{"product_id":"finite-fields-and-applications-9780821887325","title":"Finite Fields and Applications","description":"\u003cp\u003e • Author(s): Gary L Mullen, Carl Mummert\u003cbr\u003e • Publisher: Orient Blackswan Pvt Ltd\u003cbr\u003e • Publisher Imprint: Orient Blackswan Pvt Ltd\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book provides a brief and accessible introduction to the theory of\u003cstrong\u003e finite fields\u003c\/strong\u003e and to some of their many fascinating and practical \u003cstrong\u003eapplications.\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003eEach 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.\u003c\/p\u003e \u003cp\u003eEach 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 exercises related to this material. Appendix B provides hints and partial solutions for many of the exercises in each chapter. A list of 64 references to further reading and to additional topics related to the book's material is also included.\u003c\/p\u003e \u003cp\u003eIntended for advanced undergraduate students, it is suitable both for classroom use and for individual study.\u003c\/p\u003e","brand":"Orient Blackswan Pvt Ltd","offers":[{"title":"Paperback","offer_id":45616514957463,"sku":"9780821887325","price":896.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780821887325.webp?v=1769294998","url":"https:\/\/atlanticbooks.com\/products\/finite-fields-and-applications-9780821887325","provider":"Atlantic Books","version":"1.0","type":"link"}