Screen LibraryComputational number theory and modern cryptography /
"The only book to provide a unified view of the interplay between computationalnumber theory and cryptographyComputational number theory and modern cryptography are two of the most important and fundamental research fields in information security. There are many textbooks on computational numbe...
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| Main Authors: | |
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| Published: |
John Wiley & Sons, Inc.,
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| Publisher Address: | Hoboken : |
| Publication Dates: | 2012. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9781118188606 |
| Summary: |
"The only book to provide a unified view of the interplay between computationalnumber theory and cryptographyComputational number theory and modern cryptography are two of the most important and fundamental research fields in information security. There are many textbooks on computational number theory or cryptography. However, textbooks integrating both topics are rare. This book not only introduces the basic concepts and results in the two fields, but also introduces many advanced topics. Mathematical ideas are presented first, thereupon treating cryptography as an immediate application of "This book not only introduces the basic concepts and results in the two fields, but also introduces many advanced topics"-- |
| Carrier Form: | 1 online resource. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9781118188613 (ePub) 1118188616 (ePub) 9781118188590 (Adobe PDF) 1118188594 (Adobe PDF) 9781118188620 ( MobiPocket) 1118188624 ( MobiPocket) 9781118188606 1118188608 |
| Index Number: | QA76 |
| CLC: | TP311.13 |
| Contents: |
COMPUTATIONAL NUMBER THEORY AND MODERN CRYPTOGRAPHY; CONTENTS; ABOUT THE AUTHOR; PREFACE; ACKNOWLEDGMENTS; Part I Preliminaries; 1 Introduction; 1.1 What is Number Theory?; 1.2 What is Computation Theory?; 1.3 What is Computational Number Theory?; 1.4 What is Modern Cryptography?; 1.5 Bibliographic Notes and Further Reading; References; 2 Fundamentals; 2.1 Basic Algebraic Structures; 2.2 Divisibility Theory; 2.3 Arithmetic Functions; 2.4 Congruence Theory; 2.5 Primitive Roots; 2.6 Elliptic Curves; 2.7 Bibliographic Notes and Further Reading; References; Part II Computational Number Theory. 5.6 Bibliographic Notes and Further ReadingReferences; Part III Modern Cryptography; 6 Secret-Key Cryptography; 6.1 Cryptography and Cryptanalysis; 6.2 Classic Secret-Key Cryptography; 6.3 Modern Secret-Key Cryptography; 6.4 Bibliographic Notes and Further Reading; References; 7 Integer Factorization Based Cryptography; 7.1 RSA Cryptography; 7.2 Cryptanalysis of RSA; 7.3 Rabin Cryptography; 7.4 Residuosity Based Cryptography; 7.5 Zero-Knowledge Proof; 7.6 Bibliographic Notes and Further Reading; References; 8 Discrete Logarithm Based Cryptography. 8.1 Diffie-Hellman-Merkle Key-Exchange Protocol8.2 ElGamal Cryptography; 8.3 Massey-Omura Cryptography; 8.4 DLP-Based Digital Signatures; 8.5 Bibliographic Notes and Further Reading; References; 9 Elliptic Curve Discrete Logarithm Based Cryptography; 9.1 Basic Ideas; 9.2 Elliptic Curve Diffie-Hellman-Merkle Key Exchange Scheme; 9.3 Elliptic Curve Massey-Omura Cryptography; 9.4 Elliptic Curve ElGamal Cryptography; 9.5 Elliptic Curve RSA Cryptosystem; 9.6 Menezes-Vanstone Elliptic Curve Cryptography; 9.7 Elliptic Curve DSA; 9.8 Bibliographic Notes and Further Reading; References. Part IV Quantum Resistant Cryptography10 Quantum Computational Number Theory; 10.1 Quantum Algorithms for Order Finding; 10.2 Quantum Algorithms for Integer Factorization; 10.3 Quantum Algorithms for Discrete Logarithms; 10.4 Quantum Algorithms for Elliptic Curve Discrete Logarithms; 10.5 Bibliographic Notes and Further Reading; References; 11 Quantum Resistant Cryptography; 11.1 Coding-Based Cryptography; 11.2 Lattice-Based Cryptography; 11.3 Quantum Cryptography; 11.4 DNA Biological Cryptography; 11.5 Bibliographic Notes and Further Reading; References; INDEX. |