## Pless, Vera

# Introduction to the Theory of Error-Correcting Codes

A complete introduction to the many mathematical tools used to solve practical problems in coding.

Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems.

Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features:

* A greater emphasis on nonlinear binary codes

* An exciting new discussion on the relationship between codes and combinatorial games

* Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes

* Expanded and updated problem sets.

Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering.

Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems.

Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features:

* A greater emphasis on nonlinear binary codes

* An exciting new discussion on the relationship between codes and combinatorial games

* Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes

* Expanded and updated problem sets.

Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering.

**Keywords:** practical; tools; introduction; mathematical; many; problems; errorcorrecting; publication; years; fifty; theory; shannons; papers; codes; mathematicians; classic; proliferation; communications systems; employ; audio; devices, Discrete Mathematics, Discrete Mathematics

- Author(s)
- Pless, Vera
- Publisher
- John Wiley and Sons, Inc.
- Publication year
- 1998
- Language
- en
- Edition
- 3
- Series
- Wiley Series in Discrete Mathematics and Optimization
- Page amount
- 224 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9781118030998
- Printed ISBN
- 9780471190479