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We address a cryptanalysis of two protocols based on the supposed difficulty of discrete logarithm problem on (semi) groups of matrices over a group ring. We can find the secret key and break entirely the protocols.

Cryptography and Security · Computer Science 2015-03-17 Mohammad Eftekhari

We present a new key exchange protocol based on circulant matrices acting on matrices over a congruence-simple semiring. We describe how to compute matrices with the necessary properties for the implementation of the protocol. Additionally,…

Commutative Algebra · Mathematics 2025-05-14 Alvaro Otero Sanchez

Lack of trust between organisations and privacy concerns about their data are impediments to an otherwise potentially symbiotic joint data analysis. We propose DataRing, a data sharing system that allows mutually mistrusting participants to…

Cryptography and Security · Computer Science 2021-06-21 Tham Nguyen , Hassan Jameel Asghar , Raghav Bhakar , Dali Kaafar , Farhad Farokhi

An algorithm is presented which implements a probabilistic attack on the key-exchange protocol based on permutation parity machines. Instead of imitating the synchronization of the communicating partners, the strategy consists of a Monte…

Cryptography and Security · Computer Science 2012-10-26 Luís F. Seoane , Andreas Ruttor

In the present work, a peculiar property of hash-based signatures allowing detection of their forgery event is explored. This property relies on the fact that a successful forgery of a hash-based signature most likely results in a collision…

Cryptography and Security · Computer Science 2021-09-09 E. O. Kiktenko , M. A. Kudinov , A. A. Bulychev , A. K. Fedorov

In this paper a novel approach for matrix manipulation and indexing is proposed .Here the elements in a row of matrix are designated by numeric value called permutation index followed by the elements of the row being randomised. This is…

Cryptography and Security · Computer Science 2013-12-17 Rahul R Upadhyay

Scientific collaborations benefit from collaborative learning of distributed sources, but remain difficult to achieve when data are sensitive. In recent years, privacy preserving techniques have been widely studied to analyze distributed…

Cryptography and Security · Computer Science 2022-06-30 Guanhong Miao , A. Adam Ding , Samuel S. Wu

Social trust prediction addresses the significant problem of exploring interactions among users in social networks. Naturally, this problem can be formulated in the matrix completion framework, with each entry indicating the trustness or…

Social and Information Networks · Computer Science 2015-04-27 Jing Wang , Jie Shen , Huan Xu

Counterfeiting of manufactured goods is presented as the theft of intellectual property, patents, copyright etc. accompanied by identity theft. The purpose of the identity theft is to facilitate the intellectual property theft. Without it…

Cryptography and Security · Computer Science 2016-10-04 Joseph Kilcullen

The main result of this paper is the decidability of the membership problem for $2\times 2$ nonsingular integer matrices. Namely, we will construct the first algorithm that for any nonsingular $2\times 2$ integer matrices $M_1,\dots,M_n$…

Discrete Mathematics · Computer Science 2016-04-11 Igor Potapov , Pavel Semukhin

Online social media is integral to human life, facilitating messaging, information sharing, and confidential communication while preserving privacy. Platforms like Twitter, Instagram, and Facebook exemplify this phenomenon. However, users…

Social and Information Networks · Computer Science 2026-02-10 Jinus Bordbar , Mohammadreza Mohammadrezaie , Saman Ardalan , Mohammad Ebrahim Shiri

Membership inference (MI) attack is currently the most popular test for measuring privacy leakage in machine learning models. Given a machine learning model, a data point and some auxiliary information, the goal of an MI attack is to…

Machine Learning · Computer Science 2023-03-09 Zhifeng Kong , Amrita Roy Chowdhury , Kamalika Chaudhuri

Preserving data confidentiality in clouds is a key issue. Secret Sharing, a cryptographic primitive for the distribution of a secret among a group of $n$ participants designed so that only subsets of shareholders of cardinality $0 < t \leq…

Cryptography and Security · Computer Science 2015-09-04 Massimo Cafaro , Piergiuseppe Pellè

Unauthorized credit inquiries are also a central entry point for identity theft, with Social Security Numbers (SSNs) being widely utilized in fraudulent cases. Traditional credit inquiry systems do not usually possess strict user…

Cryptography and Security · Computer Science 2025-05-27 Gogulakrishnan Thiyagarajan , Vinay Bist , Prabhudarshi Nayak

Biometric recognition encompasses two operating modes. The first one is biometric identification which consists in determining the identity of an individual based on her biometrics and requires browsing the entire database (i.e., a 1:N…

Cryptography and Security · Computer Science 2022-07-19 Axel Durbet , Paul-Marie Grollemund , Pascal Lafourcade , Kevin Thiry-Atighehchi

Side-channel attacks are a major threat to the security of cryptosystems. Masking is a widely used countermeasure against such attacks, but proving the security of masked algorithms is error-prone without formal verification. In this work,…

Logic in Computer Science · Computer Science 2026-05-26 Satoshi Kura , Katsuyuki Takashima

This paper considers the problem of completing a matrix with many missing entries under the assumption that the columns of the matrix belong to a union of multiple low-rank subspaces. This generalizes the standard low-rank matrix completion…

Information Theory · Computer Science 2011-12-30 Brian Eriksson , Laura Balzano , Robert Nowak

Let K be a field of positive characteristic p, let R be either a group algebra K[G] or a restricted enveloping algebra u(L), and let I be the augmentation ideal of R. We first characterize those R for which I satisfies a polynomial identity…

Representation Theory · Mathematics 2012-02-17 David M. Riley , Mark C. Wilson

In this paper we give the first proof that, under reasonable assumptions, a problem related to counterfeiting quantum money from knots [Farhi et al. 2010] is hard. Along the way, we introduce the concept of a component mixer, define three…

Quantum Physics · Physics 2011-07-05 Andrew Lutomirski

Although Retrieval-Augmented Generation (RAG) systems have been widely applied, the privacy and security risks they face, such as data leakage and data poisoning, have not been systematically addressed yet. Existing defense strategies…

Cryptography and Security · Computer Science 2025-08-05 Pengcheng Zhou , Yinglun Feng , Zhongliang Yang