Finite fields and applications

By:

Mullen, Gary L

Material type: Text

TextSeries: Student mathematical Library vol. 41Publication details: 2007 American Mathematical Society Rhode Island, USADescription: ix, 175 pISBN:

9780821887325

Subject(s):

DDC classification:

512.74 M8F4

Summary: 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. (http://www.ams.org/bookstore-getitem/item=stml-41)

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad	512.74 M8F4 (Browse shelf(Opens below))	Available		175989

Total holds: 0

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. (http://www.ams.org/bookstore-getitem/item=stml-41)

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