Invitation to Cryptology

<br> <br> 1. Origins, Examples, and Ideas in Cryptology. <br> <p> </p> <div style="margin-left: 0.2in;"> A Crypto-Chronology. Cryptology and Mathematics: Functions. Crypto: Models, Maxims, and Mystique. </div> <p></p> <br> <br> 2. Classical Cryptographic Techniques. <br> <p> </p> <div style="margin-left: 0.2in;"> Shift Ciphers and Modular Arithmetic. Affine Ciphers; More Modular Arithmetic. Substitution Ciphers. Transposition Ciphers. Polyalphabetic Substitutions. Probability and Expectation. The Friedman and Kasiski Tests. Cryptanalysis of the Vingenere Cipher. The Hill Cipher; Matrices. </div> <p></p> <br> <br> 3. Symmetric Computer-Based Cryptology. <br> <p> </p> <div style="margin-left: 0.2in;"> Number Representation. Boolean and Numerical Functions. Computational Complexity. Stream Ciphers and Feedback Shift Registers. Block Ciphers. Hash Functions. </div> <p></p> <br> <br> 4. Public-Key Cryptography. <br> <p> </p> <div style="margin-left: 0.2in;"> Primes, Factorization, and the Euclidean Algorithm. The Merkle-Hellman Knapsack. Fermat's Little Theorem. The RSA Public-Key Cryptosystem. Key Agreement. Digital Signatures. Zero-Knowledge Identification Protocols. </div> <p></p> <br> <br> 5. Case Studies and Issues. <br> <p> </p> <div style="margin-left: 0.2in;"> Case Study I: DES. Case Study II: PGP. Public-Key Infrastructure. Law and Issues Regarding Cryptography. </div> <p></p> <br> <br> Glossary. <br> <br> <br> Bibliography. <br> <br> <br> Table of Primes. <br> <br> <br> Answers to Selected Exercises. <br> <br> <br> Index. <br>