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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

A cryptographic algorithm is proposed based on fully quantum mechanical keys and ciphers. Encryption and decryption are carried out via an appropriate measurement process on entangled states as governed by a quantum mechanical, asymmetrical…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Carlos Saavedra , Christoph H. Keitel

We give an analogue of the ElGamal encryption system based on the Markovski algorithm [4; 5].

Group Theory · Mathematics 2021-11-17 Nadeghda Malyutina , Victor Shcherbacov

Several cryptographic protocols constructed based on less-known algorithmic problems, such as those in non-commutative groups, group rings, semigroups, etc., which claim quantum security, have been broken through classical reduction methods…

Cryptography and Security · Computer Science 2022-07-28 Simran Tinani

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

We propose modification of Markovsky crypto-algorithm [2, 3, 4] on n-ary groupoids [1] that are invertible on at least one place.

Group Theory · Mathematics 2018-06-07 Nadeghda N. Malyutina , Alexandra V. Scerbacova , Victor A. Shcherbacov

This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

In this work is proposed a method using orthogonal matrix transform properties to encrypt and decrypt a message. It will be showed how to use matrix functions to create complex encryptions. Because orthogonal matrix are always…

Cryptography and Security · Computer Science 2014-01-28 Yeray Cachon Santana

A During last two decades, there has been a prolific growth in the chaos based image encryption algorithms. Up to an extent these algorithms have been able to provide an alternative to exchange large media files (images and videos) over the…

Cryptography and Security · Computer Science 2020-03-18 Vinod Patidar , N. K. Pareek , G. Purohit

We propose modifications of known quasigroup based stream ciphers. Systems of orthogonal n-ary groupoids are used.

Group Theory · Mathematics 2011-11-01 Piroska Csorgo , Victor Shcherbacov

We have designed a new class of public key algorithms based on quasigroup string transformations using a specific class of quasigroups called multivariate quadratic quasigroups (MQQ). Our public key algorithm is a bijective mapping, it does…

Cryptography and Security · Computer Science 2008-08-05 Danilo Gligoroski , Smile Markovski , Svein Johan Knapskog

Quantum communication is an important application that derives from the burgeoning field of quantum information and quantum computation. Focusing on secure communication, quantum cryptography has two major directions of development, namely…

Quantum Physics · Physics 2021-08-31 Junxu Li , Zixuan Hu , Sabre Kais

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

This paper presents a quasigroup encryptor that has very good scrambling properties. We show that the output of the encryptor maximizes the output entropy and the encrypted output for constant and random inputs is very similar. The system…

Cryptography and Security · Computer Science 2007-05-23 Maruti Satti

In this paper, we propose a quasigroup based block cipher design. The round functions of the encryption and decryption algorithms use quasigroup based string transformations. We show the robustness of the design against the standard…

Cryptography and Security · Computer Science 2021-12-15 Sharwan K. Tiwari , Ambrish Awasthi , Sucheta Chkrabarti , Sudha Yadav

Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significiant problem in recent years. In this paper we introduce two new coding/decoding algorithms using…

Cryptography and Security · Computer Science 2021-01-12 Sümeyra UçAr , Nihal Taş , Nihal Yilmaz Özgür

The orthogonalization process is an essential building block in Krylov space methods, which takes up a large portion of the computational time. Commonly used methods, like the Gram-Schmidt method, consider the projection and normalization…

Numerical Analysis · Mathematics 2022-04-29 Nils-Arne Dreier , Christian Engwer

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

Group Theory · Mathematics 2017-09-20 V. A. Roman'kov

We address a cryptanalysis of two protocols based on the supposed difficulty of discrete logarithm problem on (semi) groups of matrices over a group ring. We can find the secret key and break entirely the protocols.

Cryptography and Security · Computer Science 2015-03-17 Mohammad Eftekhari

Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptography. Moreover, they satisfy a semi-group property, which…

Cryptography and Security · Computer Science 2007-05-23 Pina Bergamo , Paolo D'Arco , Alfredo De Santis , Ljupco Kocarev
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