Coding Theory and Cryptography: The Essentials / Edition 2

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Overview

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offering revised and updated material on the Berlekamp-Massey decoding algorithm and convolutional codes. Introducing the mathematics as it is needed and providing exercises with solutions, this edition includes an extensive section on cryptography, designed for an introductory course on the subject.
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Editorial Reviews

Mathematical Reviews
Praise for the first edition... The panel of authors has attempted to write a text from which students can actually be taught, and the effort is largely successful.
Mathematika
...There is a welcome emphasis on construction, with many worked examples and excercises.
Zentralblatt fur Mathematik und ihre Grenzgebiete
...provides an excellent introduction to the subject at a level that allows all of the important concepts to be developed.
Acta Science and Mathematics
...highly recommend[ed]...for students in computer science and engineering.
Romanian Journal of Pure and Applied Mathematics
...a very good and useful textbook.
Mathematical Abstracts
"...an attractive textbook that will be an excellent choice for a course that covers both coding theory and cryptography."
Booknews
Seven mathematicians from Auburn University in Alabama present a textbook for a two-quarter course for students with only a basic background in mathematics. To explain coding theory, and the construction, encoding, and decoding of specific code families, they employ the two principles of describing the mathematics and the application in the same place, and avoiding mathematical generalizations and terminology that would be used in a class of advanced mathematics majors. The first edition, published in 1991, was titled , and was written by a completely different team, Hoffman, Leonard, et al. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
1 Introduction to Coding Theory 1
2 Linear Codes 27
3 Perfect and Related Codes 65
4 Cyclic Linear Codes 91
5 BCH Codes 111
6 Reed-Solomon Codes 127
7 Burst Error-Correcting Codes 159
8 Convolutional Codes 173
9 Reed-Muller and Preparata Codes 205
10 Classical Cryptography 227
11 Topics in Algebra and Number Theory 253
12 Public-key Cryptography 279
A The Euclidean Algorithm 307
B Factorization of 1+x[superscript n] 311
C Example of Compact Disc Encoding 313
D: Solutions to Selected Exercises 317
Bibliography 335
Index 343
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