Tuesday 24 July 2012

Finite Fields and Applications (First Edition) Gary L. Mullen & Carl Mummert

Finite Fields and Applications


Finite Fields and Applications (First Edition)
Gary L. Mullen & Carl Mummert
2012; 175 pp; Paperback; 140 × 216 mm; 978-0-8218-8732-5
For sale only in India,Nepal,Bhutan,Bangladesh,Sri Lanka,Maldives,Pakistan
640.00
This book provides a brief and accessible introduction to the theory of finite fields and to some of their many fascinating and practical applications.
The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields.
Each of the remaining chapters details applications. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of error-correcting codes and cryptographic systems using finite fields.
Each chapter includes a set of exercises of varying levels of difficulty which help to further explain and motivate the material. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text, as well as exercises related to this material. Appendix B provides hints and partial solutions for many of the exercises in each chapter. A list of 64 references to further reading and to additional topics related to the book's material is also included.
Intended for advanced undergraduate students, it is suitable both for classroom use and for individual study.

Table of Contents


* Finite fields
* Combinatorics
* Algebraic coding theory
* Cryptography
* Background in number theory and abstract algebra
* Hints for selected exercises
* References
* Index

About the Author

Gary L. Mullen, Pennsylvania State University, University Park, PA, and Carl Mummert, University of Michigan, Ann Arbor, MI.

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