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Related papers: Authentication from matrix conjugation

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After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that the conjugacy search problem is unlikely to provide sufficient level of…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

The existing authentication system has two entry points (i.e., username and password fields) to interact with the outside, but neither of them has a gatekeeper, making the system vulnerable to cyberattacks. In order to ensure the…

Cryptography and Security · Computer Science 2024-09-26 Suyun Borjigin

A polynomial identity testing algorithm must determine whether a given input polynomial is identically equal to 0. We give a deterministic black-box identity testing algorithm for univariate polynomials of the form $\sum_{j=0}^t c_j…

Computational Complexity · Computer Science 2009-12-08 Pascal Koiran

Encrypted computation opens up promising avenues across a plethora of application domains, including machine learning, health-care, finance, and control. Arithmetic homomorphic encryption, in particular, is a natural fit for cloud-based…

Cryptography and Security · Computer Science 2024-10-29 Janis Adamek , Philipp Binfet , Nils Schlüter , Moritz Schulze Darup

In this paper we present the first practical attack on the shifted conjugacy-based authentication protocol proposed by P. Dehornoy. We discuss the weaknesses of that primitive and propose ways to improve the protocol.

Group Theory · Mathematics 2007-08-15 Jonathan Longrigg , Alexander Ushakov

We analyze the Sibert et al. group-based (Feige-Fiat-Shamir type) authentication protocol and show that the protocol is not computationally zero-knowledge. In addition, we provide experimental evidence that our approach is practical and can…

Group Theory · Mathematics 2010-06-25 Natalia Mosina , Alexander Ushakov

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy…

Machine Learning · Computer Science 2023-12-19 Elad Hazan , Adam Tauman Kalai , Varun Kanade , Clara Mohri , Y. Jennifer Sun

Although sufficient authentication mechanisms were enhanced by the use of two or more factors that resulted in new multi factor authentication schemes, more sophisticated and targeted attacks have shown they are also vulnerable. This…

The majority of systems rely on user authentication on passwords, but passwords have so many weaknesses and widespread use that easily raise significant security concerns, regardless of their encrypted form. Users hold the same password for…

Cryptography and Security · Computer Science 2021-01-22 Vassilis Papaspirou , Leandros Maglaras , Mohamed Amine Ferrag , Ioanna Kantzavelou , Helge Janicke , Christos Douligeris

The exponential of an NxN matrix can always be expressed as a matrix polynomial of order N-1. In particular, a general group element for the fundamental representation of SU(N) can be expressed as a matrix polynomial of order N-1 in a…

Representation Theory · Mathematics 2016-01-20 T. S. Van Kortryk

Multi-modal retrieval-augmented generation (MRAG) systems retrieve visual evidence from large image corpora to ground the responses of large multi-modal models, yet the retrieved images frequently contain human faces whose identities…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Zehua Cheng , Wei Dai , Jiahao Sun

Recently, two certificateless three-party authenticated key agreement protocols were proposed, and both protocols were claimed they can meet the desirable security properties including forward security, key compromise impersonation…

Cryptography and Security · Computer Science 2013-01-23 Haiyan Sun , Qiaoyan Wen , Hua Zhang , Zhengping Jin , Wenmin Li

We present new schemes for solving prefix authentication and secure relative timestamping. By casting a new light on antimonotone linking schemes, we improve upon the state of the art in prefix authentication, and in timestamping with…

Cryptography and Security · Computer Science 2023-08-30 Aljoscha Meyer

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

Shamir or Blakley secret sharing schemes are used for the authentication process in the studies before, but still secure group authentication and hand-over process remain as challenges in group authentication approaches. In this study, a…

Cryptography and Security · Computer Science 2019-08-28 Yucel Aydin , Gunes Karabulut Kurt , Enver Ozdemır

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

Cryptography and Security · Computer Science 2017-02-27 James Dyer , Martin Dyer , Jie Xu

A novel matrix approximation problem is considered herein: observations based on a few fully sampled columns and quasi-polynomial structural side information are exploited. The framework is motivated by quantum chemistry problems wherein…

Signal Processing · Electrical Eng. & Systems 2023-05-23 Jeongmin Chae , Praneeth Narayanamurthy , Selin Bac , Shaama Mallikarjun Sharada , Urbashi Mitra

We propose a new cryptosystem based on polycyclic groups. The cryptosystem is based on the fact that the word problem can be solved effectively in polycyclic groups, while the known solutions to the conjugacy problem are far less efficient.

Group Theory · Mathematics 2007-05-23 Bettina Eick , Delaram Kahrobaei

Empirical investigations into unintended model behavior often show that the algorithm is predicting another outcome than what was intended. These exposes highlight the need to identify when algorithms predict unintended quantities - ideally…

Methodology · Statistics 2026-01-27 Amanda Coston