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This note describes a technique for generating large non-singular matrices with blocks of full rank. Our motivation to construct such matrices arises in the white-box implementation of cryptographic algorithms with S-boxes.

Rings and Algebras · Mathematics 2007-05-23 James Xiao , Yongxin Zhou

The growing interest for adversarial examples, i.e. maliciously modified examples which fool a classifier, has resulted in many defenses intended to detect them, render them inoffensive or make the model more robust against them. In this…

Machine Learning · Computer Science 2021-03-04 Rémi Bernhard , Pierre-Alain Moellic , Jean-Max Dutertre

Group authentication is a method of confirmation that a set of users belong to a group and of distributing a common key among them. Unlike the standard authentication schemes where one central authority authenticates users one by one, group…

Cryptography and Security · Computer Science 2024-05-07 Sueda Guzey , Gunes Karabulut Kurt , Enver Ozdemir

This paper is a short summery of results announced in a previous paper on a new universal method for Cryptanalysis which uses a Black Box linear algebra approach to computation of local inversion of nonlinear maps in finite fields. It is…

Cryptography and Security · Computer Science 2022-07-26 Virendra Sule

Black box attacks, where adversaries have limited knowledge of the target model, pose a significant threat to machine learning systems. Adversarial examples generated with a substitute model often suffer from limited transferability to the…

Machine Learning · Computer Science 2024-10-22 Bar Avraham , Yisroel Mirsky

This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

Adversarial attacks have threatened the application of deep neural networks in security-sensitive scenarios. Most existing black-box attacks fool the target model by interacting with it many times and producing global perturbations.…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Tao Xiang , Hangcheng Liu , Shangwei Guo , Tianwei Zhang , Xiaofeng Liao

In this paper we give a polynomial-time quantum algorithm for computing orders of solvable groups. Several other problems, such as testing membership in solvable groups, testing equality of subgroups in a given solvable group, and testing…

Quantum Physics · Physics 2007-05-23 John Watrous

We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent…

Cryptography and Security · Computer Science 2025-07-14 Gennady Khalimov , Yevgen Kotukh

Although a large number of optimization algorithms have been proposed for black box optimization problems, the no free lunch theorems inform us that no algorithm can beat others on all types of problems. Different types of optimization…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Yaodong He , Shiu Yin Yuen

We propose an intriguingly simple method for the construction of adversarial images in the black-box setting. In constrast to the white-box scenario, constructing black-box adversarial images has the additional constraint on query budget,…

Machine Learning · Computer Science 2019-08-16 Chuan Guo , Jacob R. Gardner , Yurong You , Andrew Gordon Wilson , Kilian Q. Weinberger

This article studies the categorical setting of Abramsky, Haghverdi, and Scott's untyped linear combinatory algebras, and relates this to more recent work of Abramsky and Heunen on Frobenius algebras in the infinitary setting. The key to…

Category Theory · Mathematics 2022-02-17 Peter Hines

Using the theory of group action, we first introduce the concept of the automorphism group of an exponential family or a graphical model, thus formalizing the general notion of symmetry of a probabilistic model. This automorphism group…

Artificial Intelligence · Computer Science 2012-07-24 Hung Hai Bui , Tuyen N. Huynh , Sebastian Riedel

Black-Box attacks on machine learning models occur when an attacker, despite having no access to the inner workings of a model, can successfully craft an attack by means of model theft. The attacker will train an own substitute model that…

Machine Learning · Computer Science 2017-11-16 Yannic Kilcher , Thomas Hofmann

Large language models (LLMs) have been serving as effective backbones for retrieval systems, including Retrieval-Augmentation-Generation (RAG), Dense Information Retriever (IR), and Agent Memory Retrieval. Recent studies have demonstrated…

Cryptography and Security · Computer Science 2026-05-18 Jiate Li , Defu Cao , Li Li , Wei Yang , Yuehan Qin , Chenxiao Yu , Tiannuo Yang , Ryan A. Rossi , Yan Liu , Xiyang Hu , Yue Zhao

We present a new group law defined on a subset of the projective plane $\mathbb{F}P^2$ over an arbitrary field $\mathbb{F}$, which lends itself to applications in Public Key Cryptography, in particular to a Diffie-Hellman-like key agreement…

Cryptography and Security · Computer Science 2020-06-24 R. Durán Díaz , V. Gayoso Martínez , L. Hernández Encinas , J. Muñoz Masqué

We consider two basic algorithmic problems concerning tuples of (skew-)symmetric matrices. The first problem asks to decide, given two tuples of (skew-)symmetric matrices $(B_1, \dots, B_m)$ and $(C_1, \dots, C_m)$, whether there exists an…

Data Structures and Algorithms · Computer Science 2019-02-08 Gábor Ivanyos , Youming Qiao

We establish an algorithm to encrypt and decrypt messages, where messages can be seen as elements of a finite field, using of mutations in a cluster algebra finite type.

Rings and Algebras · Mathematics 2026-05-12 Martin Ortiz Morales , Leticia Pena Tellez

Deep neural networks are powerful and popular learning models that achieve state-of-the-art pattern recognition performance on many computer vision, speech, and language processing tasks. However, these networks have also been shown…

Machine Learning · Computer Science 2016-12-20 Nina Narodytska , Shiva Prasad Kasiviswanathan

In this paper we propose new methods to statistically assess $f$-Differential Privacy ($f$-DP), a recent refinement of differential privacy (DP) that remedies certain weaknesses of standard DP (including tightness under algorithmic…

Cryptography and Security · Computer Science 2025-06-16 Önder Askin , Holger Dette , Martin Dunsche , Tim Kutta , Yun Lu , Yu Wei , Vassilis Zikas
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