Applied algebra : codes, ciphers, and discrete algorithms

✍ Scribed by Darel W Hardy; Carol L Walker; Fred Richman

• Publisher: CRC Press
• Year: 2009
• Tongue: English
• Series: Discrete mathematics and its applications
• Edition: 2nd ed
• Category: Library

✦ Synopsis

''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. While the content has been rework.

✦ Table of Contents

Content: 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 A. Topics in algebra and number theory.
Abstract:

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. Read more...