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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

In this paper, we analyze a knapsack schemes. The one is suggested by Su, which is relied on a new method entitled permutation combination method. We demonstrate that this permutation method is useless to the security of the scheme. Since…

Cryptography and Security · Computer Science 2010-05-24 Sattar J. Aboud

Currently deployed public-key cryptosystems will be vulnerable to attacks by full-scale quantum computers. Consequently, "quantum resistant" cryptosystems are in high demand, and lattice-based cryptosystems, based on a hard problem known as…

Cryptography and Security · Computer Science 2023-04-25 Emily Wenger , Mingjie Chen , François Charton , Kristin Lauter

This letter presents a cryptanalysis of the modified McEliece cryptosystem recently proposed by Moufek, Guenda and Gulliver [24]. The system is based on the juxtaposition of quasi-cyclic LDPC and quasi-cyclic MDPC codes. The idea of our…

Cryptography and Security · Computer Science 2017-12-07 Vlad Dragoi , Hervé Talé Kalachi

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

Subset-sum problems belong to the NP class and play an important role in both complexity theory and knapsack-based cryptosystems, which have been proved in the literature to become hardest when the so-called density approaches one. Lattice…

Systems and Control · Electrical Eng. & Systems 2022-02-21 Bojun Lu , Duan Li , Rujun Jiang

Most modern cryptographic systems, such as RSA and the Diffie-Hellman Key Exchange, rely on "trapdoor" mathematical functions that are presumed to be computationally difficult with existing tools. However, quantum computers will be able to…

Cryptography and Security · Computer Science 2025-05-15 Alexander Meyer

We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type structure, where the target vectors are boundably short. For…

Symbolic Computation · Computer Science 2010-02-04 Mark Van Hoeij , Andrew Novocin

By combining the one-way coupled chaotic map lattice system with a bit-reverse operation, we construct a new cryptosystem which is extremely sensitive to the system parameters even for low-dimensional systems. The security of this new…

Chaotic Dynamics · Physics 2007-05-23 Xingang Wang , Meng Zhan , Xiaofeng Gong , Choy-Heng Lai

LWE-based cryptosystems are an attractive alternative to traditional ones in the post-quantum era. To minimize the storage cost of part of its public key - a $256 \times 640$ integer matrix, $\textbf{T}$ - a binary version of $\textbf{T}$…

Cryptography and Security · Computer Science 2019-04-10 Tikaram Sanyashi , M. Bhargav Sri Venkatesh , Kapil Agarwal , Manish Verma , Bernard Menezes

NTRU public key cryptosystem is well studied lattice-based Cryptosystem along with Ajtai-Dwork and GGH systems. Underlying NTRU is a hard mathematical problem of finding short vectors in a certain lattice. (Shamir 1997) presented a…

Cryptography and Security · Computer Science 2009-02-12 Nitin Vats

This paper gives the definitions of an anomalous super-increasing sequence and an anomalous subset sum separately, proves the two properties of an anomalous super-increasing sequence, and proposes the REESSE2+ public-key encryption scheme…

Cryptography and Security · Computer Science 2014-11-04 Shenghui Su , Shuwang Lv

Goldreich-Goldwasser-Halevi (GGH) public key cryptosystem is an instance of lattice-based cryptosystems whose security is based on the hardness of lattice problems. In fact, GGH cryptosystem is the lattice version of the first code-based…

Cryptography and Security · Computer Science 2015-06-16 Reza Hooshmand

Akleylek et al. [S. Akleylek, L. Emmungil and U. Nuriyev, A mod ified algorithm for peer-to-peer security, journal of Appl. Comput. Math., vol. 6(2), pp.258-264, 2007.], introduced a modified public-key encryption scheme with steganographic…

Cryptography and Security · Computer Science 2013-04-26 Roohallah Rastaghi

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

Physical attacks are serious threats to cryptosystems deployed in the real world. In this work, we propose a microarchitectural end-to-end attack methodology on generic lattice-based post-quantum key encapsulation mechanisms to recover the…

Cryptography and Security · Computer Science 2023-11-15 Puja Mondal , Suparna Kundu , Sarani Bhattacharya , Angshuman Karmakar , Ingrid Verbauwhede

In the present paper we introduce a new attack on NTRU-HPS cryptosystem using lattice theory and Babai's Nearest Plane Algorithm. This attack has many similarities with the classic CVP attack on NTRU, but in our case we use a different…

Cryptography and Security · Computer Science 2022-11-17 Marios Adamoudis , K. A. Draziotis

A new nonlinear Rao-Nam like symmetric key encryption scheme is presented in this paper. QC-LDPC lattices that are practically implementable in high dimensions due to their low complexity encoding and decoding algorithms, are used in our…

Information Theory · Computer Science 2019-06-17 Khadijeh Bagheri , Taraneh Eghlidos , Mohammad-Reza Sadeghi , Daniel Panario

This paper gives the definition and property of a bit-pair shadow, and devises the three algorithms of a public key cryptoscheme called JUOAN that is based on a multivariate permutation problem and an anomalous subset product problem to…

Cryptography and Security · Computer Science 2017-05-02 Shenghui Su , Shuwang Lu , Maozhi Xu , Tao Xie

Analyzing the security of cryptosystems under attacks based on the malicious modification of memory registers is a research topic of high importance. This type of attacks may affect the randomness of the secret parameters by forcing a…

Cryptography and Security · Computer Science 2017-12-29 Domingo Gomez-Perez , Guénaël Renault
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