Logo - springer
Slogan - springer

Mathematics - Number Theory and Discrete Mathematics | Elementary Number Theory, Cryptography and Codes

Elementary Number Theory, Cryptography and Codes

Series: Universitext

Baldoni, M. Welleda, Ciliberto, Ciro, Piacentini Cattaneo, G.M.

Translated by Gewurz, D.

Translated from the Italian by Daniele A. Gewurz

2009

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$49.95

(net) price for USA

ISBN 978-3-540-69200-3

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$69.95

(net) price for USA

ISBN 978-3-540-69199-0

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Nice, elementary introduction to number theory on two of its real-world applications

In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter.

Though the book contains advanced material, such as cryptography on elliptic curves, Goppa codes using algebraic curves over finite fields, and the recent AKS polynomial primality test, the authors' objective has been to keep the exposition as self-contained and elementary as possible. Therefore the book will be useful to students and researchers, both in theoretical (e.g. mathematicians) and in applied sciences (e.g. physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. The book will also be useful for teachers who intend to give courses on these topics.

Content Level » Research

Keywords » Crib - DES - Number theory - coding theory - complexity - cryptography - finite field

Related subjects » Algebra - Geometry & Topology - Number Theory and Discrete Mathematics - Security and Cryptology

Table of contents / Preface / Sample pages 

Distribution rights 

Distribution rights for India: CBS Publishers, New Delhi, India

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Number Theory.

Additional information