Codes

An Introduction to Information Communication and Cryptography

Norman L. Biggs

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English

Springer Verlag
03 November 2008

Coding theory & cryptology; Mathematics & Sciences

Series: Springer Undergraduate Mathematics Series

Many people do not realise that mathematics provides the foundation for the devices we use to handle information in the modern world. Most of those who do know probably think that the parts of mathematics involvedare quite ‘cl- sical’, such as Fourier analysis and di?erential equations. In fact, a great deal of the mathematical background is part of what used to be called ‘pure’ ma- ematics, indicating that it was created in order to deal with problems that originated within mathematics itself. It has taken many years for mathema- cians to come to terms with this situation, and some of them are still not entirely happy about it. Thisbookisanintegratedintroductionto Coding.

Bythis Imeanreplacing symbolic information, such as a sequence of bits or a message written in a naturallanguage,byanother messageusing (possibly) di?erentsymbols.

There are three main reasons for doing this: Economy (data compression), Reliability (correction of errors), and Security (cryptography). I have tried to cover each of these three areas in su?cient depth so that the reader can grasp the basic problems and go on to more advanced study. The mathematical theory is introduced in a way that enables the basic problems to bestatedcarefully,butwithoutunnecessaryabstraction.

Theprerequisites(sets andfunctions,matrices,?niteprobability)shouldbefamiliartoanyonewhohas taken a standard course in mathematical methods or discrete mathematics. A course in elementary abstract algebra and/or number theory would be helpful, but the book contains the essential facts, and readers without this background should be able to understand what is going on. vi Thereareafewplaceswherereferenceismadetocomputeralgebrasystems.

By: Norman L. Biggs
Imprint: Springer Verlag
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 178mm, Spine: 15mm
Weight: 487g
ISBN: 9781848002722
ISBN 10: 1848002726
Series: Springer Undergraduate Mathematics Series
Pages: 284
Publication Date: 03 November 2008
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Reviews for Codes: An Introduction to Information Communication and Cryptography

From the reviews: <p> This undergraduate textbook is a pleasure to read. a ] The author has a sense of humor, and he is not afraid to use it. The examples are very well chosen. a ] This very enjoyable book deserves many readers. (MiklA3s BA3na, The Mathematical Association of America, September, 2008)