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Algebraic Manipulation Detection (AMD) codes is a cryptographic primitive that was introduced by Cramer, Dodis, Fehr, Padro and Wichs. They are keyless message authentication codes that protect messages against additive tampering by the…

Cryptography and Security · Computer Science 2025-05-12 Divesh Aggarwal , Tomasz Kazana , Maciej Obremski

Encryption schemes based on the rank metric lead to small public key sizes of order of few thousands bytes which represents a very attractive feature compared to Hamming metric-based encryption schemes where public key sizes are of order of…

Cryptography and Security · Computer Science 2017-04-17 Philippe Gaborit , Ayoub Otmani , Hervé Talé Kalachi

We bring in here a novel algebraic approach for attacking the McEliece cryptosystem. It consists in introducing a subspace of matrices representing quadratic forms. Those are associated with quadratic relationships for the component-wise…

Cryptography and Security · Computer Science 2023-08-25 Alain Couvreur , Rocco Mora , Jean-Pierre Tillich

The general adversary dual is a powerful tool in quantum computing because it gives a query-optimal bounded-error quantum algorithm for deciding any Boolean function. Unfortunately, the algorithm uses linear qubits in the worst case, and…

Quantum Physics · Physics 2023-06-28 Michael Czekanski , Shelby Kimmel , R. Teal Witter

As Large Language Models (LLMs) are widely used, understanding them systematically is key to improving their safety and realizing their full potential. Although many models are aligned using techniques such as reinforcement learning from…

Machine Learning · Computer Science 2025-05-16 Sajib Biswas , Mao Nishino , Samuel Jacob Chacko , Xiuwen Liu

Advanced Encryption Standard is one of the most widely used and important symmetric ciphers for today. It well known, that it can be subjected to the quantum Grover's attack that twice reduces its key strength. But full AES attack requires…

Quantum Physics · Physics 2023-04-12 Alexey Moiseevskiy

In this paper, we study applications of Bernstein-Vazirani algorithm and present several new methods to attack block ciphers. Specifically, we first present a quantum algorithm for finding the linear structures of a function. Based on it,…

Quantum Physics · Physics 2018-07-17 Huiqin Xie , Li Yang

Black-box query attacks, which rely only on the output of the victim model, have proven to be effective in attacking deep learning models. However, existing black-box query attacks show low performance in a novel scenario where only a few…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Xiangyuan Yang , Jie Lin , Hanlin Zhang , Xinyu Yang , Peng Zhao

A generalization of the reduction technique for ODEs recently introduced by Gao and Liu is given. It is shown that the use of algebraic methods allows the extension of the procedure to much more general flows, as well as the derivation of…

Dynamical Systems · Mathematics 2019-11-06 Benito Hernández-Bermejo , Victor Fairén

Searchable symmetric encryption schemes often unintentionally disclose certain sensitive information, such as access, volume, and search patterns. Attackers can exploit such leakages and other available knowledge related to the user's…

Cryptography and Security · Computer Science 2024-03-05 Hao Nie , Wei Wang , Peng Xu , Xianglong Zhang , Laurence T. Yang , Kaitai Liang

Within the machine learning community, reconstruction attacks are a principal attack of concern and have been identified even in federated learning, which was designed with privacy preservation in mind. In federated learning, it has been…

Quantum key distribution (QKD) can be used to generate secret keys between two distant parties. Even though QKD has been proven unconditionally secure against eavesdroppers with unlimited computation power, practical implementations of QKD…

Quantum Physics · Physics 2007-07-13 Chi-Hang Fred Fung , Bing Qi , Kiyoshi Tamaki , Hoi-Kwong Lo

We give a polynomial time attack on the McEliece public key cryptosystem based on subcodes of algebraic geometry (AG) codes. The proposed attack reposes on the distinguishability of such codes from random codes using the Schur product.…

Information Theory · Computer Science 2014-09-30 Alain Couvreur , Irene Márquez-Corbella , Ruud Pellikaan

Deep Neural Networks (DNNs) in Computer Vision (CV) are well-known to be vulnerable to Adversarial Examples (AEs), namely imperceptible perturbations added maliciously to cause wrong classification results. Such variability has been a…

Cryptography and Security · Computer Science 2020-07-31 Yi Zeng , Han Qiu , Gerard Memmi , Meikang Qiu

The BBCRS scheme is a variant of the McEliece public-key encryption scheme where the hiding phase is performed by taking the inverse of a matrix which is of the form $\mathbf{T} +\mathbf{R}$ where $\mathbf{T}$ is a sparse matrix with…

Cryptography and Security · Computer Science 2015-01-16 Alain Couvreur , Ayoub Otmani , Jean-Pierre Tillich , Valérie Gauthier-Umana

In the papers by Alvarez et al. and Pathak and Sanghi a non-commutative based public key exchange is described. A similiar version of it has also been patented (US7184551). In this paper we present a polynomial time attack that breaks the…

Information Theory · Computer Science 2019-02-13 Giacomo Micheli

This article introduces a novel cryptographic paradigm based on nonderived polyadic algebraic structures. Traditional cryptosystems rely on binary operations within groups, rings, or fields, whose well-understood properties can be exploited…

Cryptography and Security · Computer Science 2025-12-17 Steven Duplij , Na Fu , Qiang Guo

Algebraic cryptanalysis usually requires to recover the secret key by solving polynomial equations. Grobner bases algorithm is a well-known method to solve this problem. However, a serious drawback exists in the Grobner bases based…

Cryptography and Security · Computer Science 2015-07-19 Wansu Bao , Heliang Huang

One of the major issues of cryptography is the cryptanalysis of cipher algorithms. Cryptanalysis is the study of methods for obtaining the meaning of encrypted information, without access to the secret information that is normally required.…

Cryptography and Security · Computer Science 2016-09-14 Michel Dubois , Eric Filiol

A new approach on cryptanalysis is proposed where the goal is to explore the fundamental limits of a specific class of attacks against a particular cryptosystem. As a first step, the approach is applied on ABSG, which is an LFSR-based…

Cryptography and Security · Computer Science 2008-05-05 Yucel Altug , M. Kivanc Mihcak