Applied Algebra: Codes, Ciphers and Discrete Algorithms, 2nd edition
Applied Algebra: Codes, Ciphers and Discrete Algorithms, 2nd edition By Darel W. Hardy, Fred Richman, Carol L. Walker
2009 | 424 Pages | ISBN: 1420071424 | DJVU | 3 MB
2009 | 424 Pages | ISBN: 1420071424 | DJVU | 3 MB
Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra. While the content has been reworked and improved, this edition continues to cover many algorithms that arise in cryptography and error-control codes. Instead of a general study on finite groups, the book considers finite groups of permutations and develops just enough of the theory of finite fields to facilitate construction of the fields used for error-control codes and the Advanced Encryption Standard. It also deals with integers and polynomials. Explaining the mathematics as needed, this text thoroughly explores how mathematical techniques can be used to solve practical problems.