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Recently, a novel public key edcryption technique based on multiple chaotic systems has been proposed. The scheme employs m-chaotic systmes and a set of linear functions for key exchange over an insecure channel. The security of the…

Chaotic Dynamics · Physics 2009-11-11 K. wang , W. J. Pei , Z. L. Hua , Z. Y. He

We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of…

Cryptography and Security · Computer Science 2025-10-07 Rohit Chatterjee , Changrui Mu , Prashant Nalini Vasudevan

In the classical setting, public-key encryption requires randomness in order to be secure against a forward search attack, whereby an adversary compares the encryption of a guess of the secret message with that of the actual secret message.…

Quantum Physics · Physics 2009-05-05 Georgios M. Nikolopoulos , Lawrence M. Ioannou

In this paper, security analysis of block ciphers with key length greater than block length is proposed. When key length is significantly greater than block length and the statistical distribution of cipher system is like a uniform…

Cryptography and Security · Computer Science 2013-05-21 Maghsood Parviz , Seyed Hassan Mousavi , Saeed Mirahmadi

The LG cryptosystem is a public-key encryption scheme in the rank metric using the recent family of $\lambdav-$Gabidulin codes and introduced in 2019 by Lau and Tan. In this paper, we present a cryptanalysis showing that the security of…

Cryptography and Security · Computer Science 2024-11-15 Étienne Burle , Hervé Talé Kalachi , Freddy Lende Metouke , Ayoub Otmani

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

Group ring NTRU (GR-NTRU) provides a general structure to design different variants of NTRU-like schemes by employing different groups. Although, most of the schemes in literature are built over cyclic groups, nonabelian groups can also be…

Cryptography and Security · Computer Science 2023-09-18 Vikas Kumar , Ali Raya , Sugata Gangopadhyay , Aditi Kar Gangopadhyay

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

Cayley hash functions are cryptographic hashes constructed from Cayley graphs of groups. The hash function proposed by Shpilrain and Sosnovski (2016), based on linear functions over a finite field, was proven insecure. This paper shows that…

Cryptography and Security · Computer Science 2023-09-06 Bianca Sosnovski

We present an approach to generalization of practical Identity-Based Encryption scheme of Boneh and Franklin. In particular we show how the protocol could be used on finite modular lattices and as a special case on vector spaces over finite…

Cryptography and Security · Computer Science 2012-03-27 Frantisek Polach

The paper analyzes a new public key cryptosystem whose security is based on a matrix version of the discrete logarithm problem over an elliptic curve. It is shown that the complexity of solving the underlying problem for the proposed system…

Cryptography and Security · Computer Science 2007-05-23 J. J. Climent , E. Gorla , J. Rosenthal

We describe an efficient quantum algorithm for computing discrete logarithms in semigroups using Shor's algorithms for period finding and discrete log as subroutines. Thus proposed cryptosystems based on the presumed hardness of discrete…

Quantum Physics · Physics 2015-01-23 Andrew M. Childs , Gábor Ivanyos

This paper provides a simple variation of the basic ideas of the BB84 quantum cryptographic scheme leading to a method of key expansion. A secure random sequence (the bases sequence) determines the encoding bases in a proposed scheme. Using…

Quantum Physics · Physics 2009-10-30 Won Young Hwang , In Gyu Koh , Yeong Deok Han

In this paper we consider cryptographic applications of the arithmetic on the hyperoctahedral group. On an appropriate subgroup of the latter, we particularly propose to construct public key cryptosystems based on the discrete logarithm.…

Cryptography and Security · Computer Science 2017-06-16 Iharantsoa Vero Raharinirina

To remove key escrow problem and avoid the need of secure channel in ID based cryptosystem Lee et al. proposed a secure key issuing protocol. However we show that it suffers from impersonation, insider attacks and incompetency of the key…

Cryptography and Security · Computer Science 2007-05-23 Raju Gangishetti , M. Choudary Gorantla , Manik Lal Das , Ashutosh Saxena

We propose a security verification framework for cryptographic protocols using machine learning. In recent years, as cryptographic protocols have become more complex, research on automatic verification techniques has been focused on. The…

Cryptography and Security · Computer Science 2023-04-27 Kentaro Ohno , Misato Nakabayashi

In discrete logarithm based cryptography, a method by Pohlig and Hellman allows solving the discrete logarithm problem efficiently if the group order is known and has no large prime factors. The consequence is that such groups are avoided.…

Cryptography and Security · Computer Science 2012-04-02 Felix Fontein

In this work, we perform safety analysis of linear dynamical systems with uncertainties. Instead of computing a conservative overapproximation of the reachable set, our approach involves computing a statistical approximate reachable set. As…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent…

Cryptography and Security · Computer Science 2025-07-14 Gennady Khalimov , Yevgen Kotukh

The discrete logarithm problem is one of the backbones in public key cryptography. In this paper we study the discrete logarithm problem in the group of circulant matrices over a finite field. This gives rise to secure and fast public key…

Cryptography and Security · Computer Science 2009-09-21 Ayan Mahalanobis