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Related papers: A Practical Cryptanalysis of the Algebraic Eraser

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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

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

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 Algebraic Eraser has been gaining prominence as SecureRF, the company commercializing the algorithm, increases its marketing reach. The scheme is claimed to be well-suited to IoT applications but a lack of detail in available…

Cryptography and Security · Computer Science 2016-06-03 Simon R. Blackburn , M. J. B. Robshaw

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

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

Integer factorization remains a significant challenge for classical computers and is fundamental to the security of RSA encryption. Adiabatic quantum algorithms present a promising solution, yet their practical implementation is limited by…

Quantum Physics · Physics 2025-05-23 Tianlai Yang , Mo Xiong , Ming Xue , Xinwei Li , Jinbin Li

Authors of cryptographic software are well aware that their code should not leak secrets through its timing behavior, and, until 2018, they believed that following industry-standard constant-time coding guidelines was sufficient. However,…

Cryptography and Security · Computer Science 2025-09-11 Shixin Song , Tingzhen Dong , Kosi Nwabueze , Julian Zanders , Andres Erbsen , Adam Chlipala , Mengjia Yan

With the wide application of biometrics, more and more attention has been paid to the security of biometric templates. However most of existing biometric template protection (BTP) methods have some security problems, e.g. the problem that…

Cryptography and Security · Computer Science 2024-08-08 Baogang Song , Dongdong Zhao , Jiang Yan , Huanhuan Li , Hao Jiang

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…

Cryptography and Security · Computer Science 2021-03-05 Magali Bardet , Manon Bertin , Alain Couvreur , Ayoub Otmani

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…

Cryptography and Security · Computer Science 2021-07-22 Mostafa Chegenizadeh , Mohammad Ali , Javad Mohajeri , Mohammad Reza Aref

We introduce CryptoBap, a platform to verify weak secrecy and authentication for the (ARMv8 and RISC-V) machine code of cryptographic protocols. We achieve this by first transpiling the binary of protocols into an intermediate…

Cryptography and Security · Computer Science 2023-09-19 Faezeh Nasrabadi , Robert Künnemann , Hamed Nemati

Homomorphic encryption is a cryptographic paradigm allowing to compute on encrypted data, opening a wide range of applications in privacy-preserving data manipulation, notably in AI. Many of those applications require significant linear…

Cryptography and Security · Computer Science 2026-04-28 Youngjin Bae , Jung Hee Cheon , Guillaume Hanrot , Jai Hyun Park , Damien Stehlé

Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The…

Cryptography and Security · Computer Science 2011-03-23 Benjamin Fine , Maggie Habeeb , Delaram Kahrobaei , Gerhard Rosenberger

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…

Cryptography and Security · Computer Science 2017-10-31 Younes Hatri , Ayoub Otmani , Kenza Guenda

After 38 years of birthday Diffie-Hellman Key Exchange (DHKE), there are many proposed improvements in the DHKE protocol to encounter modern security issues. This protocol seems quite simple to be implemented, but it can be vulnerable to…

Cryptography and Security · Computer Science 2014-09-02 Mohd Anuar Mat Isa , Habibah Hashim , Jamalul-lail Ab Manan , Syed Farid Syed Adnan , Ramlan Mahmod

Algebraic effects and handlers are a mechanism to structure programs with computational effects in a modular way. They are recently gaining popularity and being adopted in practical languages, such as OCaml. Meanwhile, there has been…

Programming Languages · Computer Science 2023-11-20 Fuga Kawamata , Hiroshi Unno , Taro Sekiyama , Tachio Terauchi

A new framework for interference alignment in secure and private information retrieval (PIR) from colluding servers is proposed, generalizing the original cross-subspace alignment (CSA) codes proposed by Jia, Sun, and Jafar. The general…

Information Theory · Computer Science 2024-05-29 Okko Makkonen , David Karpuk , Camilla Hollanti

Private information retrieval (PIR) considers the problem of retrieving a data item from a database or distributed storage system without disclosing any information about which data item was retrieved. Secure PIR complements this problem by…

Information Theory · Computer Science 2024-08-02 Okko Makkonen , David Karpuk , Camilla Hollanti

Fully Homomorphic Encryption (FHE) enables computations on encrypted data, preserving confidentiality without the need for decryption. However, FHE is often hindered by significant performance overhead, particularly for high-precision and…

Cryptography and Security · Computer Science 2024-09-06 Chao Wang , Shubing Yang , Xiaoyan Sun , Jun Dai , Dongfang Zhao
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