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Introduction to Cryptography with Coding Theory (2nd Edition) [Hardcover]

Wade Trappe , Lawrence C. Washington
5.0 out of 5 stars  See all reviews (2 customer reviews)
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Book Description

July 15 2005 0131862391 978-0131862395 2

With its conversational tone and practical focus, this text mixes applied and theoretical aspects for a solid introduction to cryptography and security, including the latest significant advancements in the field. Assumes a minimal background. The level of math sophistication is equivalent to a course in linear algebra. Presents applications and protocols where cryptographic primitives are used in practice, such as SET and SSL. Provides a detailed explanation of AES, which has replaced Feistel-based ciphers (DES) as the standard block cipher algorithm. Includes expanded discussions of block ciphers, hash functions, and multicollisions, plus additional attacks on RSA to make readers aware of the strengths and shortcomings of this popular scheme. For engineers interested in learning more about cryptography.


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From the Inside Flap

This book is based on a course in cryptography at the upper level undergraduate and beginning graduate level that has been given at the University of Maryland since 1997. When designing the course, we decided on the following requirements.

  • The course should be up-to-date and cover a broad selection of topics from a mathematical point of view.
  • The material should be accessible to mathematically mature students having little background in number theory and computer programming.
  • There should be examples involving numbers large enough to demonstrate how the algorithms really work.

We wanted to avoid concentrating solely on RSA and discrete logarithms, which would have made the course mostly a number theory course. We also did not want to teach a course on protocols and how to hack into friends' computers. That would have made the course less mathematical than desired.

There are numerous topics in cryptology that can be discussed in an introductory course. We have tried to include many of them. The chapters represent, for the most part, topics that were covered during the different semesters we taught the course. There is certainly more material here than could be treated in most one-semester courses. The first eight chapters represent the core of the material. The choice of which of the remaining chapters are used depends on the level of the students.

The chapters are numbered, thus giving them an ordering. However, except for Chapter 3 on number theory, which pervades the subject, the chapters are fairly independent of each other and can be covered in almost any reasonable order. Although we don't recommend doing so, a daring reader could possibly read Chapters 4 through 17 in reverse order, with only having to look ahead/behind a few times.

The chapters on Information Theory, Elliptic Curves, (quantum Methods, and Error Correcting Codes are somewhat more mathematical than the others. The chapter on Error Correcting Codes was included, at the suggestion of several reviewers, because courses that include introductions to both cryptology and coding theory are fairly common.

Computer examples. Suppose you want to give an example for RSA. You could choose two one-digit primes and pretend to be working with fifty-digit primes, or you could use your favorite software package to do an actual example with large primes. Or perhaps you are working with shift ciphers and are trying to decrypt a message by trying all 26 shifts of the ciphertext. This should also be done on a computer. At the end of the book are appendices containing Computer Examples written in each of Mathematica®, Maple®, and MATLAB® that show how to do such calculations. These languages were chosen because they are user friendly and do not require prior programming experience. Although the course has been taught successfully without computers, these examples are an integral part of the book and should be studied, if at all possible. Not only do they contain numerical examples of how to do certain computations but also they demonstrate important ideas and issues that arise. They were placed at the end of the book because of the logistic and aesthetic problems of including extensive computer examples in three languages at the ends of chapters.Homework problems (the Computer Problems in various chapters) based on the software allow students to play with examples individually. Of course, students having more programming background could write their own programs instead.

--This text refers to an alternate Hardcover edition.

From the Back Cover

With its conversational tone and practical focus, this text mixes applied and theoretical aspects for a solid introduction to cryptography and security, including the latest significant advancements in the field. Assumes a minimal background. The level of math sophistication is equivalent to a course in linear algebra. Presents applications and protocols where cryptographic primitives are used in practice, such as SET and SSL. Provides a detailed explanation of AES, which has replaced Feistel-based ciphers (DES) as the standard block cipher algorithm. Includes expanded discussions of block ciphers, hash functions, and multicollisions, plus additional attacks on RSA to make readers aware of the strengths and shortcomings of this popular scheme. For engineers interested in learning more about cryptography.


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Most helpful customer reviews
5.0 out of 5 stars Solid foundations and useful reference Sept. 3 2002
Format:Hardcover
Knowing very little about cryptography when I started, I found this book taught me the fundamentals of cryptography with useful examples as it walked me through the material. In addition, it was a useful reference for applying this newfound knowledge to the actual practice in use today, especically on the internet. This book is a must-have for anyone needing an understanding of cryptography.
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5.0 out of 5 stars An Excellent Book on Cryptography May 15 2003
Format:Hardcover
This book is excellent at explaining very intricate and complex items in a most simple way. The book offers excellent explinations for all modern Cryptographic techniques, as well as going into number and coding theory. This is an excellent book for anyone wanting to study Cryptology.
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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com: 3.9 out of 5 stars  16 reviews
1 of 1 people found the following review helpful
5.0 out of 5 stars Great For Class Feb. 10 2013
By Michelle Jones - Published on Amazon.com
Format:Hardcover|Verified Purchase
The book presents modern cryptography in a way that anyone can understand and makes even the most difficult of subjects easy to learn. It does present in depth math analysis of various ciphers, so read it thoroughly is a must!
4.0 out of 5 stars digital cash and quantum cryptography June 22 2006
By W Boudville - Published on Amazon.com
Format:Hardcover
Trappe and Washington give us a very up to date education in cryptography, circa 2005. The discourse is for a sophisticated maths student who, however, need never have encountered cryptography before. The level of mathematical treatment is good and rigourous. With theorems stated and proved at a level that should satisfy even a picky mathematician.

The recent nature of the book is reflected in several places. Notably where it explains the Advanced Encryption Standard, or Rijndael. This is significant because it is endorsed by the US National Institute of Standards and Technology as the replacement for DES, in such contexts as electronic commerce. (DES is also covered by the book.)

Interestingly, the authors offer a short chapter on digital cash. A fascinating look at a possible future direction of a (physically) cashless society. Other texts on cryptography rarely cover the topic, so it's good to see it here. Yes, the first implementations of digital cash largely died in the dot com crash. But the idea lives on, and may yet take fruit. It has solid intellectual foundations, as shown by the book.

Then there is an even more speculative chapter on quantum cryptography. Radically different from the symmetric and public key cryptosystems described in the rest of the book. Who knows how quantum cryptography will turn out? Some very hard physical problems need to be solved.
5.0 out of 5 stars Excellent April 28 2011
By N. Mansouri - Published on Amazon.com
Format:Hardcover|Verified Purchase
This an excellant reference text-book for cryptography students and teachers, and could be by far the most comprehensive introductory level cryptography text-book. A welcome addition for every math/computer-science major's personal library.

Nema
4.0 out of 5 stars Introduction To Cryptography Reviw April 13 2009
By Fumagalli Matteo - Published on Amazon.com
Format:Hardcover
Hi. This is a very good book for university studies or also for personal use too. Easy to read and understand. There are few mathematical details (this is a negative feature) but it explains very well all arguments. The only really negative thing is the cost, a little much ...
Otherwise, i suggest you this book.
5 of 8 people found the following review helpful
5.0 out of 5 stars Couldn't Be Clearer Feb. 9 2006
By Patrick O'Sullivan - Published on Amazon.com
Format:Hardcover
I've read (or skimmed, as the case may be) some other writings on cryptography and none of them are really as clear as Trappe and Washington's book. Applied Cryptography comes somewhat close, but doesn't include enough math. Intro. to Cryptography with Coding Theory comes as close to the right balance between math and cryptography as possible. Right now, I'm taking one of Prof. Trappe's classes and I always am confident that if I feel I'm not going to remember the part of the lecture, I can easily refer to the book. The book is actually good enough to discourage me from taking notes and just pay attention instead. Not only that, but the code that's provided is offered in Maple, MATLAB, and Mathematica. Could you ask for more?
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