Secret History: The Story of Cryptology (Discrete Mathematics and Its Applications)

Winner of an Outstanding Academic Title Award from CHOICE Magazine Most available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History: The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the book presents the mathematics in sufficient detail and weaves the history throughout the chapters. In addition to the fascinating historical and political sides of cryptology, the author—a former Scholar-in-Residence at the U.S. National Security Agency (NSA) Center for Cryptologic History—includes interesting instances of codes and ciphers in crime, literature, music, and art. Following a mainly chronological development of concepts, the book focuses on classical cryptology in the first part. It covers Greek and Viking cryptography, the Vigenère cipher, the one-time pad, transposition ciphers, Jefferson’s cipher wheel, the Playfair cipher, ADFGX, matrix encryption, World War II cipher systems (including a detailed examination of Enigma), and many other classical methods introduced before World War II. The second part of the book examines modern cryptology. The author looks at the work of Claude Shannon and the origin and current status of the NSA, including some of its Suite B algorithms such as elliptic curve cryptography and the Advanced Encryption Standard. He also details the controversy that surrounded the Data Encryption Standard and the early years of public key cryptography. The book not only provides the how-to of the Diffie-Hellman key exchange and RSA algorithm, but also covers many attacks on the latter. Additionally, it discusses Elgamal, digital signatures, PGP, and stream ciphers and explores future directions such as quantum cryptography and DNA computing. With numerous real-world examples and extensive references, this book skillfully balances the historical aspects of cryptology with its mathematical details. It provides readers with a sound foundation in this dynamic field. Winner of an Outstanding Academic Title Award from CHOICE Magazine Most available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the book presents the mathematics in sufficient detail and weaves the history throughout the chapters. In addition to the fascinating historical and political sides of cryptology, the authora former Scholar-in-Residence at the U.S. National Security Agency (NSA) Center for Cryptologic Historyincludes interesting instances of codes and ciphers in crime, literature, music, and art. Following a mainly chronological development of concepts, the book focuses on classical cryptology in the first part. It covers Greek and Viking cryptography, the Vigenre cipher, the one-time pad, transposition ciphers, Jeffersons cipher wheel, the Playfair cipher, ADFGX, matrix encryption, World War II cipher systems (including a detailed examination of Enigma), and many other classical methods introduced before World War II. The second part of the book examines modern cryptology. The author looks at the work of Claude Shannon and the origin and current status of the NSA, including some of its Suite B algorithms such as elliptic curve cryptography and the Advanced Encryption Standard. He also details the controversy that surrounded the Data Encryption Standard and the early years of public key cryptography. The book not only provides the how-to of the Diffie-Hellman key exchange and RSA algorithm, but also covers many attacks on the latter. Additionally, it discusses Elgamal, digital signatures, PGP, and stream ciphers and explores future directions such as quantum cryptography and DNA computing. With numerous real-world examples and extensive references, this book skillfully balances the historical aspects of cryptology with its mathematical details. It provides readers with a sound foundation in this dynamic field. Please visit Dr. Bauer's website, which provides access to exercise Front Cover Contents Note to the Reader Introduction Acknowledgments Chapter 1 - Ancient Roots Chapter 2 - Monalphabetic Substitution Ciphers, or MASCs: Disguises for Messages Chapter 3 - Simple Progression to an Unbreakable Cipher Chapter 4 - Transposition Ciphers Chapter 5 - Shakespeare, Jefferson, and JFK Chapter 6 - World War I and Herbert O. Yardley Chapter 7 - Matrix Encryption Chapter 8 - World War II: The Enigma of Germany Chapter 9 - Cryptologic War against Japan Chapter 10 - Claude Shannon Chapter 11 - National Security Agency Chapter 12 - Data Encryption Standard Chapter 13 - Birth of Public Key Cryptography Chapter 14 - Attacking RSA Chapter 15 - Primality Testing and Complexity Theory Chapter 16 - Authenticity Chapter 17 - Pretty Good Privacy Chapter 18 - Stream Ciphers Chapter 19 - Suite B All-Stars Chapter 20 - Possible Futures Back Cover Ancient Roots -- Monalphabetic Substitution Ciphers, Or Mascs : Disguises For Messages -- Simple Progression To An Unbreakable Cipher -- Transposition Ciphers -- Shakespeare, Jefferson, And Jfk -- World War I And Herbert O. Yardley -- Matrix Encryption -- World War Ii : The Enigma Of Germany -- Cryptologic War Against Japan -- Claude Shannon -- National Security Agency -- Data Encryption Standard -- Birth Of Public Key Cryptography -- Attacking Rsa -- Primality Testing And Complexity Theory -- Authenticity -- Pretty Good Privacy -- Stream Ciphers -- Suite B All-stars -- Possible Futures. Craig P. Bauer. Includes Bibliographical References. ""Secret History is a highly recommended purchase to be considered by those with a serious interest in both the history and the 'nuts and bolts' of modem-day codes and ciphers. lt is both a work of pedagogy, along with its various exercises linked to individual chapters accessible via a linked website, and an interesting and exciting 'read' for anyone with a serious interest in the subject of today's cryptology and its history.""-The Cryptogram, 2014""The book presents a wonderful story of the development of this field. It is written more like a novel than like your traditional textbook, but i "Codes are a part of everyday life, from the ubiquitous Universal Price Code (UPC) to postal zip codes. They need not be intended for secrecy. They generally use groups of letters (sometimes pronounceable code words) or numbers to represent other words or phrases. There is typically no mathematical rule to pair an item with its representation in code. A few more examples will serve to illustrate the range of codes"-- Provided by publisher