Cryptology: Classical and Modern(Chapman & Hall/CRC Cryptography and Network Security Series)

Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Alberti, Vigenère, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book. Features: Requires no prior programming knowledge or background in college-level mathematics Illustrates the importance of cryptology in cultural and historical contexts, including the Enigma machine, Turing bombe, and Navajo code Gives straightforward explanations of the Advanced Encryption Standard, public-key ciphers, and message authentication Describes the implementation and cryptanalysis of classical ciphers, such as substitution, transposition, shift, affine, Alberti, Vigenère, and Hill

Table of Contents:
1. Introduction to Cryptology Basic Terminology Cryptology in Practive Why Study Cryptology? 2. Substitution Ciphers Keyword Substitution Ciphers Cryptanalysis of Substitution Cipher Playrair Ciphers The Navajo Code 3. Transposition Ciphers Columnar Transposition Ciphers Cryptanalysis of Transposition Ciphers ADFGX and ADFGVX Ciphers 4. The Enigma Machine The Enigma Cipher Machine Combinatorics Security of the Enigma Machine 5. The Turing Bombe Cribs and Menus Loops and Logical Inconsistencies Searching for the Correct Configuration The Diagonal Board The Checking Machine Turnovers Clonking Final Observations 6. Shift and Affine Ciphers Modular Arithmetic Shift Ciphers Cryptanalysis of Shift Ciphers Affine Ciphers Cryptanalysis of Affine Ciphers 7. Alberti and Vigenere Ciphers Alberti Ciphers Vigenere Ciphers Probability The Friedman Test The Kasiski Test Cryptanalyis of Vigenere Keyword Ciphers 8. Hill Ciphers Matrices Hill Ciphers Cryptanalyis of Hill Ciphers 9. RSA Ciphers Introduction to Public-Key Ciphers Introduction to RSA Ciphers The Euclidean Algorithm Modular Exponentiation ASCII RSA Ciphers Cryptanalyis of RSA Ciphers Primality Testing Integer Factorization The RSA Factoring Challenges 10. ElGamal Ciphers The Diffie-Hellman Key Exchange Discrete Logarithms ElGamal Ciphers Cryptanalyis of ElGamal Ciphers 11. The Advanced Encryption Standard Representations of Numbers Sream Ciphers AES Preliminaries AES Encryption AES Decryption AES Security 12. Message Authentication RSA Signatures Hash Functions RSA Signatures with Hashing The Man-in-the-Middle Attack Public-Key Infrastructures Bibliography Hints and Answers for Selected Exercises Index

About the Author :
Richard E. Klima is a professor in the Department of Mathematical Sciences at Appalachian State University. Prior to Appalachian State, Dr. Klima was a cryptologic mathematician at the National Security Agency. He earned a Ph.D. in applied mathematics from North Carolina State University. His research interests include cryptology, error-correcting codes, applications of linear and abstract algebra, and election theory. Neil P. Sigmon is a professor in the Department of Mathematics and Statistics at Radford University. Dr. Sigmon earned a Ph.D. in applied mathematics from North Carolina State University. His research interests include cryptology, the use of technology to illustrate mathematical concepts, and applications of linear and abstract algebra.