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Here is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of…

Cryptography and Security · Computer Science 2024-07-23 Nadezhda Malyutina , Alexander Popov , Victor Shcherbacov

In this paper, a new variant of ElGamal signature scheme is presented and its security analyzed. We also give, for its theoretical interest, a general form of the signature equation.

Cryptography and Security · Computer Science 2013-01-16 Omar Khadir

This article presents a new signcryption scheme which is based on the Schnorr digital signature algorithm. The new scheme represents my personal contribution to signcryption area. I have been implemented the algorithm in a program and here…

Cryptography and Security · Computer Science 2012-02-09 Laura Savu

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

Commutative encryption is a useful but rather strict notion in cryptography. In this paper, we deny a loose variation of commutative encryption-commutative-like encryption and give an example: the generalization of ElGamal scheme. The…

Cryptography and Security · Computer Science 2010-11-17 Wei Dai

In this paper, we propose two cryptosystems based on group rings and existing cryptosystem. First one is Elliptic ElGamal type group ring public key cryptosystem whose security is greater than security of cryptosystems based on elliptic…

Group Theory · Mathematics 2022-05-12 Gaurav Mittal , Sunil Kumar , Shiv Narain , Sandeep Kumar

A new scheme of probabilistic subgroup-related encryption is introduced. Some applications of this scheme based on the RSA, Diffie-Hellman and ElGamal encryption algorithms are described. Security assumptions and main advantages of this…

Cryptography and Security · Computer Science 2016-03-08 Vitalii Roman'kov

The need of exchanging messages and images secretly over unsecure networks promoted the creation of cryptosystems to enable receivers to interpret the exchanged information. In this paper, a particular public key cryptosystem called the…

Cryptography and Security · Computer Science 2014-12-31 Hayder Raheem Hashim , Irtifaa Abdalkadum Neamaa

A generalization of the Marshal-Olkin parametrization scheme is developed and stochastic models related to it are discussed here.

Statistics Theory · Mathematics 2013-12-17 Satheesh S , Sandhya E , Prasanth C B

In this paper we study the MOR cryptosystem. We use the group of unitriangular matrices over a finite field as the non-abelian group in the MOR cryptosystem. We show that a cryptosystem similar to the El-Gamal cryptosystem over finite…

Cryptography and Security · Computer Science 2007-05-23 Ayan Mahalanobis

In this thesis, we propose some directed signature schemes. In addition, we have discussed their applications in different situations. In this thesis, we would like to discuss the security aspects during the design process of the proposed…

Cryptography and Security · Computer Science 2007-05-23 Manoj Kumar

This article will describe an optical encryption technical of images which it is proposed in an analogical and digital way. The development of the technical to a digital level, it is made to implementing algorithms (routines) in MATLAB. We…

Computational Physics · Physics 2017-09-19 Leidy Marcela Giraldo , Edward Yesid Villegas

We discuss a matrix public key cryptosystem and its numerical implementation.

Cryptography and Security · Computer Science 2015-06-02 M. Andrecut

In this paper, we extend the ElGamal cryptosystem to the third group of units of the ring $\Z_{n}$, which we prove to be more secure than the previous extensions. We describe the arithmetic needed in the new setting. We also provide some…

Cryptography and Security · Computer Science 2025-04-22 Jana Hamza , Mohammad EL Hindi , Seifeddine Kadri , Therrar Kadri , Yahya Awad

We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

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

In this paper we study extensively the discrete logarithm problem in the group of non-singular circulant matrices. The emphasis of this study was to find the exact parameters for the group of circulant matrices for a secure implementation.…

Cryptography and Security · Computer Science 2012-07-06 Ayan Mahalanobis

We report a detailed analysis of the optical realization [1, 3, 2, 4] of the analogue algorithm described in the first paper of this series [5] for the simultaneous factorization of an exponential number of integers. Such an analogue…

Quantum Physics · Physics 2016-03-14 Vincenzo Tamma

As society becomes more reliant on computers, cryptographic security becomes increasingly important. Current encryption schemes include the ElGamal signature scheme, which depends on the complexity of the discrete logarithm problem. It is…

Number Theory · Mathematics 2016-09-05 Abigail Mann

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
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