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We obfuscate words of a given length in a free monoid on two generators with a simple factorization algorithm (namely $SL_2(\mathbb{N})$) to create a public-key encryption scheme. We provide a reference implementation in Python and…

Cryptography and Security · Computer Science 2024-09-13 Robert Hines

Adversarial text attack research plays a crucial role in evaluating the robustness of NLP models. However, the increasing complexity of transformer-based architectures has dramatically raised the computational cost of attack testing,…

Computation and Language · Computer Science 2025-09-26 Abhinay Shankar Belde , Rohit Ramkumar , Jonathan Rusert

Rank Decoding (RD) is the main underlying problem in rank-based cryptography. Based on this problem and quasi-cyclic versions of it, very efficient schemes have been proposed recently, such as those in the ROLLO and RQC submissions, which…

Cryptography and Security · Computer Science 2021-02-10 Magali Bardet , Maxime Bros , Daniel Cabarcas , Philippe Gaborit , Ray Perlner , Daniel Smith-Tone , Jean-Pierre Tillich , Javier Verbel

The article is focused on research of an attack on the quantum key distribution system and proposes a countermeasure method. Particularly noteworthy is that this is not a classic attack on a quantum protocol. We describe an attack on the…

Quantum Physics · Physics 2021-04-29 Anton Pljonkin , Dmitry Petrov , Lilia Sabantina , Kamila Dakhkilgova

We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a…

Cryptography and Security · Computer Science 2019-02-18 Uddipana Dowerah , Srinivasan Krishnaswamy

Because of their interesting algebraic properties, several authors promote the use of generalized Reed-Solomon codes in cryptography. Niederreiter was the first to suggest an instantiation of his cryptosystem with them but Sidelnikov and…

Cryptography and Security · Computer Science 2014-03-31 Alain Couvreur , Philippe Gaborit , Valérie Gauthier-Umaña , Ayoub Otmani , Jean-Pierre Tillich

The Ring Learning-With-Errors (LWE) problem, whose security is based on hard ideal lattice problems, has proven to be a promising primitive with diverse applications in cryptography. There are however recent discoveries of faster algorithms…

Cryptography and Security · Computer Science 2017-06-22 Qi Cheng , Jun Zhang , Jincheng Zhuang

Verifying the robustness of machine learning models against evasion attacks at test time is an important research problem. Unfortunately, prior work established that this problem is NP-hard for decision tree ensembles, hence bound to be…

Machine Learning · Computer Science 2023-11-14 Stefano Calzavara , Lorenzo Cazzaro , Giulio Ermanno Pibiri , Nicola Prezza

We propose a new randomized ensemble technique with a provable security guarantee against black-box transfer attacks. Our proof constructs a new security problem for random binary classifiers which is easier to empirically verify and a…

Machine Learning · Computer Science 2020-02-25 Kevin Shi , Daniel Hsu , Allison Bishop

This letter presents a cryptanalysis of the modified McEliece cryptosystem recently proposed by Moufek, Guenda and Gulliver [24]. The system is based on the juxtaposition of quasi-cyclic LDPC and quasi-cyclic MDPC codes. The idea of our…

Cryptography and Security · Computer Science 2017-12-07 Vlad Dragoi , Hervé Talé Kalachi

We present a probabilistic framework for studying adversarial attacks on discrete data. Based on this framework, we derive a perturbation-based method, Greedy Attack, and a scalable learning-based method, Gumbel Attack, that illustrate…

Machine Learning · Computer Science 2018-06-01 Puyudi Yang , Jianbo Chen , Cho-Jui Hsieh , Jane-Ling Wang , Michael I. Jordan

Motivated by a desire to test the security of the pubic key exchange protocol of I. Anshel, M. Anshel, and D. Goldfeld, (``An Algebraic Method for Public-Key Cryptography'', Mathematical Research Letters, vol. 6, pp. 1-5, 1999), we study…

Group Theory · Mathematics 2007-05-23 James L. Ulrich

Given positive integers $a_1,..., a_n, t$, the fixed weight subset sum problem is to find a subset of the $a_i$ that sum to $t$, where the subset has a prescribed number of elements. It is this problem that underlies the security of modern…

Combinatorics · Mathematics 2012-01-16 Andrew Shallue

In various occasions the conjugacy problem in finitely generated amalgamated products and HNN extensions can be decided efficiently for elements which cannot be conjugated into the base groups. This observation asks for a bound on how many…

Group Theory · Mathematics 2016-05-09 Volker Diekert , Alexei G. Myasnikov , Armin Weiß

Association as a gift enables people do not have to mention something in completely straightforward words and allows others to understand what they intend to refer to. In this paper, we propose a chain association-based adversarial attack…

Computation and Language · Computer Science 2024-11-13 Jiacheng Huang , Long Chen

Block ciphers are in widespread use since the 1970s. Their iterated structure is prone to numerous round invariant attacks for example in Linear Cryptanalysis (LC). The next step is to look at non-linear polynomial invariants cf.…

Cryptography and Security · Computer Science 2020-02-11 Nicolas T. Courtois

This thesis aims to use intelligent systems to extend and improve performance and security of cryptographic techniques. Genetic algorithms framework for cryptanalysis problem is addressed. A novel extension to the differential cryptanalysis…

Neural and Evolutionary Computing · Computer Science 2014-01-16 Ayman M. Bahaa-Eldin

We present an attack against a code-based signature scheme based on the Lyubashevsky protocol that was recently proposed by Song, Huang, Mu, Wu and Wang (SHMWW). The private key in the SHMWW scheme contains columns coming in part from an…

Cryptography and Security · Computer Science 2021-07-07 Nicolas Aragon , Marco Baldi , Jean-Christophe Deneuville , Karan Khathuria , Edoardo Persichetti , Paolo Santini

The cycling operation endows the super summit set $S_x$ of any element $x$ of a Garside group $G$ with the structure of a directed graph $\Gamma_x$. We establish that the subset $U_x$ of $S_x$ consisting of the circuits of $\Gamma_x$ can be…

Geometric Topology · Mathematics 2007-05-23 Volker Gebhardt

Deep learning on graph structures has shown exciting results in various applications. However, few attentions have been paid to the robustness of such models, in contrast to numerous research work for image or text adversarial attack and…

Machine Learning · Computer Science 2018-06-08 Hanjun Dai , Hui Li , Tian Tian , Xin Huang , Lin Wang , Jun Zhu , Le Song