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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,…

密码学与安全 · 计算机科学 2012-02-06 Dorian Goldfeld , 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…

群论 · 数学 2016-06-03 Adi Ben-Zvi , Simon R. Blackburn , Boaz Tsaban

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…

群论 · 数学 2012-07-04 Arkadius Kalka , Mina Teicher , Boaz Tsaban

The Anshel-Anshel-Goldfeld-Lemieux (abbreviated AAGL) key agreement protocol is proposed to be used on low-cost platforms which constraint the use of computational resources. The core of the protocol is the concept of an Algebraic Eraser…

群论 · 数学 2008-02-01 Alex D. Myasnikov , Alexander Ushakov

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,…

密码学与安全 · 计算机科学 2016-01-20 Iris Anshel , Derek Atkins , Dorian Goldfeld , Paul E. Gunnells

Authenticated Key Exchange (AKE) protocols represent an important cryptographic mechanism that enables several parties to communicate securely over an open network. Elashry, Mu and Susilo proposed in 2015 an Identity Based Authenticated Key…

密码学与安全 · 计算机科学 2017-10-31 Younes Hatri , Ayoub Otmani , Kenza Guenda

Number theoretic public-key solutions, currently used in many applications worldwide, will be subject to various quantum attacks, making them less attractive for longer-term use. Certain group theoretic constructs are now showing promise in…

密码学与安全 · 计算机科学 2019-09-17 Iris Anshel , Derek Atkins , Dorian Goldfeld , Paul E. Gunnells

We give polynomial time attacks on the McEliece public key cryptosystem based either on algebraic geometry (AG) codes or on small codimensional subcodes of AG codes. These attacks consist in the blind reconstruction either of an Error…

信息论 · 计算机科学 2017-06-06 Alain Couvreur , Irene Márquez-Corbella , Ruud Pellikaan

Attribute-based encryption (ABE) is a promising cryptographic mechanism for providing confidentiality and fine-grained access control in the cloud-based area. However, due to high computational overhead, common ABE schemes are not suitable…

密码学与安全 · 计算机科学 2021-07-22 Mostafa Chegenizadeh , Mohammad Ali , Javad Mohajeri , Mohammad Reza Aref

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…

群论 · 数学 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

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.…

密码学与安全 · 计算机科学 2012-07-24 Z. Zhao , Z. Dongand Yongge Wang

Blockchain transactions have gained widespread adoption across various industries, largely attributable to their unparalleled transparency and robust security features. Nevertheless, this technique introduces various privacy concerns,…

密码学与安全 · 计算机科学 2023-12-19 Yuping Yan , George Shao , Dennis Song , Mason Song , Yaochu Jin

In a 2005 IACR report, Wang published an efficient identity-based key agreement protocol (IDAK) suitable for resource constrained devices. The author shows that the IDAK key agreement protocol is secure in the Bellare-Rogaway model with…

密码学与安全 · 计算机科学 2013-12-17 Maurizio Adriano Strangio

Anamorphic encryption serves as a vital tool for covert communication, maintaining secrecy even during post-compromise scenarios. Particularly in the receiver-anamorphic setting, a user can shield hidden messages even when coerced into…

密码学与安全 · 计算机科学 2026-04-10 Shujun Wang , Jianting Ning , Qinyi Li , Leo Yu Zhang

Searchable Encryption (SE) enables users to query outsourced encrypted data while preserving data confidentiality. However, most efficient schemes still leak the search pattern and access pattern, which may allow an honest-but-curious cloud…

密码学与安全 · 计算机科学 2026-04-10 Jing Zhang , Ganxuan Yang , Yifei Yang , Siqi Wen , Zhengyang Qiu

Blockchain-based Attribute-Based Access Control (BC-ABAC) offers a decentralized paradigm for secure data governance but faces two inherent challenges: the transparency of blockchain ledgers threatens user privacy by enabling…

密码学与安全 · 计算机科学 2026-05-26 Jie Zhang , Xiaohong Li , Mengke Zhang , Ruitao Feng , Shanshan Xu , Zhe Hou , Guangdong Bai

Homomorphic encryption (HE) has found extensive utilization in federated learning (FL) systems, capitalizing on its dual advantages: (i) ensuring the confidentiality of shared models contributed by participating entities, and (ii) enabling…

密码学与安全 · 计算机科学 2023-08-10 Dongfang Zhao

The sharing of information between agencies is effective in dealing with cross-jurisdictional criminal activities; however, such sharing is often restricted due to concerns about data privacy, ownership, and compliance. Towards this end,…

密码学与安全 · 计算机科学 2025-05-06 Om Rathod , Aastha Baid , Aswani Kumar Cherukuri

One of the possible generalizations of the discrete logarithm problem to arbitrary groups is the so-called conjugacy search problem (sometimes erroneously called just the conjugacy problem): given two elements a, b of a group G and the…

群论 · 数学 2007-05-23 Vladimir Shpilrain

DAGS scheme is a key encapsulation mechanism (KEM) based on quasi-dyadic alternant codes that was submitted to NIST standardization process for a quantum resistant public key algorithm. Recently an algebraic attack was devised by Barelli…

密码学与安全 · 计算机科学 2021-03-05 Magali Bardet , Manon Bertin , Alain Couvreur , Ayoub Otmani
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