Applied Algebra: Codes, Ciphers, and Discrete Algorithms

Emphasizing the fact that solid mathematics leads to solid applications, this book builds a mathematical foundation that includes topics in number theory and the theory of infinite fields. It includes time-locked versions of Scientific Notebook and MuPAD that will help professionals quickly get up to speed. Chapter topics cover 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, and polynomial algorithms and fast fourier transforms. For data security officers.