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This article presets a review of the achievements rapidly developing field of cryptography - public-key cryptography based on the lattice theory. Paper contains the necessary basic concepts and the major problems of the lattice theory, as…

Cryptography and Security · Computer Science 2010-09-14 V. S. Usatyuk

Theoretical computer science has found fertile ground in many areas of mathematics. The approach has been to consider classical problems through the prism of computational complexity, where the number of basic computational steps taken to…

Cryptography and Security · Computer Science 2007-05-23 Shafi Goldwasser

Elliptic curve cryptography has received great attention in recent years due to its high resistance against modern cryptanalysis. The aim of this article is to present efficient generators to generate substitution boxes (S-boxes) and pseudo…

Cryptography and Security · Computer Science 2019-10-15 Ikram Ullah , Naveed Ahmed Azam , Umar Hayat

This paper proposed the application of post-encryption-compression (PEC) to strengthen the secrecy in the case of distributed encryption where the encryption keys are correlated to each other. We derive the universal code construction for…

Information Theory · Computer Science 2018-01-17 Bagus Santoso , Yasutada Oohama

Many graph mining and analysis services have been deployed on the cloud, which can alleviate users from the burden of implementing and maintaining graph algorithms. However, putting graph analytics on the cloud can invade users' privacy. To…

Cryptography and Security · Computer Science 2015-03-19 Pengtao Xie , Eric Xing

Cloud computing is a popular distributed network and utility model based technology. Since in cloud the data is outsourced to third parties, the protection of confidentiality and privacy of user data becomes important. Different methods for…

Cryptography and Security · Computer Science 2015-05-14 B. T. Prasanna , C. B. Akki

Elliptic curves over finite fields GF(2^n) play a prominent role in modern cryptography. Published quantum algorithms dealing with such curves build on a short Weierstrass form in combination with affine or projective coordinates. In this…

Quantum Physics · Physics 2013-12-05 Brittanney Amento , Rainer Steinwandt , Martin Roetteler

Why study Lattice-based Cryptography? There are a few ways to answer this question. 1. It is useful to have cryptosystems that are based on a variety of hard computational problems so the different cryptosystems are not all vulnerable in…

Cryptography and Security · Computer Science 2022-09-29 Yang Li , Kee Siong Ng , Michael Purcell

Quantum cryptographic protocols solve the longstanding problem of distributing a shared secret string to two distant users by typically making use of one-way quantum channel. However, alternative protocols exploiting two-way quantum channel…

Quantum Physics · Physics 2015-05-01 Jesni Shamsul Shaari , Stefano Mancini

Applying encryption technology to image retrieval can ensure the security and privacy of personal images. The related researches in this field have focused on the organic combination of encryption algorithm and artificial feature…

Multimedia · Computer Science 2022-08-26 Zhixun Lu , Qihua Feng , Peiya Li

Edge computing alleviates the computation burden of data-driven control in cyber-physical systems (CPSs) by offloading complex processing to edge servers. However, the increasing sophistication of cyberattacks underscores the need for…

Cryptography and Security · Computer Science 2025-10-31 Haruki Hoshino , Jungjin Park , Osamu Kaneko , Kiminao Kogiso

Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isogeny is believed to be computationally difficult. The fastest…

Quantum Physics · Physics 2018-04-17 Andrew M. Childs , David Jao , Vladimir Soukharev

As quantum computing technology continues to advance, post-quantum cryptographic methods capable of resisting quantum attacks have emerged as a critical area of focus. Given the potential vulnerability of existing homomorphic encryption…

Cryptography and Security · Computer Science 2025-06-25 Abel C. H. Chen

Elliptic Curve Cryptography (ECC) is widely accepted for ensuring secure data exchange between resource-limited IoT devices. The National Institute of Standards and Technology (NIST) recommended implementation, such as B-163, is…

Hardware Architecture · Computer Science 2025-06-17 Ruby Kumari , Tapas Rout , Babul Saini , Jai Gopal Pandey , Abhijit Karmakar

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

With the rapid development of cloud computing, the privacy security incidents occur frequently, especially data security issues. Cloud users would like to upload their sensitive information to cloud service providers in encrypted form…

Cryptography and Security · Computer Science 2018-12-04 Qi Wang , Dehua Zhou , Yanling Li

The task of this paper is to introduce a new lightweight identification protocol based on biometric data and elliptic curves. In fact, we combine biometric data and asymetric cryptography, namely elliptic curves and standard tools to design…

Cryptography and Security · Computer Science 2014-09-02 Abdoulaye Mbaye , Abdoul Aziz Ciss , Oumar Niang

In this article, we propose a method to construct self orthogonal matrix, orthogonal matrix and anti orthogonal matrix over the finite field. Orthogonal matrices has numerous applications in cryptography, so here we demonstrate the…

Number Theory · Mathematics 2020-06-01 Shipra Kumari , Hrishikesh Mahato , Sumant Pushp

The recent spades of cyber security attacks have compromised end users' data safety and privacy in Medical Cyber-Physical Systems (MCPS). Traditional standard encryption algorithms for data protection are designed based on a viewpoint of…

Cryptography and Security · Computer Science 2019-04-18 Han Qiu , Meikang Qiu , Meiqin Liu , Gerard Memmi

Neural cryptography is based on synchronization of tree parity machines by mutual learning. We extend previous key-exchange protocols by replacing random inputs with queries depending on the current state of the neural networks. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Ido Kanter