الصفحة 1
الصفحة 1
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Numeri e Crittografia

Number Theory is one of the most classic fields of Mathematics. The numbers he deals with are those that are called natural 0, 1, 2, ... and that we use since childhood to count. Seemingly simple and harmless, they nevertheless hide some of the most difficult and exciting mysteries of the whole of mathematics. Cryptography, on the other hand, is concerned with hiding the content of confidential communications from prying eyes and corresponds to widespread needs in our society. The Theory of Numbers can help Cryptography in these needs, thanks to the mysteries that still surround it. The text gives an account of this link. It first introduces Modern Cryptography, its goals and priorities. He then goes on to expose arguments of Number Theory, with particular reference to the two problems of recognizing prime numbers, and of decomposing a natural into its prime factors; for each of the two issues it provides a vast panorama of the algorithms that deal with it and try to solve it as effectively as possible. In particular, it presents the very recent AKS procedure for recognizing prime numbers. The book then returns to Cryptography and shows how ideas and methods of Number Theory apply to the construction of reliable procedures for the secure transmission of confidential information.

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Number theory in science and communication : With applications in cryptography, physics, digital information, computing, and self-similarity

"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.

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Number Theory : An Introduction via the Distribution of Primes

This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes.

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Number Story : From Counting to Cryptography

Numbers have fascinated people for centuries. They are familiar to everyone, forming a central pillar of our understanding of the world, yet the number system was not presented to us "gift-wrapped" but, rather, was developed over millennia. Today, despite all this development, it remains true that a child may ask a question about numbers that no one can answer. Many unsolved problems surrounding number matters appear as quirky oddities of little account while others are holding up fundamental progress in mainstream mathematics.

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Nine algorithms that changed the future : The ingenious ideas that drive today’s computers

Every day, we use our computers to perform remarkable feats. A simple web search picks out a handful of relevant needles from the world’s biggest haystack. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers, and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease?

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New trends in computational vision and bio-inspired computing : Selected works presented at the ICCVBIC 2018, Coimbatore, India

Gathers selected, peer-reviewed original contributions presented at the International Conference on Computational Vision and Bio-inspired Computing (ICCVBIC) conference which was held in Coimbatore, India, on November 29-30, 2018. The works included here offer a rich and diverse sampling of recent developments in the fields of Computational Vision, Fuzzy, Image Processing and Bio-inspired Computing. The topics covered include computer vision; cryptography and digital privacy; machine learning and artificial neural networks; genetic algorithms and computational intelligence; the Internet of Things; and biometric systems, to name but a few. The applications discussed range from security, healthcare and epidemic control to urban computing, agriculture and robotics.

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New Stream Cipher Designs : The eSTREAM Finalists

The goal of eSTREAM was to promote the design of new stream ciphers with a particular emphasis on algorithms that would be either very fast in software or very resource-efficient in hardware. Algorithm designers were invited to submit new stream cipher proposals to eSTREAM, and 34 candidates were proposed from around the world. Over the following years the submissions were assessed with regard to both security and practicality by the cryptographic community, and the results were presented at major conferences and specialized workshops dedicated to the state of the art of stream ciphers.

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New Developments in Formal Languages and Applications

The theory of formal languages is widely recognized as the backbone of theoretical computer science, originating from mathematics and generative linguistics, among others. As a foundational discipline, formal language theory concepts and techniques are present in a variety of theoretical and applied fields of contemporary research which are concerned with symbol manipulation: discrete mathematics, bioinformatics, natural language processing, pattern recognition, text retrieval, learning, cryptography, compression, etc.

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Networked RFID Systems and Lightweight Cryptography : Raising Barriers to Product Counterfeiting

This book considers the methods used by illicit manufactures and traders to introduce counterfeit goods into the supply chain, the extent of their success, the various barriers that may be brought against their actions, and the effectiveness of those barriers. The new field of lightweight cryptography is described in the context of using RFID systems in the fight against counterfeit products, its cost effectiveness is examined and feasible approaches to its deployment are described. Research problems and likely avenues for solutions are also presented to guide a global effort in anti-counterfeiting.

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Network and Parallel Computing ; IFIP International Conference, NPC 2008, Shanghai, China, October 18-20, 2008. Proceedings

This book constitutes the refereed proceedings of the IFIP International Conference on Network and Parallel Computing, NPC 2008, held in Shanghai, China in October 2008.The 32 revised full papers presented were carefully selected from over 140 submissions. The papers are organized in topical sections on network technologies; network applications; network and parallel architectures; parallel and distributed software.

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Multivariate Public Key Cryptosystems

Multivariate public key cryptosystems (MPKC) is a fast-developing new area in cryptography. In the past 10 years, MPKC schemes have increasingly been seen as a possible alternative to number theoretic-based cryptosystems such as RSA, as they are generally more efficient in terms of computational effort. As quantum computers are developed, MPKC will become a necessary alternative. Multivariate Public Key Cryptosystems systematically presents the subject matter for a broad audience. Information security experts in industry can use the book as a guide for understanding what is needed to implement these cryptosystems for practical applications, and researchers in both computer science and mathematics will find this book a good starting point for exploring this new field. It is also suitable as a textbook for advanced-level students.

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Multimedia security : Algorithm development, analysis and applications (algorithms for intelligent systems)

Provides an insight about various techniques used in multimedia security and identifies its progress in both technological and algorithmic perspectives. In the contemporary world, digitization offers an effective mechanism to process, preserve and transfer all types of information. The incredible progresses in computing and communication technologies augmented by economic feasibility have revolutionized the world. The availability of efficient algorithms together with inexpensive digital recording and storage peripherals have created a multimedia era bringing conveniences to people in sharing the digital data that includes images, audio and video. The ever-increasing pace, at which the multimedia and communication technology is growing, has also made it possible to combine, replicate and distribute the content faster and easier, thereby empowering mankind by having a wealth of information at their disposal.

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Multimedia Encryption and Watermarking

Multimedia Encryption and Watermarking presents a comprehensive survey of contemporary multimedia encryption and watermarking techniques, which enable a secure exchange of multimedia intellectual property. Part I, Digital Rights Management (DRM) for Multimedia, introduces DRM concepts and models for multimedia content protection, and presents the key players. Part II, Multimedia Cryptography, provides an overview of modern cryptography, with the focus on modern image, video, speech, and audio encryption techniques. This book also provides an advanced concept of visual and audio sharing techniques. Part III, Digital Watermarking, introduces the concept of watermarking for multimedia, classifies watermarking applications, and evaluates various multimedia watermarking concepts and techniques, including digital watermarking techniques for binary images. Multimedia Encryption and Watermarking is designed for researchers and practitioners, as well as scientists and engineers who design and develop systems for the protection of digital multimedia content. This volume is also suitable as a textbook for graduate courses on multimedia security.

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Modern cryptography ; Vol.1 : A classical introduction to informational and mathematical principle

This book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms. The theory stems from technology. Based on Shannon's information theory, this book systematically introduces the information theory, statistical characteristics and computational complexity theory of public key cryptography, focusing on the three main algorithms of public key cryptography, RSA, discrete logarithm and elliptic curve cryptosystem.

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Mobile Wireless Middleware, Operating Systems and Applications ; 9th EAI International Conference, MOBILWARE 2020, Hohhot, China, July 11, 2020, Proceedings

This book constitutes the refereed conference proceedings of the 9th International Conference on Mobile Wireless Middleware, Operating Systems and Applications, MOBILWARE 2020, held in Hohhot, China, in July 2020. Due to COVID-19 pandemic the conference was held virtually. The 21 revised full papers were reviewed and selected from 69 submissions and are organized in tracks on MobilWare; Big data, data mining and artificial intelligence workshop; Blockchain and internet of things workshop.

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Messages security application

The rapid development of communication technology, is bringing many technological conveniences with it and simplifying our lives. On the other hand, it has disadvantages such as hiding the information that is continuously roaming through various communication media resources between senders and receivers and avoid sharing them with third parties. Eliminating these disadvantages via specific security methods and algorithms is related to the discipline called cryptography, which includes information security. Encryption is the process of turning a plaintext to jargon or the method of changing a confidential file to jargon in order to prevent unauthorized persons from gaining access to confidential message. A Message is the transfer of information from the sender to the receiver through a particular medium. Encryption is the most effective process for achieving data security.

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Mathematics and Technology

Mathematics and Technology presents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartography, image compression using fractals and the JPEG format, digital recording, robot movement, DNA computing, Google's PageRank algorithm, savings and loans, gamma ray surgery and random number generators. The authors highlight how mathematical modeling, together with the power of mathematical tools, have been crucial for innovation in technology. The exposition is clear, straightforward, motivated by excellent examples, and user-friendly. Numerous exercises at the end of every chapter reinforce the material. An engaging quality is the various historical notes accompanying the mathematical development.

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Intrusion Detection and Correlation : Challenges and Solutions

Challenges and Solutions presents intrusion detection systems (IDSs) and addresses the problem of managing and correlating the alerts produced. This volume discusses the role of intrusion detection in the realm of network security with comparisons to traditional methods such as firewalls and cryptography. Challenges and Solutions analyzes the challenges in interpreting and combining (i.e., correlating) alerts produced by these systems. In addition, existing academic and commercial systems are classified; their advantage and shortcomings are presented, especially in the case of deployment in large, real-world sites. Challenges and Solutions is designed for a professional audience composed of researchers and practitioners in industry. This book is also suitable for graduate-level students in computer science.

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Introduction to Cryptography : Principles and Applications

In the first part, this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. In the second part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators.

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International Symposium on Mathematics, Quantum Theory, and Cryptography ; Proceedings of MQC 2019

This book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan.

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