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We introduce DM-RSA (Dual Modulus RSA), a variant of the RSA cryptosystem that employs two distinct moduli symmetrically to enhance security. By leveraging the Chinese Remainder Theorem (CRT) for decryption, DM-RSA provides increased…

Cryptography and Security · Computer Science 2025-07-22 Andriamifidisoa Ramamonjy , Rufine Marius Lalasoa

We will define a new type of cipher that doesn't use neither an easy to calcualate and hard to invert matematical function like RSA nor a classical mono or polyalphabetic cipher.

Cryptography and Security · Computer Science 2012-02-17 Fabio F. G. Buono

A Sidon space is a subspace of an extension field over a base field in which the product of any two elements can be factored uniquely, up to constants. This paper proposes a new public-key cryptosystem of the multivariate type which is…

Cryptography and Security · Computer Science 2022-05-23 Netanel Raviv , Ben Langton , Itzhak Tamo

We propose a new cryptosystem based on polycyclic groups. The cryptosystem is based on the fact that the word problem can be solved effectively in polycyclic groups, while the known solutions to the conjugacy problem are far less efficient.

Group Theory · Mathematics 2007-05-23 Bettina Eick , Delaram Kahrobaei

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

Risk-based Authentication (RBA) is an adaptive security measure to strengthen password-based authentication. RBA monitors additional features during login, and when observed feature values differ significantly from previously seen ones,…

Cryptography and Security · Computer Science 2020-10-02 Stephan Wiefling , Markus Dürmuth , Luigi Lo Iacono

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 1998 [8], Patarin proposed an efficient cryptosystem called Little Dragon which was a variant a variant of Matsumoto Imai cryptosystem C*. However Patarin latter found that Little Dragon cryptosystem is not secure [8], [3]. In this paper…

Cryptography and Security · Computer Science 2010-07-15 Rajesh P Singh , Anupam Saikia , B. K. Sarma

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

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

Cryptographic systems are derived using units in group rings. Combinations of types of units in group rings give units not of any particular type. This includes cases of taking powers of units and products of such powers and adds the…

Group Theory · Mathematics 2020-04-14 Barry Hurley , Ted Hurley

We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of…

Cryptography and Security · Computer Science 2016-07-12 Frantisek Marko , Alexandr N. Zubkov , Martin Juras

In recent years there has been a great deal of work done on secret sharing scehemes. Secret Sharing Schemes allow for the division of keys so that an authorised set of users may access information. In this paper we wish to present a…

Cryptography and Security · Computer Science 2007-05-23 Liam Wagner

We construct three public key knapsack cryptosystems. Standard knapsack cryptosystems hide easy instances of the knapsack problem and have been broken. The systems considered in the article face this problem: They hide a random (possibly…

Cryptography and Security · Computer Science 2008-03-17 Laurent Evain

We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity finite group based on the difficulty of the membership problem for groups of integer matrices. Besides, a homomorphic cryptosystem is designed for the first…

Cryptography and Security · Computer Science 2007-05-23 Dima Grigoriev , Ilia Ponomarenko

This paper studies a variant of the McEliece cryptosystem able to ensure that the code used as the public key is no longer permutation-equivalent to the secret code. This increases the security level of the public key, thus opening the way…

Information Theory · Computer Science 2014-05-21 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Joachim Rosenthal , Davide Schipani

Recently, Hwang et al. introduced a knapsack type public-key cryptosystem. They proposed a new algorithm called permutation combination algorithm. By exploiting this algorithm, they attempt to increase the density of knapsack to avoid the…

Cryptography and Security · Computer Science 2013-09-17 Roohallah Rastaghi

Modern mobile phones are increasingly being used for more services that require modern security mechanisms such as the public key cryptosystem RSA. It is, however, well known that public key cryptography demands considerable computing…

Cryptography and Security · Computer Science 2010-01-14 Klaus Hansen , Troels Larsen , Kim Olsen

Risk-based authentication (RBA) extends authentication mechanisms to make them more robust against account takeover attacks, such as those using stolen passwords. RBA is recommended by NIST and NCSC to strengthen password-based…

Cryptography and Security · Computer Science 2023-01-05 Stephan Wiefling , Jan Tolsdorf , Luigi Lo Iacono

In this paper, we present a complete digital signature message stream, just the way the RSA digital signature scheme does it. We will focus on the operations with large numbers due to the fact that operating with large numbers is the…

Cryptography and Security · Computer Science 2013-04-12 Dragan Vidakovic , Dusko Parezanovic , Olivera Nikolic , Jelena Kaljevic

We propose variations of the class of hidden monomial cryptosystems in order to make it resistant to all known attacks. We use identities built upon a single bivariate polynomial equation with coefficients in a finite field. Indeed, it can…

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