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Secret History: The Story of Cryptology (Discrete Mathematics and Its Applications), by Craig P. Bauer
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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.
- Sales Rank: #885286 in Books
- Published on: 2013-03-25
- Original language: English
- Number of items: 1
- Dimensions: 9.10" h x 1.60" w x 6.20" l, 2.25 pounds
- Binding: Hardcover
- 620 pages
Review
"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 it contains all the necessary material to also serve as a textbook. In fact, the author has created a companion website that provides sample syllabi and problems if the book is to be used in the classroom. … This book is enjoyable. I would recommend it to anyone interested in learning more about the topic of cryptology. It is especially interesting to someone like me, an algebraist who uses cryptology as a meaningful response to why topics in pure mathematics that do not seem to have obvious applications are still very important to study."
―MAA Reviews, August 2014
"Every once and a while a book appears that has a significant impact on the field of cryptologic history. David Kahn’s The Codebreakers and F.L. Bauer’s Decrypted Secrets are two such books. Secret History now joins that collection. … Secret History could be used as a textbook for a general education class that explores the history of cryptology (and ignores many of the mathematical sections) or for an upper-division class for mathematics or computer science majors that follows the historical evolution of cryptology (and pays attention to the mathematical sections). … What would appeal to a general audience is the engaging writing that reflects Bauer’s interest in and enthusiasm for all aspects of cryptology. … Bauer has merged cryptologic history with the mathematical foundations of cryptology in a correct, understandable, and enthusiastic presentation. Secret History is an excellent choice for a historian of cryptology, a teacher of cryptology, or anyone who wants to get a glimpse of cryptology."
―Chris Christensen, Cryptologia
"… fascinating read that provides a combination of cryptographic history and the underlying mathematics behind it. … For those looking for a comprehensive and decipherable text on the history of cryptography, this is one of the best on the topic in many years. Kahn’s book laid the groundwork that made a book like this possible and Secret History: The Story of Cryptology is a worthy follow-up to that legendary text."
―Ben Rothke, Slashdot.org, 2013
"… one of the most engaging storytelling adventures on the evolution of secret keeping. In the first part of the book, Bauer (York College of Pennsylvania; formerly, scholar-in-residence, National Security Agency) discusses the inception of secret codes in Viking messages and substitution ciphers in the era of Caesar, as well as cryptography in works of fiction such as Edgar Allen Poe’s short story "The Gold Bug." Of course, Bauer also covers the famous Bletchley Park and its enigmatic star, Alan Turing. The second part focuses on current uses of cryptography and ends with a discussion of quantum cryptography. The book will challenge anyone with even a passing interest in cryptography to try to resist developing an intense passion for it. The math behind the systems described, while present, is never obscured by the fascinating setting in which it was developed. This is the way in which cryptography, one of the most difficult applications of discrete mathematics, was meant to be learned, with real-life cloak-and-dagger intrigue. Summing Up: Highly recommended. All levels/libraries."
―T.D. Richardson, CHOICE, Vol. 51, 2013
"… looking at the table of contents it appears EXCELLENT. The field is covered thoroughly and comprehensively and in a very up-to-date manner. It is by far the clearest and most comprehensive of the books dealing with the new cryptology, including of course the classic ciphers and some of the important historical ones such as Enigma and Purple, but also the newer systems such as DES and public-key cryptography. The history seems accurate and the book provides what I was unable to give cryptology―a mathematical underpinning to it all. … All of us in the cryptology community are grateful to you for it."
―David Kahn, historian, and author of The Codebreakers
"There have been plenty of 'light reading' books covering the history and mechanics of cryptology - this isn't one of them. Most focus on light math concepts and/or history - this isn't one of them. Instead, it covers both but provides much more depth and detail, surveying the political side of cryptology's developments, the use of codes in crime, music and literature, and considering how classical cryptology grew from Greek to modern times. It provides close examination of the groundbreaking works of cryptologists and considers specific algorithms and their functions, and it provides charts, graphs and calculations to show exactly how cryptology works. Any with more than a casual interest in the topic will find this a solid reference."
―California Bookwatch, January 2014
About the Author
Craig P. Bauer is an associate professor of mathematics at York College of Pennsylvania and the editor-in-chief of Cryptologia. He was the 2011-2012 Scholar-in-Residence at the National Security Agency (NSA) Center for Cryptologic History, where he wrote several papers for NSA journals, gave a large number of lectures, and made substantial progress on a second book focused on unsolved codes and ciphers. He earned a Ph.D. in mathematics from North Carolina State University.
Most helpful customer reviews
12 of 14 people found the following review helpful.
Excellent comprehensive and decipherable text on the history of cryptography
By Ben Rothke
Narrating a compelling and interesting story about cryptography is not an easy endeavor. Many authors have tried and failed miserably; attempting to create better anecdotes about the adventures of Alice and Bob. David Kahn did the best job of it when wrote The Codebreakers: The story of secret writing in 1967 and set the gold standard on the information security narrative. Kahn's book was so provocative and groundbreaking that the US Government originally censored many parts of it.
A lot has changes since 1967, and while Secret History: The Story of Cryptology is not as groundbreaking, it also has no government censorship. With that, the book is fascinating read that provides a combination of cryptographic history and the underlying mathematics behind it.
As a preface; the book has cryptology in its title, which is for the most part synonymous with cryptography. Since cryptography is more commonly used, I'll use it in this review.
Kahn himself wrote that he felt this book is by far the clearest and most comprehensive of the books dealing with the modern era of cryptography including classic ciphers and some of the important historical ones such as Enigma and Purple; but also newer systems such as AES and public-key cryptography.
The book claims that the mathematics detailed in it are accessible requiring minimal mathematical prerequisites. But the reality is that is does require at least a college level understanding, including algebra, calculus and more.
As an aside, nearly every book on encryption and cryptography that claims no advanced mathematical knowledge is needed doesn't meet that claim. With that, Bauer does a good job of separating the two narratives in the book (cryptography and history), so one who is not comfortable with the high-level math can easily parse through those sections.
Bauer brings an extensive pedigree to the book, as he is a former scholar-in-residence at the NSA Center for Cryptologic History. While Bauer has a Ph.D. in mathematics, that does not take away from his ability as an excellent story teller. And let's face it; telling the story of cryptography in a compelling and readable manner is not an easy task.
The 20 chapters in the book follow a chronological development of encryption and cryptography; from Roman times to current times. Each chapter has a set of exercises. Besides being extremely well-researched, each chapter has numerous items for further reading and research.
Chapters 1-9 are focused on classical cryptology, with topics ranging from the Caesar cipher, Biblical cryptology, to a history of the Vigenère cipher, the ciphers of WW1 and WW2 and more.
In chapter 8 World War II: The Enigma of Germany, Bauer does a great job of detailing how the Enigma machine worked, including details regarding the cryptanalysis of the device, both in its rotor wirings and how recovering its daily keys ultimately lead to is being broken. The chapter also asked the question: what if Enigma had never been broken, and provides a provocative answer to that.
Chapter 8 opens with the famous quote from Ben Franklin that "three may keep a secret if two of them are dead". He notes that the best counterexample to that is of the 10,000 people that were involved in the project to break the Enigma. They all were able to maintain their silence about the project for decades; which clearly shows that large groups can indeed keep a secret. Bauer notes that it is often a reaction to conspiracy theories that large groups of people could never keep a secret for so long.
Chapter 9 provides a fascinating account of the Navajo code talkers. These were a group of Navajo Indians who were specially recruited during World War II by the Marines to serve in their communications units. Since the Navajo language was unknown to the Axis powers; it ensured that all communications were kept completely secret.
While part 1 is quite interesting; part 2, chapters 10-20 focuses on modern cryptology and is even more fascinating. Bauer does a fantastic job of encapsulating the last 60 years of cryptography, and covers everything from the origins of the NSA, the development of DES and AES, public key cryptography and much more.
The book was printed in March 2013 just before the NSA PRISM surveillance program became public knowledge. If there is any significant mistake in the book, it is in chapter 11 where Bauer writes that "everything I've seen and heard at the NSA has convinced me that the respect for the Constitution is a key component of the culture there".
Aside from the incorrect observation about how the NSA treats the Constitution, the book does an excellent job of integrating both the history of cryptography and the mathematical element. For those that aren't interested in to the mathematics, there is plenty of narrative in the book to keep them reading.
This book is the latest in a long line of cryptography narrative, such as The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography by Simon Singh and The Codebreakers: The Comprehensive History of Secret Communication from Ancient Times to the Internet by David Kahn, and of course the classic cryptography text Applied Cryptography by Bruce Schneier, and Bauer shows himself to be a master author and story teller.
For those looking for a comprehensive and decipherable text on the history of cryptography, this is one of the best on the topic in many years.
Kahn's book laid the groundwork that made a book like this possible and Secret History: The Story of Cryptology is a worthy follow-up to that legendary text.
1 of 1 people found the following review helpful.
A very comprehensive book on a very interesting subject
By Donald M. Shepherd
I bought this book based upon the recommendation from a friend, and I have to say it is a very comprehensive volume. Suffice it to say that if you are interested in secret codes and cryptography, from ancient times to the present, buy this book, you will not be disappointed. Just look at the table of contents; everything related to codes is there.
One reviewer complained about the quality of the paper in the book. My copy is fine, it is a well-bound book of the highest quality.
In the "Note to the reader," the author gives his email address, so you can contact him with comments or questions. I wish all authors would do that.
This book is not inexpensive, but if you are a serious student of cryptography, it is well worth the money.
0 of 0 people found the following review helpful.
I think he did an excellent job of achieving his goal
By Marty Busse
In "Secret History: the story of Cryptology," Craig Bauer aims to create a book that melds two approaches to the topic: the historical approach (best exemplified by David Kahn's "The Codebreakers) and the mathematical/computer science approach (exemplified by Bruce Schneier's "Applied Cryptography" and Christopher Swenson's "Modern Cryptanalysis")...without scaring off people whose math background is limited.
I think he did an excellent job of achieving his goal. In particular, when he goes over mathematical concepts, his explanations are lucid and clear: I wish the explanation of matrices I got in school had been as good as the description he gives.
I predict that this will end up on the bookshelf of anyone with an amateur or professional interest in the subject, joining the three works I mentioned earlier and Helen Fouch Gaines' "Cryptanalysis"......or superseding them.
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