Applied Algebra Using mathematical tools from number theory and finite fields, this text presents practical methods for solving problems in data security and data integrity. It covers many algorithms that arise in cryptography and error-control codes.
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This book attempts to show the power of algebra in a relatively simple setting.
―Mathematical Reviews, 2010
... The book supports learning by doing. In each section we can find many examples which clarify the mathematics introduced in the section and each section is followed by a series of exercises of which approximately half are solved in the end of the book. Additional the book comes with a CD-ROM containing an interactive version of the book powered by the computer algebra system Scientific Notebook. ... the mathematics in the book are developed as needed and the focus of the book lies clearly on learning by examples and exercises. ... the book gives good insight on how algebra can be used in coding and cryptography ... The strength of the book is clearly the number of examples ...
―IACR book reviews, January 2010
Revised and updated, this new edition expands algebraic coverage with an additional chapter on groups and details about rings in the finite fields. The comprehensive text includes cryptography, number theory, and two completely new chapters on error correcting codes. It presents various types of algorithms with their complexities. A thorough explanation of the Rijndael Algorithm helps students understand the recently adopted data encryption standard. Unlike other texts, the authors discuss how mathematical techniques can be used to solve practical problems. CRC codes, clearer proof presentation, and twice the number of exercises are added through an interactive CD.
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