Introduction to Cryptography with JavaTM Applets delves into the art of transforming information into cryptic messages, and explores the challenge of deciphering secret code. The author provides a distinctively balanced introduction to the mathematics of cryptography and the programming of ciphers. This fresh didactic approach demonstrates the fundamental role of powerful mathematics in modern cryptosystems, while introducing programming concepts in JavaTM, a language designed for system security. With accessible examples that engage the reader, this text fosters interactivity through online JavaTM applets that demonstrate important concepts. Readers learn the mathematical theory of cryptography, and how to write algorithms “from the ground up” to implement the theory.

• Offers a balanced presentation of mathematics and programming. • Contains code for alternative methods of factorization, solving the discrete logarithm problem using different techniques, executing ciphertext attacks, generating pseudorandom bit streams, producing, message digests, and more! • Provides programming exercises, mathematical exercise, proofs of results, and group exercises to help readers master cryptography concepts. • Includes interactive JavaTM applets, text files, program files, and an Instructor’s Manual on its integrated web site.

Preface / The History of Cryptography / Large Integer Computing / The Integers / Linear Diophantine Equations and Linear Congruences / Linear Ciphers / System of Linear Congruences-Single Modulus / Matrix Ciphers / Systems of Linear Congruences-Multiple Moduli / Quadratic Congruences / Quadratic Ciphers / Primality Testing / Factorization Techniques / Exponential Congruences / Exponential Ciphers / Establishing Keys and Message Exchange / Cryptographic Applications / Appendix I: List of Propositions / Appendix II: Information Theory / Index

Undergraduate and Postgraduate Students