Finite Fields and Applications - Brossura

Mullen, Gary L.; Mummert, Carl

Brossura

ISBN 10: 0821844180 ISBN 13: 9780821844182

Casa editrice: Amer Mathematical Society, 2007

Riassunto

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 exercise related to this material. Appendix B provides hints and partial solutions for many of the exercises in each chapter. A list of 65 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.

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Product Description

Book by Gary L Mullen Carl Mummert

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2007
• ISBN 10: 0821844180
• ISBN 13: 9780821844182
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 175
• Contatto del produttore: non disponibile