Modern Cryptography Volume 2

Modern Cryptography Volume 2 PDF Author: Zhiyong Zheng
Publisher: Springer Nature
ISBN: 9811976449
Category : Business & Economics
Languages : en
Pages : 202

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Book Description
This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research.

Modern Cryptography Volume 2

Modern Cryptography Volume 2 PDF Author: Zhiyong Zheng
Publisher: Springer Nature
ISBN: 9811976449
Category : Business & Economics
Languages : en
Pages : 202

Get Book Here

Book Description
This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research.

Foundations of Cryptography: Volume 2, Basic Applications

Foundations of Cryptography: Volume 2, Basic Applications PDF Author: Oded Goldreich
Publisher: Cambridge University Press
ISBN: 1107393973
Category : Computers
Languages : en
Pages : 390

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Book Description
Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. The design of cryptographic systems must be based on firm foundations. Foundations of Cryptography presents a rigorous and systematic treatment of foundational issues, defining cryptographic tasks and solving cryptographic problems. The emphasis is on the clarification of fundamental concepts and on demonstrating the feasibility of solving several central cryptographic problems, as opposed to describing ad-hoc approaches. This second volume contains a thorough treatment of three basic applications: Encryption, Signatures, and General Cryptographic Protocols. It builds on the previous volume, which provided a treatment of one-way functions, pseudorandomness, and zero-knowledge proofs. It is suitable for use in a graduate course on cryptography and as a reference book for experts. The author assumes basic familiarity with the design and analysis of algorithms; some knowledge of complexity theory and probability is also useful.

Foundations of Cryptography: Volume 2, Basic Applications

Foundations of Cryptography: Volume 2, Basic Applications PDF Author: Oded Goldreich
Publisher: Cambridge University Press
ISBN: 0521830842
Category : Computers
Languages : en
Pages : 452

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Book Description
A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Modern Cryptography, Probabilistic Proofs and Pseudorandomness PDF Author: Oded Goldreich
Publisher: Springer Science & Business Media
ISBN: 3662125218
Category : Mathematics
Languages : en
Pages : 192

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Book Description
Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.

Introduction to Modern Cryptography

Introduction to Modern Cryptography PDF Author: Jonathan Katz
Publisher: CRC Press
ISBN: 1351133012
Category : Computers
Languages : en
Pages : 435

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Book Description
Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.

Foundations of Cryptography: Volume 1, Basic Tools

Foundations of Cryptography: Volume 1, Basic Tools PDF Author: Oded Goldreich
Publisher: Cambridge University Press
ISBN: 9780521035361
Category : Computers
Languages : en
Pages : 396

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Book Description
Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. Rather than describing ad-hoc approaches, this book emphasizes the clarification of fundamental concepts and the demonstration of the feasibility of solving cryptographic problems. It is suitable for use in a graduate course on cryptography and as a reference book for experts.

Modern Cryptography and Elliptic Curves

Modern Cryptography and Elliptic Curves PDF Author: Thomas R. Shemanske
Publisher: American Mathematical Soc.
ISBN: 1470435829
Category : Computers
Languages : en
Pages : 266

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Book Description
This book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography. This gradual introduction also makes a significant effort to teach students how to produce or discover a proof by presenting mathematics as an exploration, and at the same time, it provides the necessary mathematical underpinnings to investigate the practical and implementation side of elliptic curve cryptography (ECC). Elements of abstract algebra, number theory, and affine and projective geometry are introduced and developed, and their interplay is exploited. Algebra and geometry combine to characterize congruent numbers via rational points on the unit circle, and group law for the set of points on an elliptic curve arises from geometric intuition provided by Bézout's theorem as well as the construction of projective space. The structure of the unit group of the integers modulo a prime explains RSA encryption, Pollard's method of factorization, Diffie–Hellman key exchange, and ElGamal encryption, while the group of points of an elliptic curve over a finite field motivates Lenstra's elliptic curve factorization method and ECC. The only real prerequisite for this book is a course on one-variable calculus; other necessary mathematical topics are introduced on-the-fly. Numerous exercises further guide the exploration.

Understanding Cryptography

Understanding Cryptography PDF Author: Christof Paar
Publisher: Springer Science & Business Media
ISBN: 3642041019
Category : Computers
Languages : en
Pages : 382

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Book Description
Cryptography is now ubiquitous – moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a comprehensive understanding of applied cryptography. After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations. The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book’s website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.

Modern Cryptology

Modern Cryptology PDF Author: Gilles Brassard
Publisher: Lecture Notes in Computer Science
ISBN:
Category : Computers
Languages : en
Pages : 128

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Book Description
Cryptology is the art and science of secure communication over insecure channels. The primary aim of this book is to provide a self-contained overview of recent cryptologic achievements and techniques in a form that can be understood by readers having no previous acquaintance with cryptology. It can thus be used as independent reading by whoever wishes to get started on the subject. An extensive bibliography of 250 references is included to help the reader deepen his or her understanding and go beyond the topics treated here. This book can also be used as preliminary material for an introductory course on cryptology. Despite its simplicity, it covers enough state-of-the-art material to be nevertheless of interest to the specialist. After a survey of the main secret and public key techniques, various applications are discussed. The last chapter describes 'quantum cryptography', a revolutionary approach to cryptography that remains secure even against an opponent with unlimited computing power. Quantum crytography is based on the principles of quantum physics.

Modern Cryptography for Cybersecurity Professionals

Modern Cryptography for Cybersecurity Professionals PDF Author: Lisa Bock
Publisher: Packt Publishing Ltd
ISBN: 1838647791
Category : Computers
Languages : en
Pages : 286

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Book Description
As a cybersecurity professional, discover how to implement cryptographic techniques to help your organization mitigate the risks of altered, disclosed, or stolen data Key FeaturesDiscover how cryptography is used to secure data in motion as well as at restCompare symmetric with asymmetric encryption and learn how a hash is usedGet to grips with different types of cryptographic solutions along with common applicationsBook Description In today's world, it is important to have confidence in your data storage and transmission strategy. Cryptography can provide you with this confidentiality, integrity, authentication, and non-repudiation. But are you aware of just what exactly is involved in using cryptographic techniques? Modern Cryptography for Cybersecurity Professionals helps you to gain a better understanding of the cryptographic elements necessary to secure your data. The book begins by helping you to understand why we need to secure data and how encryption can provide protection, whether it be in motion or at rest. You'll then delve into symmetric and asymmetric encryption and discover how a hash is used. As you advance, you'll see how the public key infrastructure (PKI) and certificates build trust between parties, so that we can confidently encrypt and exchange data. Finally, you'll explore the practical applications of cryptographic techniques, including passwords, email, and blockchain technology, along with securely transmitting data using a virtual private network (VPN). By the end of this cryptography book, you'll have gained a solid understanding of cryptographic techniques and terms, learned how symmetric and asymmetric encryption and hashed are used, and recognized the importance of key management and the PKI. What you will learnUnderstand how network attacks can compromise dataReview practical uses of cryptography over timeCompare how symmetric and asymmetric encryption workExplore how a hash can ensure data integrity and authenticationUnderstand the laws that govern the need to secure dataDiscover the practical applications of cryptographic techniquesFind out how the PKI enables trustGet to grips with how data can be secured using a VPNWho this book is for This book is for IT managers, security professionals, students, teachers, and anyone looking to learn more about cryptography and understand why it is important in an organization as part of an overall security framework. A basic understanding of encryption and general networking terms and concepts is needed to get the most out of this book.