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. Along with doubling the number of exercises, this edition includes a new appendix that reviews prerequisite top

Darel W. Hardy (Author) , Fred Richman (Author) , Carol L. Walker (Author)

Preface. Integers and Computer Algebra. Codes. Euclidean Algorithm. Ciphers. Error-Control Codes. Chinese Remainder Theorem. Theorems of Fermat and Euler. Public Key Ciphers. Finite Fields. Error-Correcting Codes. Advanced Encryption Standard. Polynomial Algorithms and Fast Fourier Transforms. Appendix. Solutions to Odd Problems. Bibliography. Notation. Algorithms. Figures. Tables. Index.