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1118188586
Computational number theory and modern cryptography / Song Y. Yan
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Author: Yan, Song Y.
Publication year: 2013
Language: English
Media class: Hardback
Classification: 005.82
Resource type: Physical
ISBN: 9781118188583
Notes:
About the Author ix <p>Preface xi</p> <p>Acknowledgments xiii</p> <p>Part I Preliminaries</p> <p>1 Introduction 3</p> <p>1.1 What is Number Theory? 3</p> <p>1.2 What is Computation Theory? 9</p> <p>1.3 What is Computational Number Theory? 15</p> <p>1.4 What is Modern Cryptography? 29</p> <p>1.5 Bibliographic Notes and Further Reading 32</p> <p>References 32</p> <p>2 Fundamentals 35</p> <p>2.1 Basic Algebraic Structures 35</p> <p>2.2 Divisibility Theory 46</p> <p>2.3 Arithmetic Functions 75</p> <p>2.4 Congruence Theory 89</p> <p>2.5 Primitive Roots 131</p> <p>2.6 Elliptic Curves 141</p> <p>2.7 Bibliographic Notes and Further Reading 154</p> <p>References 155</p> <p>Part II Computational Number Theory</p> <p>3 Primality Testing 159</p> <p>3.1 Basic Tests 159</p> <p>3.2 Miller&
This title provides a unified view of the interplay between computational number theory and cryptography. Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security.
Data encryption (Computer science)
Cryptography
Algorithms
Number theory
COM, Computers and IT, ukslc
PB, Mathematics, thema
TJ, Electronics & communications engineering, thema
UT, Computer networking & communications, thema
PBH, Number theory, thema
URY, Data encryption, thema
GPJ, Coding theory & cryptology, thema
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Singapore : Wiley, 2013
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