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Finite fields and applications
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Finite fields and applications

著者: Gary L Mullen; Carl Mummert
出版商: Providence, R.I. : American Mathematical Society ; [University Park, Pa.] : Mathematics Advanced Study Semesters, 2007.
丛书: Student mathematical library, v. 41.
版本/格式:   图书 : 英语查看所有的版本和格式
提要:
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  再读一些...
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材料类型: 互联网资源
文件类型: 书, 互联网资源
所有的著者/提供者: Gary L Mullen; Carl Mummert
ISBN: 9780821844182 0821844180
OCLC号码: 156975411
描述: ix, 175 p. : ill. ; 22 cm.
内容: Finite fields --
Combinatorics --
Algebraic coding theory --
Cryptography.
丛书名: Student mathematical library, v. 41.
责任: Gary L. Mullen, Carl Mummert.

摘要:

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.

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