This book connects coding theory with actual applications in consumer electronics and with other areas of mathematics. Different Aspects of Coding Theory covers in detail the mathematical foundations of digital data storage and makes connections to symbolic dynamics, linear systems, and finite automata. It also explores the use of algebraic geometry within coding theory and examines links with finite geometry, statistics, and theoretical computer science. Features: A unique combination of mathematical theory and engineering practice. Much diversity and variety among chapters, thus offering broad appeal. Topics relevant to mathematicians, statisticians, engineers, and computer scientists. Contributions by recognized scholars.This paper provides an introduction to algebraic coding theory and to the design of codes for Gaussian channels. It covers basic ... Coding theory is an important example of discrete applied mathematics. ... For example, every time a consumer buys a compact disk a contribution of several cents is made to Philips and Sony.
|Title||:||Different Aspects of Coding Theory|
|Publisher||:||American Mathematical Soc. - 1995|