Cryptography and Security Services: Mechanisms and applications > Number Theory and Finite Fields

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Cryptography and Security Services: Mechanisms and applications

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Foreword

Preface

Acknowledgment

Ch. I. Classic Cryptography

Ch. II. Information Assurance

Ch. III. Number Theory and Finite Fields

Number Theory and Finite Fields

Objectives

Introduction

Principle of Counting

Exponentiation and Prime Numbers

The Euclidean Algorithm

Congruence Arithmetic

Summary of Properties

Calculation of the Reciprocal (Multiplicative Inverse)

Multiplication and Exponentiation in Modulo p

RSA Algorithm

Finite Fields

Boolean Binary Expressions

Summary

Learning Objectives Review

References

Ch. IV. Confidentiality: Symmetric Encryption

Ch. V. Confidentiality: Asymmetric Encryption

Ch. VI. Integrity and Authentication

Ch. VII. Access Authentication

Ch. VIII. Elliptic Curve Cryptography

Ch. IX. Certificates and Public Key Infrastructure

Ch. X. Electronic Mail Security

Ch. XI. VPNS and IPSEC

Ch. XII. TLS, SSL, and SET

Ch. XIII. Web Services Security

Ch. XIV. Wireless Security

Glossary of Terms

About the Author

Index

Chapter III. Number Theory and Finite Fields

Number Theory and Finite Fields

Objectives

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