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Related papers: Cryptanalysis of Anshel-Anshel-Goldfeld-Lemieux ke…

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Recently the AAGL (Anshel-Anshel-Goldfeld-Lemieux) has been proposed which can be used for RFID tags. We give algorithms for the problem (we call the MSCSPv) on which the security of the AAGL protocol is based upon. Hence we give various…

Cryptography and Security · Computer Science 2007-11-23 M. M. Chowdhury

The Algebraic Eraser (AE) is a cryptographic primitive that can be used to obscure information in certain algebraic cryptosystems. The Colored Burau Key Agreement Protocol (CBKAP), which is built on the AE, was introduced by I. Anshel, M.…

Cryptography and Security · Computer Science 2011-05-06 Paul E. Gunnells

Anshel, Anshel, Goldfeld and Lemieaux introduced the Colored Burau Key Agreement Protocol (CBKAP) as the concrete instantiation of their Algebraic Eraser scheme. This scheme, based on techniques from permutation groups, matrix groups and…

Group Theory · Mathematics 2016-06-03 Adi Ben-Zvi , Simon R. Blackburn , Boaz Tsaban

The Algebraic Eraser Diffie-Hellman (AEDH) protocol was introduced in 2005 and published in 2006 by Anshel-Anshel-Goldfeld-Lemieux as a protocol suitable for use on platforms with constrained computational resources, such as FPGAs, ASICs,…

Cryptography and Security · Computer Science 2016-01-20 Iris Anshel , Derek Atkins , Dorian Goldfeld , Paul E. Gunnells

Autonomous digital entities require deterministic identity mechanisms that avoid persistent storage of high-value master secrets, while supporting credential rotation and cryptographic agility across heterogeneous systems. Existing…

Cryptography and Security · Computer Science 2026-02-27 Jian Sheng Wang

In this paper,we propose a modified Anshel-Anshel-Goldfeld(AAG) key exchange scheme. The hardness assumption underlying this modified construction is based on the membership problem for Mihailova subgroups of the braid group, a problem that…

Group Theory · Mathematics 2026-01-27 Hanling Lin , Yu Han

In antiquity, the seal embodied trust, secrecy, and integrity in safeguarding the exchange of letters and messages. The purpose of this work is to continue this tradition in the contemporary era, characterized by the presence of quantum…

Information Theory · Computer Science 2026-01-19 Andrea Rondelli

The Algebraic Eraser (AE) is a public key protocol for sharing information over an insecure channel using commutative and noncommutative groups; a concrete realization is given by Colored Burau Key Agreement Protocol (CBKAP). In this paper,…

Cryptography and Security · Computer Science 2012-02-06 Dorian Goldfeld , Paul E. Gunnells

The rapid development of IoT networks has led to a research trend in designing effective security features for them. Due to the power-constrained nature of IoT devices, the security features should remain as lightweight as possible.…

Cryptography and Security · Computer Science 2022-11-01 Seyedsina Nabavirazavi , S. Sitharama Iyengar

Homomorphic encryption (HE) is widely adopted in untrusted environments such as federated learning. A notable limitation of conventional single-key HE schemes is the stringent security assumption regarding collusion between the parameter…

Cryptography and Security · Computer Science 2023-12-29 Dongfang Zhao

Leveraging federated learning (FL) to enable cross-domain privacy-sensitive data mining represents a vital breakthrough to accomplish privacy-preserving learning. However, attackers can infer the original user data by analyzing the uploaded…

Cryptography and Security · Computer Science 2023-12-12 Siqing Zhang , Yong Liao , Pengyuan Zhou

Graph-based retrieval-augmented generation (GraphRAG) systems construct knowledge graphs over document collections to support multi-hop reasoning. While prior work shows that GraphRAG responses may leak retrieved subgraphs, the feasibility…

Artificial Intelligence · Computer Science 2026-04-21 Shuhua Yang , Jiahao Zhang , Yilong Wang , Dongwon Lee , Suhang Wang

In recent years, several protocols for password-based authenticated key exchange have been proposed. These protocols aim to be secure even though the sample space of passwords may be small enough to be enumerated by an off-line adversary.…

Cryptography and Security · Computer Science 2012-07-24 Z. Zhao , Z. Dongand Yongge Wang

The Internet of Things (IoT) relies heavily on resource-limited devices to communicate critical (e.g., military data) information under low-energy adversarial environments and low-latency wireless channels. Authenticated Encryption (AE)…

Cryptography and Security · Computer Science 2025-10-28 Saif E. Nouma , Attila A. Yavuz

In this paper we discuss generic properties of "random subgroups" of a given group G. It turns out that in many groups G (even in most exotic of them) the random subgroups have a simple algebraic structure and they "sit" inside G in a very…

Group Theory · Mathematics 2007-07-12 Alexei G. Myasnikov , Alexander Ushakov

With the advancement in capabilities of Large Language Models (LLMs), one major step in the responsible and safe use of such LLMs is to be able to detect text generated by these models. While supervised AI-generated text detectors perform…

Computation and Language · Computer Science 2024-03-26 Amrita Bhattacharjee , Raha Moraffah , Joshua Garland , Huan Liu

On March 2004, Anshel, Anshel, Goldfeld, and Lemieux introduced the \emph{Algebraic Eraser} scheme for key agreement over an insecure channel, using a novel hybrid of infinite and finite noncommutative groups. They also introduced the…

Group Theory · Mathematics 2012-07-04 Arkadius Kalka , Mina Teicher , Boaz Tsaban

Attribute-based encryption (ABE) which allows users to encrypt and decrypt messages based on user attributes is a type of one-to-many encryption. Unlike the conventional one-to-one encryption which has no intention to exclude any partners…

Cryptography and Security · Computer Science 2014-08-22 Zhengjun Cao , Lihua Liu

Privacy-preserving machine learning (PPML) is an emerging topic to handle secure machine learning inference over sensitive data in untrusted environments. Fully homomorphic encryption (FHE) enables computation directly on encrypted data on…

Cryptography and Security · Computer Science 2025-10-24 Yu Hin Chan , Hao Yang , Shiyu Shen , Xingyu Fan , Shengzhe Lyu , Patrick S. Y. Hung , Ray C. C. Cheung

Large scale deep learning model, such as modern language models and diffusion architectures, have revolutionized applications ranging from natural language processing to computer vision. However, their deployment in distributed or…

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