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LEADER 02804cam 2200481 a 4500

001 ocn156975411;

003 OCoLC;

005 20141212012322.0;

008 070718s2007 riua b 001 0 eng ;

010 a| 2007060797;

020 a| 9780821844182 (pbk. : alk. paper);

020 a| 0821844180 (pbk. : alk. paper);

029 1 a| AU@b| 000041964341;

029 1 a| NZ1b| 11622254;

035 a| (Sirsi) o156975411;

035 a| (OCoLC)156975411;

049 a| EREE;

050 00 a| QA247.3b| .M85 2007;

082 00 a| 512.7/42| 22;

100 1 a| Mullen, Gary L.=| ^A346837;

245 10 a| Finite fields and applications /c| Gary L. Mullen, Carl Mummert.;

300 a| ix, 175 pages :b| illustrations ;c| 22 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Student mathematical library ;v| v. 41,x| 1520-9121 ;;

504 a| Includes bibliographical references (p. 165-169) and index.;

505 0 a| Finite fields -- Combinatorics -- Algebraic coding theory -- Cryptography.;

520 a| 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.;

650 0 a| Finite fields (Algebra)=| ^A72195;

650 0 a| Coding theory.=| ^A30321;

650 0 a| Cryptography.=| ^A48560;

700 1 a| Mummert, Carl,d| 1978-=| ^A1207837;

830 0 a| Student mathematical library ;v| v. 41.=| ^A438915;

994 a| C0b| ERE;

938 a| Baker & Taylorb| BKTYc| 35.00d| 39.95i| 0821844180n| 0007501858s| active;

938 a| Baker and Taylorb| BTCPn| BK0007501858;

938 a| YBP Library Servicesb| YANKn| 2724734;

596 a| 1;

998 a| 1457058;

999 a| QA247.3 .M85 2007w| LCc| 1i| 30372014561895d| 8/22/2025e| 8/22/2025f| 8/20/2025g| 4k| CHECKEDOUTl| JGESm| JOYNERn| 6p| $28.00q| 2r| Ms| Yt| JGESBKu| 2/27/2009x| BOOKz| JSTACKSo| .STAFF. 0;

Finite fields and applications / Gary L. Mullen, Carl Mummert.

Author/creator	Mullen, Gary L.
Other author	Mummert, Carl, 1978-
Format	Book
Publication Info	Providence, R.I. : American Mathematical Society ; [University Park, Pa.] : Mathematics Advanced Study Semesters, 2007.
Description	ix, 175 pages : illustrations ; 22 cm.
Subjects	Finite fields (Algebra) Coding theory. Cryptography.

Series	Student mathematical library ; v. 41, 1520-9121 ; Student mathematical library ; v. 41. ^A438915
Contents	Finite fields -- Combinatorics -- Algebraic coding theory -- Cryptography.
Abstract	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.
Bibliography note	Includes bibliographical references (p. 165-169) and index.
LCCN	2007060797
ISBN	9780821844182 (pbk. : alk. paper)
ISBN	0821844180 (pbk. : alk. paper)

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Finite fields and applications / Gary L. Mullen, Carl Mummert.

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