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Related papers: On the AAGL Protocol

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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…

Group Theory · Mathematics 2008-02-01 Alex D. Myasnikov , Alexander Ushakov

We investigate security properties of the Anshel-Anshel-Goldfeld commutator key-establishment protocol used with certain polycyclic groups. We show that despite low success of the length based attack the protocol can be broken by a…

Group Theory · Mathematics 2015-04-21 Matvei Kotov , Alexander Ushakov

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…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain

Yeh et al. recently have proposed a mutual authentication protocol based on EPC Class-1 Gen.-2 standard [1]. They have claimed that their protocol is secure against adversarial attacks and also provides forward secrecy. In this paper we…

Cryptography and Security · Computer Science 2011-02-07 Mohammad Hassan Habibi , Mahmud Gardeshi , Mahdi R. Alaghband

After the Anshel-Anshel-Goldfeld (AAG) key-exchange protocol was introduced in 1999, it was implemented and studied with braid groups and with the Thompson group as its underlying platforms. The length-based attack, introduced by Hughes and…

Group Theory · Mathematics 2014-11-25 David Garber , Delaram Kahrobaei , Ha T. Lam

In this note, we describe a probabilistic attack on public key cryptosystems based on the word/conjugacy problems for finitely presented groups of the type proposed recently by Anshel, Anshel and Goldfeld. In such a scheme, one makes use of…

Cryptography and Security · Computer Science 2007-05-23 James Hughes , Allen Tannenbaum

The purpose of the paper is to give new key agreement protocols (a multi-party extension of the protocol due to Anshel-Anshel-Goldfeld and a generalization of the Diffie-Hellman protocol from abelian to solvable groups) and a new…

Group Theory · Mathematics 2007-05-23 Dimitri Grigoriev , Ilia Ponomarenko

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

RFID (Radio Frequency Identification) is a powerful technology that, due to its numerous advantages, is supposed to replace the various identification systems such as barcodes or magnetic stripes in a short time. There are three devices…

Cryptography and Security · Computer Science 2019-06-10 Ciampi Giovanni

In this paper, we analyze the security of an RFID authentication protocol proposed by Liu and Bailey [1], called Privacy and Authentication Protocol (PAP), and show its vulnerabilities and faulty assumptions. PAP is a privacy and…

Cryptography and Security · Computer Science 2010-08-24 Mu'awya Naser , Pedro Peris-Lopez , Mohammd Rafie , Jan van der Lubbe

Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established protocols based on numeric computation. Notably, the protocols…

Group Theory · Mathematics 2016-09-07 Vladimir Shpilrain , Alexander Ushakov

Proper privacy protection in RFID systems is important. However, many of the schemes known are impractical, either because they use hash functions instead of the more hardware efficient symmetric encryption schemes as a efficient…

Cryptography and Security · Computer Science 2010-02-25 Jaap-Henk Hoepman , Rieks Joosten

Security in passive resource-constrained Radio Frequency Identification (RFID) tags is of much interest nowadays. Resistance against illegal tracking, cloning, timing, and replay attacks are necessary for a secure RFID authentication…

Cryptography and Security · Computer Science 2012-09-25 Atsuko Miyaji , Mohammad Shahriar Rahman , Masakazu Soshi

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

Lattices have many significant applications in cryptography. In 2021, the $p$-adic signature scheme and public-key encryption cryptosystem were introduced. They are based on the Longest Vector Problem (LVP) and the Closest Vector Problem…

Cryptography and Security · Computer Science 2025-03-24 Chi Zhang

The conjugacy search problem in a group G is the problem of recovering an x in G from given g in G and h=x^{-1}gx. This problem is in the core of several recently suggested public key exchange protocols, most notably the one due to Anshel,…

Group Theory · Mathematics 2016-09-07 Vladimir Shpilrain , Alexander Ushakov

Radio Frequency Identification (RFID) and biometric technologies saw fast evolutions during the last years and which are used in several applications, such as access control. Among important characteristics in the RFID tags, we mention the…

Cryptography and Security · Computer Science 2012-07-25 Noureddine Chikouche , Foudil Cherif , Mohamed Benmohammed

As AI rapidly advances, the security risks posed by AI are becoming increasingly severe, especially in critical scenarios, including those posing existential risks. If AI becomes uncontrollable, manipulated, or actively evades safety…

Artificial Intelligence · Computer Science 2025-08-29 Donglin Wang , Weiyun Liang , Chunyuan Chen , Jing Xu , Yulong Fu

Security and privacy are the inherent problems in RFID communications. There are several protocols have been proposed to overcome those problems. Hash chain is commonly employed by the protocols to improve security and privacy for RFID…

Cryptography and Security · Computer Science 2010-08-17 Irfan Syamsuddin , Tharam Dillon , Elizabeth Chang , Song Han

Recently, Alomair et al. proposed the first UnConditionally Secure mutual authentication protocol for low-cost RFID systems(UCS-RFID). The security of the UCS-RFID relies on five dynamic secret keys which are updated at every protocol run…

Cryptography and Security · Computer Science 2012-01-18 Mohammad Reza Sohizadeh Abyaneh
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