security and reliability of a recently proposed class of public-key cryptosystems against attacks by unauthorized parties who have acquired partial knowledge of one or more of the private key components and/or of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , D. Saad , Y. Kabashima

Given the escalating importance of cybersecurity, it becomes increasingly beneficial for a diverse community to comprehend fundamental security mechanisms. Among these, the RSA algorithm stands out as a crucial component in public-key…

Cryptography and Security · Computer Science 2024-07-23 Zhengping Jay Luo , Ruowen Liu , Aarav Mehta , Md Liakat Ali

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

The Implicit Factorization Problem was first introduced by May and Ritzenhofen at PKC'09. This problem aims to factorize two RSA moduli $N_1=p_1q_1$ and $N_2=p_2q_2$ when their prime factors share a certain number of least significant bits…

Cryptography and Security · Computer Science 2024-03-05 Yansong Feng , Abderrahmane Nitaj , Yanbin Pan

In symmetric key cryptography the sender as well as the receiver possess a common key. Asymmetric key cryptography involves generation of two distinct keys which are used for encryption and decryption correspondingly. The sender converts…

Cryptography and Security · Computer Science 2016-03-25 Akashdeep Bhardwaj , GVB Subrahmanyam , Vinay Avasthi , Hanumat Sastry

This paper introduces an SPA power attack on the 8-bit implementation of the Twofish block cipher. The attack is able to unequivocally recover the secret key even under substantial amounts of error. An initial algorithm is described using…

Cryptography and Security · Computer Science 2016-11-23 Jose Javier Gonzalez Ortiz , Kevin J. Compton

We show that a previously introduced key exchange based on a congruence-simple semiring action is not secure by providing an attack that reveals the shared key from the distributed public information for any of such semirings

Cryptography and Security · Computer Science 2024-02-16 Otero Sanchez Alvaro , Lopez Ramos Juan Antonio

The Polynomial Learning With Errors problem (PLWE) serves as the background of two of the three cryptosystems standardized in August 2024 by the National Institute of Standards and Technology to replace non-quantum resistant current…

Cryptography and Security · Computer Science 2025-07-01 Iván Blanco Chacón , Raúl Durán Díaz , Rodrigo Martín Sánchez-Ledesma
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