عنوان

Finite fields and applications /

(Number (ISBN

0821844180

(Number (ISBN

9780821844182

Number

b416332

Title Proper

Finite fields and applications /

General Material Designation

[Book]

First Statement of Responsibility

Gary L. Mullen, Carl Mummert

Specific Material Designation and Extent of Item

ix, 175 pages :

Other Physical Details

illustrations ;

Dimensions

22 cm

Series Title

Student mathematical library,

ISSN of Series

v. 41

Text of Note

Includes bibliographical references (pages 165-169) and index

Text of Note

Finite fields -- Combinatorics -- Algebraic coding theory -- Cryptography

0

Text of Note

Introduction to the theory of finite fields and to some of their many 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. 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. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text. Appendix B provides hints and partial solutions for many of the exercises in each chapter.--From publisher description

Coding theory

Cryptography

Finite fields (Algebra)

Number

Edition

Class number

Book number

Mullen, Gary L

Mummert, Carl,1978-

Date of Transaction

20090309010206.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y