Pub. Date:
Applied Cryptography: Protocols, Algorithms, and Source Code in C / Edition 2

Applied Cryptography: Protocols, Algorithms, and Source Code in C / Edition 2

by Bruce Schneier
Current price is , Original price is $60.0. You

Temporarily Out of Stock Online

Please check back later for updated availability.


". . .the best introduction to cryptography I've ever seen. . . .The book the National Security Agency wanted never to be published. . . ." -Wired Magazine

". . .monumental . . . fascinating . . . comprehensive . . . the definitive work on cryptography for computer programmers . . ." -Dr. Dobb's Journal

". . .easily ranks as one of the most authoritative in its field." -PC Magazine

". . .the bible of code hackers." -The Millennium Whole Earth Catalog

This new edition of the cryptography classic provides you with a comprehensive survey of modern cryptography. The book details how programmers and electronic communications professionals can use cryptography-the technique of enciphering and deciphering messages-to maintain the privacy of computer data. It describes dozens of cryptography algorithms, gives practical advice on how to implement them into cryptographic software, and shows how they can be used to solve security problems. Covering the latest developments in practical cryptographic techniques, this new edition shows programmers who design computer applications, networks, and storage systems how they can build security into their software and systems.

What's new in the Second Edition?
* New information on the Clipper Chip, including ways to defeat the key escrow mechanism
* New encryption algorithms, including algorithms from the former Soviet Union and South Africa, and the RC4 stream cipher
* The latest protocols for digital signatures, authentication, secure elections, digital cash, and more
* More detailed information on key management and cryptographic implementations

Product Details

ISBN-13: 9780471117094
Publisher: Wiley
Publication date: 11/01/1995
Edition description: Revised
Pages: 792
Sales rank: 521,531
Product dimensions: 9.24(w) x 7.38(h) x 1.67(d)

About the Author

BRUCE SCHNEIER is President of Counter-pane Systems, a consulting firm specializing in cryptography and computer security. He is a contributing editor to Dr. Dobb's Journal, serves on the board of directors of the International Association of Cryptologic Research, and is a member of the Advisory Board for the Electronic Privacy Information Center. He is the author of E-Mail Security (Wiley) and is a frequent lecturer on cryptography, computer security, and privacy.

Read an Excerpt

Chapter 8: Key Management

8.4 Verifying Keys

When Bob receives a key, how does he know it came from Alice and not from someone pretending to be Alice? If Alice gives it to him when they are face-to-face, it's easy. If Alice sends her key via a trusted courier, then Bob has to trust the courier. if the key is encrypted with a key-encryption key, then Bob has to trust the fact that only Alice has that key. if Alice uses a digital signature protocol to sign the key, Bob has to trust the public-key database when he verifies that signature. (He also has to trust that Alice has kept her key secure.) If a Key Distribution Center (KDC) signs Alice's public key, Bob has to trust that his copy of the KDC's public key has not been tampered with.

In the end, someone who controls the entire network around Bob can make him think whatever he likes. Mallory could send an encrypted and signed message purporting to be from Alice. When Bob tried to access the public-key database to verify Alice's signature, Mallory could substitute his own public key. Mallory could invent his own false KDC and exchange the real KDC's public key for his own creation. Bob wouldn't be the wiser.

Some people have used this argument to claim that public-key cryptography is useless. Since the only way for Alice and Bob to ensure that their keys have not been tampered with is to meet face-to-face, public-key cryptography doesn't enhance security at all.

This view is naive. It is theoretically true, but reality is far more complicated. Public-key cryptography, used with digital signatures and trusted KDCs, makes it much more difficult to substitute one key for another. Bob can never be absolutely certain that Mallory isn't controlling his entire reality, but Bob can be confident that doing so requires more resources than most real-world Mallorys have access to.

Bob could also verify Alice's key over the telephone, where he can hear her voice. Voice recognition is a really good authentication scheme. If it's a public key, he can safely recite it in public. If it's a secret key, he can use a one-way hash function to verify the key. Both PGP (see Section 24.12) and the AT&T TSD (see Section 24.18) use this kind of key verification.

Sometimes, it may not even be important to verify exactly whom a public key belongs to. it may be necessary to verify that it belongs to the same person to whom it belonged last year. If someone sends a signed withdrawal message to a bank, the bank does not have to be concerned with who withdraws the money, only whether it is the same person who deposited the money in the first place.

Error Detection during Key Transmission

Sometimes keys get garbled in transmission. Since a garbled key can mean megabytes of undecryptable ciphertext, this is a problem. All keys should be transmitted with some kind of error detection and correction bits. This way errors in transmission can be easily detected and, if required, the key can be resent.

One of the most widely used methods is to encrypt a constant value with the key, and to send the first 2 to 4 bytes of that ciphertext along with the key. At the receiving end, do the same thing. If the encrypted constants match, then the key has been transmitted without error. The chance of an undetected error ranges from one in 2(16) to one in 2(32).

Key-error Detection during Decryption

Sometimes the receiver wants to check if a particular key he has is the correct symmetric decryption key. If the plaintext message is something like ASCII, he can try to decrypt and read the message. If the plaintext is random, there are other tricks.

The naive approach is to attach a verification block: a known header to the plaintext message before encryption. At the receiving end, Bob decrypts the header and verifies that it is correct. This works, but it gives Eve a known plaintext to help cryptanalyze the system. It also makes attacks against short-key ciphers like DES and all exportable ciphers easy. Precalculate the checksum once for each key, then use that checksum to determine the key in any message you intercept after that. This is a feature of any key checksum that doesn't include random or at least different data in each checksum. It's very similar in concept to using salt when generating keys from passphrases.

Here's a better way to do this [821]:

(1) Generate an IV (not the one used for the message).
(2) Use that IV to generate a large block of bits: say, 512.
(3) Hash the result.
(4) Use the same fixed bits of the hash, say 32, for the key checksum.

This gives Eve some information, but very little. If she tries to use the low 32 bits of the final hash value to mount a brute-force attack, she has to do multiple encryptions plus a hash per candidate key; brute-force on the key itself would be quicker.

She also gets no known-plaintext values to try out, and even if she manages to choose our random value for us, she never gets a chosen-plaintext out of us, since it goes through the hash function before she sees it.


Software encryption is scary. Gone are the days of simple microcomputers under the control of single programs. Now there's Macintosh System 7, Windows NT, and UNIX. You can't tell when the operating system will suspend the encryption application in progress, write everything to -disk, and take care of some pressing task. When the operating system finally gets back to encrypting whatever is being encrypted, everything will look just fine. No one will ever realize that the operating system wrote the encryption application to disk, and that it wrote the key along with it. The key will sit on the disk, unencrypted, until the computer writes over that area of memory again. It could be minutes or it could be months. It could even be never; the key could still be sitting there when an adversary goes over the hard drive with a fine-tooth comb. In a preemptive, multitasking environment, you can set your encryption operation to a high enough priority so it will not be interrupted. This would mitigate the risk. Even so, the whole thing is dicey at best.

Some communications applications, such as telephone encryptors, can use session keys. A session key is a key that is just used for one communications sessiona single telephone conversation-and then discarded. There is no reason to store the key after it has been used. And if you use some key-exchange protocol to transfer the key from one conversant to the other, the key doesn't have to be stored before it is used either. This makes it far less likely that the key might be compromised.

Controlling Key Usage

In some applications it may be desirable to control how a session key is used. Some users may need session keys only for encryption or only for decryption. Session keys might only be authorized for use on a certain machine or at a certain time. One scheme to handle these sorts of restrictions attaches a Control Vector (CV) to the key; the control vector specifies the uses and restrictions for that key (see Section 24.1) [1025,1026]. This CV is hashed and XORed with a master key; the result is used as an encryption key to encrypt the session key. The resultant encrypted session key is then stored with the CV. To recover the session key, hash the CV and XOR it with the master key, and use the result to decrypt the encrypted session key.

The advantages of this scheme are that the CV can be of arbitrary length and that it is always stored in the clear with the encrypted key. This scheme assumes quite a bit about tamperproof hardware and the inability of users to get at the keys directly. This system is discussed further in Sections 24.1 and 24.8.

8.6 Updating Keys

Imagine an encrypted data link where you want to change keys daily. Sometimes it's a pain to distribute a new key every day. An easier solution is to generate a new key from the old key; this is sometimes called key updating.

All it takes is a one-way function. if Alice and Bob share the same key and they both operate on it using the same one-way function, they will get the same result. Then they can take the bits they need from the results to create the new key.

Key updating works, but remember that the new key is only as secure as the old key was. If Eve managed to get her hands on the old key, she can perform the key updating function herself. However, if Eve doesn't have the old key and is trying a ciphertext-only attack on the encrypted traffic, this is a good way for Alice and Bob to protect themselves.

8.7 Storing Keys

The least complex key storage problem is that of a single user, Alice, encrypting files for later use. Since she is the only person involved, she is the only person responsible for the key. Some systems take the easy approach: The key is stored in Alice's brain and never on the system. Alice is responsible for remembering the key and entering it every time she needs a file encrypted or decrypted....

Table of Contents

Partial table of contents:


Protocol Building Blocks.

Basic Protocols.

Intermediate Protocols.

Advanced Protocols.

Esoteric Protocols.


Key Length.

Key Management.

Algorithm Types and Modes.

Using Algorithms.


Data Encryption Standard (DES).

Other Block Ciphers.

Other Stream Ciphers and Real Random-Sequence Generators.

Public-Key Algorithms.

Special Algorithms for Protocols.


Example Implementations.


SOURCE CODE.source Code.



There are two kinds of cryptography in this world: cryptography that will stop your kid sister from reading your files, and cryptography that will stop major governments from reading your files. This book is about the latter.

If I take a letter, lock it in a safe, hide the safe somewhere in New York, and then tell you to read the letter, that's not security. That's obscurity. On the other hand, if I take a letter and lock it in a safe, and then give you the safe along with the design specifications of the safe and a hundred identical safes with their combinations so that you and the world's best safecrackers can study the locking mechanism--and you still can't open the safe and read the letter, that's security.

For many years, this sort of cryptography was the exclusive domain of the military. The United States' National Security Agency (NSA), and their counterparts in the former Soviet Union, England, France, Israel, and elsewhere, have spent billions of dollars in the very serious game of securing their own communications while trying to break everyone else's. Private individuals, with far less expertise and budget, have been powerless to protect their own privacy against these governments.

During the last 20 years, public academic research in cryptography has exploded. While classical cryptography has been long used by ordinary citizens, since World War II computer cryptography was the exclusive domain of the world's militaries. Today, state-of-the-art computer cryptography is practiced outside the secured walls of the military agencies. The layperson can now employ security practices that can protect against the most powerful ofadversaries--security that may protect against military agencies for years to come.

Do average people really need this kind of security? Yes. They may be planning a political campaign, discussing taxes, or having an illicit affair. They may be designing a new product, discussing a marketing strategy, or planning a hostile business takeover. Or they may be living in a country that does not respect the rights of privacy of its citizens. They may be doing something that they feel shouldn't be illegal, but is. For whatever reason, the data and communications are personal, private, and no one else's business.

This book is being published in a tumultuous time. In 1994, the Clinton administration approved the Escrowed Encryption Standard (including the Clipper chip) and signed the Digital Telephony bill into law. Both of these initiatives try to ensure the government's ability to conduct electronic surveillance.

Some dangerously Orwellian assumptions are at work here: that the government has right to listen to private communications, and that there is something wrong with a private citizen trying to keep a secret from the government. Law enforcement has always been able to conduct court authorized surveillance if possible, but this is the first time that the people have been forced to take active measures to make themselves available for surveillance. These initiatives are not simply government proposals in some obscure area; they are preemptive and unilateral attempts to usurp powers that previously belonged to the people.

Clipper and Digital Telephony do not protect privacy; they force individuals to unconditionally trust that the government will respect their privacy. The same law enforcement authorities who illegally tapped Martin Luther King Jr.'s phones can easily tap a phone protected with Clipper. In the recent past, local police authorities have either been charged criminally or sued civilly in numerous jurisdictions--Maryland, Connecticut, Vermont, Georgia, Missouri, and Nevada--for conducting illegal wiretaps. It's a poor idea to deploy a technology that could some day facilitate a police state.

The lesson here is that it is insufficient to protect ourselves with laws; we need to protect ourselves with mathematics. Encryption is too important to be left solely to governments. This book gives you the tools you need to protect your own privacy; cryptography products may be declared illegal, but the information will never be.

How to Read This Book

I wrote Applied Cryptography to be a both a lively introduction to the field of cryptography and a comprehensive reference work. I have tried to keep the text readable without sacrificing accuracy. This book is not intended to be a mathematical text. Although I have not deliberately given any false information, I do play fast and loose with theory. For those interested in formalism, there are copious references to the academic literature.

Chapter 1 introduces cryptography, defines many terms, and briefly discusses precomputer cryptography.

Chapters 2 through 6 (Part I) describe cryptographic protocols: what people can do with cryptography. The protocols range from the simple (sending encrypted messages from one person to another) to the complex (flipping a coin over the telephone) to the esoteric (secure and anonymous digital money exchange). Some of these protocols are obvious; others are almost amazing. Cryptography can solve a lot of problems that most people never realized it could.

Chapters 7 through 10 (Part II) discuss cryptographic techniques. All four chapters in this section are important for even the most basic uses of cryptography. Chapters 7 and 8 are about keys: how long a key should be in order to be secure, how to generate keys, how to store keys, how to dispose of keys, and so on. Key management is the hardest part of cryptography and often the Achilles' heel of an otherwise secure system. Chapter 9 discusses different ways of using cryptographic algorithms, and Chapter 10 gives the odds and ends of algorithms: how to choose, implement, and use algorithms.

Chapters 11 through 23 (Part III) list algorithms. Chapter 11 provides the mathematical background. This chapter is only required if you are interested in public-key algorithms. If you just want to implement DES (or something similar), you can skip ahead. Chapter 12 discusses DES: the algorithm, its history, its security, and some variants. Chapters 13, 14, and 15 discuss other block algorithms; if you want something more secure than DES, skip to the section on IDEA and triple-DES. If you want to read about a bunch of algorithms, some of which may be more secure than DES, read the whole chapter. Chapters 16 and 17 discuss stream algorithms. Chapter 18 focuses on one-way hash functions; MD5 and SHA are the most common, although I discuss many more. Chapter 19 discusses public-key encryption algorithms, chapter 20 discusses public-key digital signature algorithms, chapter 21 discusses public-key identification algorithms, and chapter 22 discusses public-key key exchange algorithms. The important algorithms are RSA, DSA, Fiat-Shamir, and Diffie-Hellman, respectively. Chapter 23 has more esoteric public-key algorithms and protocols; the math in this chapter is quite complicated, so wear your seat belt.

Chapters 24 and 25 (Part IV) turn to the real world of cryptography. Chapter 24 discusses some of the current implementations of these algorithms and protocols, while chapter 25 touches on some of the political issues surrounding cryptography. These chapters are by nomeans intended to be comprehensive.

Also included are source code listings for ten algorithms discussed in Part III. I was unable to include all the code I wanted to due to space imitations, and cryptographic source code cannot otherwise be exported. (Amazingly enough, the State Department allowed export of the first edition of this book with source code, but denied export for a computer disk with the exact same source code on it. Go figure.) An associated source code disk set includes much more source code than I could fit in this book; it is probably the largest collection of cryptographic source code outside a military institution. I can only send source code disks to U.S. and Canadian citizens living in the U.S. and Canada, but hopefully that will change someday. If you are interested in implementing or playing with the cryptographic algorithms in this book, get the disk. See the last page of the book for details.

One criticism of this book is that its encyclopedic nature takes away from its readability. This is true, but I wanted to provide a single reference for those who might come across an algorithm in the academic literature or in a product. For those who are more interested in a tutorial, I apologize. A lot is being done in the field; this is the first time so much of it has been gathered between two covers. Even so, space considerations forced me to leave many things out. I covered topics that I felt were important, practical, or interesting. If I couldn't cover a topic in depth, I gave references to articles and papers that did.

I have done my best to hunt down and eradicate all errors in this book, but many have assured me that it is an impossible task. Certainly, the second edition has far fewer errors than the first. An errata listing is available from me and will be periodically posted to the Usenet newsgroup sci.crypt. If any reader finds an error, please let me know. I'll send the first person to find each error in the book will get a free copy of the source code disk.


The list of people who had a hand in this book may seem unending, but all are worthy of mention. I would like to thank Don Alvarez, Ross Anderson, Dave Balenson, Karl Barrus, Steve Bellovin, Dan Bernstein, Eli Biham, Joan Boyar, Karen Cooper, Whit Diffie, Joan Feigenbaum, Phil Karn, Neal Koblitz, Xuejia Lai, Tom Leranth, Mike Markowitz, Ralph Merkle, Bill Patton, Peter Pearson, Charles Pfleeger, Ken Pizzini, Bart Preneel, Mark Riordan, Joachim Schurman, and Marc Schwartz for reading and editing all or parts of the first edition; Marc Vauclair for translating the first edition into French; Abe Abraham, Ross Anderson, Steve Bellovin, Eli Biham, Matt Bishop, Matt Blaze, Gary Carter, Jan Comenisch, Claude Cr=E9peau, Joan Daemen, Jorge Davila, Ed Dawson, Whit Diffie, Carl Ellison, Joan Feigenbaum, Niels Ferguson, Matt Franklin, Rosario Gennaro, Dieter Gollmann, Mark Goresky, Richard Graveman, Stuart Haber, Jingman He, Bob Hogue, Kenneth Iversen, Markus Jakobsson, Burt Kaliski, Phil Karn, John Kelsey, John Kennedy, Lars Knudsen, Paul Kocher, John Ladwig, Xuejia Lai, Arjen Lenstra, Paul Leyland, Mike Markowitz, Jim Massey, Bruce McNair, William Hugh Murray, Roger Needham, Clif Neuman, Kaisa Nyberg, Luke O'Connor, Peter Pearson, Ren=E9 Peralta, Yisrael Radai, Michael Roe, Phil Rogaway, Avi Rubin, Paul Rubin, Selwyn Russell, Kazue Sako, Mahmoud Salmasizadeh, Markus Stadler, Dmitry Titov, Jimmy Upton, Marc Vauclair, Serge Vaudenay, Gideon Yuval, and Glen Zorn for reading and editing all or parts of the second-edition; Lawrie Brown, Leisa Condie, Joan Daemen, Peter Gutmann, Alan Insley, Chris Johnston, John Kelsey, Xuejia Lai, Bill Leininger, Mike Markowitz, Richard Outerbridge, Peter Pearson, Ken Pizzini, Colin Plumb, RSA Data Security, Inc., Michael Roe, Michael Wood, and Phil Zimmermann for providing source code; Paul MacNerland for creating the figures for the first edition; Karen Cooper for copyediting the second edition; Beth Friedman for proofreading the second edition; Carol Kennedy for indexing the second edition; the readers of sci.crypt and the Cypherpunks mailing list for commenting on ideas, answering questions, and finding errors in the first edition; Randy Seuss for providing Internet access; Jeff Duntemann and Jon Erickson for helping me get started; assorted random Insleys for the impetus, encouragement, support, conversations, friendship, and dinners; and AT&T Bell Labs for firing me and making this all possible. All these people helped to create a far better book than I could have created alone.

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews

Applied Cryptography: Protocols, Algorithms, and Source Code in C 4.6 out of 5 based on 0 ratings. 8 reviews.
jaygheiser on LibraryThing More than 1 year ago
I've owned this book for two years and have been picking away at it since January of this year. This is absolutely the best book on encryption. I strongly recommend it.
kislam on LibraryThing More than 1 year ago
Contains both an excellent introduction to information security and the cryptographic problem as well as detailing implementations for many algorithms. Includes a section on real world case studies, but given the book's age, those should be taken with a grain of salt and a heavy dose of research.
Pondlife on LibraryThing More than 1 year ago
I read this book back in 1998, and it was the first serious cryptography book I'd read.It's the classic reference book, and it covers a lot of ground.It's over 15 years old now, so it's missing some of the recent algorithms and techniques. Notable omissions include 128-bit blocksize block ciphers like AES, Twofish and Serpent; and elliptic curve cryptography that's often used on mobile devices.
mcandre on LibraryThing More than 1 year ago
The go-to book on cryptography for programmers.
Wprecht on LibraryThing More than 1 year ago
Simply the best book out there for the programmer that needs to learn and understand the fundamentals of *applied* cryptography.
Guest More than 1 year ago
This book severely needs a new addition. This was the first technical crypto book I read, and I consulted it frequently in college. While it has many different ciphers, most are taken from the creators research papers, and not enough thorough explanation is given. Also, the Source Code in the back is out of date, and missing key parts of the code. Overall, it is a must to have in your collection of cryptography manuals, but you should consult other books as well. Consult Stallings for the best book though.
Guest More than 1 year ago
This is a fine, well written book, covering the spectrum of crypto. As a writer I can only admire Bruce's skill in explaining difficult technical subjects clearly. Get this book first. 'This is K&R for crypto'...
Guest More than 1 year ago
If you are into cryptography and there is just one book you are going to buy ,then this is it. It is a comprehensive, easy to understand book which touches on many topics within the field. Examples are in plenty and it is not a boring read at all. Technically, I find this book very sound. The explanation of key exchange, zero knowledge proofs, DES, RSA and authentication mechanisms is particulary good. It probably needs a new edition now with some additions on ECC, ECDSA, AES etc. But it is still good to have.