A Course in Algebraic Error-Correcting Codes

Resource Information

The work A Course in Algebraic Error-Correcting Codes represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.

Label

A Course in Algebraic Error-Correcting Codes

Statement of responsibility

by Simeon Ball

Creator

• Ball, Simeon

Subject

• Coding theory
• Commutative algebra
• Commutative rings
• Information theory

Language

eng

Summary

This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.--

Member of

• Compact Textbooks in Mathematics,

Assigning source

Provided by publisher

Image bit depth

0

Literary form

non fiction

Nature of contents

dictionaries

Series statement

• Compact Textbooks in Mathematics,
• Springer eBooks.