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In this paper a secret sharing scheme based on the word problem in groups is introduced. The security of the scheme and possible variations are discussed in section 2. The article concludes with the suggestion of two categories of platform…

Cryptography and Security · Computer Science 2010-09-02 Dimitrios Panagopoulos

Braid group is a very important non-commutative group. It is also an important tool of quantum field theory, and has good topological properties. This paper focuses on the provable security research of cryptosystem over braid group, which…

Cryptography and Security · Computer Science 2018-07-10 Xiaoming Chen , Weiqing You

We analyze the security of two-way quantum key distribution using arbitrary finite-dimensional systems, considering both individual and collective eavesdropping attacks, without the effective use of entangled states, by incorporating two…

Quantum Physics · Physics 2026-04-14 Abhishek Muhuri , Ayan Patra , Rivu Gupta , Tamoghna Das , Aditi Sen De

In this paper, a code-based public-key cryptosystem based on interleaved Goppa codes is presented. The scheme is based on encrypting several ciphertexts with the same Goppa code and adding a burst error to them. Possible attacks are…

Information Theory · Computer Science 2018-09-11 Molka Elleuch , Antonia Wachter-Zeh , Alexander Zeh

In a previous paper we generalized the definition of a multilinear map to arbitrary groups and introduced two multiparty key-exchange protocols using nilpotent groups. In this paper we have a closer look at the protocols and will address…

Group Theory · Mathematics 2021-02-09 Delaram Kahrobaei , Antonio Tortora , Maria Tota

Block ciphers are in widespread use since the 1970s. Their iterated structure is prone to numerous round invariant attacks for example in Linear Cryptanalysis (LC). The next step is to look at non-linear polynomial invariants cf.…

Cryptography and Security · Computer Science 2020-02-11 Nicolas T. Courtois

Cryptographic access control has been studied for over 30 years and is now a mature research topic. When symmetric cryptographic primitives are used, each protected resource is encrypted and only authorized users should have access to the…

Cryptography and Security · Computer Science 2015-06-02 Jason Crampton , Naomi Farley , Gregory Gutin , Mark Jones , Bertram Poettering

Device-independent quantum cryptographic schemes aim to guarantee security to users based only on the output statistics of any components used, and without the need to verify their internal functionality. Since this would protect users…

Quantum Physics · Physics 2013-08-07 Jonathan Barrett , Roger Colbeck , Adrian Kent

This article presets a review of the achievements rapidly developing field of cryptography - public-key cryptography based on the lattice theory. Paper contains the necessary basic concepts and the major problems of the lattice theory, as…

Cryptography and Security · Computer Science 2010-09-14 V. S. Usatyuk

We consider two quantum cryptographic schemes relying on encoding the key into qudits, i.e. quantum states in a d-dimensional Hilbert space. The first cryptosystem uses two mutually unbiased bases (thereby extending the BB84 scheme), while…

Quantum Physics · Physics 2009-11-07 Nicolas J. Cerf , Mohamed Bourennane , Anders Karlsson , Nicolas Gisin

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

We demonstrate a prototype-implementation of deterministic information encoding for quantum key distribution (QKD) following the ping-pong coding protocol [K. Bostroem, T. Felbinger, Phys. Rev. Lett. 89 (2002) 187902-1]. Due to the…

Quantum Physics · Physics 2009-11-13 Martin Ostermeyer , Nino Walenta

Public-key cryptography algorithms have evolved towards increasing computational complexity to hide desired messages, which is accelerating with the development of the Internet and quantum computing. This paper introduces a novel public-key…

Cryptography and Security · Computer Science 2025-12-03 Keum-Bae Cho

In this paper we study the MOR cryptosystem using finite classical Chevalley groups over a finite field of odd characteristic. In the process we develop an algorithm for these Chevalley groups in the same spirit as the row-column operation…

Group Theory · Mathematics 2014-08-28 Ayan Mahalanobis , Anupam Singh

We obfuscate words of a given length in a free monoid on two generators with a simple factorization algorithm (namely $SL_2(\mathbb{N})$) to create a public-key encryption scheme. We provide a reference implementation in Python and…

Cryptography and Security · Computer Science 2024-09-13 Robert Hines

In a recent comment \cite{ch1} it has been claimed that an entangled-based quantum key distribution protocol proposed in \cite{zhang} and its generalization to d-level systems in \cite{v1} are insecure against an attack devised by the…

Quantum Physics · Physics 2009-11-11 V. Karimipour

In this paper we present a new class of convolutional codes that admits an efficient al- gebraic decoding algorithm. We study some of its properties and show that it can decode interesting sequences of errors patterns. The second part of…

Information Theory · Computer Science 2018-04-25 P. Almeida , D. Napp

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel

Modifications of Markovski quasigroup based crypto-algorithm have been proposed. Some of these modifications are based on the systems of orthogonal n-ary groupoids. T-quasigroups based stream ciphers have been constructed.

Group Theory · Mathematics 2012-01-17 Victor Shcherbacov

The improvements on quantum technology are threatening our daily cybersecurity, as a capable quantum computer can break all currently employed asymmetric cryptosystems. In preparation for the quantum-era the National Institute of Standards…

Cryptography and Security · Computer Science 2024-07-18 Violetta Weger , Niklas Gassner , Joachim Rosenthal