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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.
- Sales Rank: #410831 in Books
- Brand: Trappe, Wade/ Washington, Lawrence C.
- Published on: 2005-07-25
- Original language: English
- Number of items: 1
- Dimensions: 9.40" h x 1.40" w x 7.20" l, 2.16 pounds
- Binding: Hardcover
- 592 pages
From the Back Cover
This book assumes a minimal background in programming and a level of math sophistication equivalent to a course in linear algebra. It provides a flexible organization, as each chapter is modular and can be covered in any order. Using Mathematica, Maple, and MATLAB, computer examples included in an Appendix explain how to do computation and demonstrate important concepts. A full chapter on error correcting codes introduces the basic elements of coding theory. Other topics covered: Classical cryptosystems, basic number theory, the data encryption standard, AES: Rijndael, the RSA algorithm, discrete logarithms, digital signatures, e-commerce and digital cash, secret sharing schemes, games, zero knowledge techniques, key establishment protocols, information theory, elliptic curves, error correcting codes, quantum cryptography. For professionals in cryptography and network security.
Excerpt. � Reprinted by permission. All rights reserved.
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.
Programs available in each of the three languages can be downloaded from the Web site
prenhall/washington
In a classroom, all that is needed is a computer (with one of the languages installed) and a projector in order to produce meaningful examples as the lecture is being given. 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.
Excerpt. � Reprinted by permission. All rights reserved.
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.
Programs available in each of the three languages can be downloaded from the Web site
www.prenhall.com/washington
In a classroom, all that is needed is a computer (with one of the languages installed) and a projector in order to produce meaningful examples as the lecture is being given. 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.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Four Stars
By Chess
okay a little vague about DES RES
2 of 4 people found the following review helpful.
This is a book where you should start ...
By G. Mutlu
I was a newbie of cryptography area and I searched a lot of books before buying this. I found that most of them just explained topics which you can easyly find on the Internet.
However I was looking for something which I could learn the mathematical backgound of cryptography without being a mathematician. This book explains everthing very simple. This book not only gives the explanation of RSA but it also explains required number theory for it and if you know a programming language you can code the algorithms and see what's happening.
This is the book where you should start studying cryptography and after reading this, you can go further. BTW, I also recommend "A Friendly Introduction to Number Theory". With these two books I have my own cryptography library.
0 of 0 people found the following review helpful.
Introduction To Cryptography Reviw
By Fumagalli Matteo
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.
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