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Topics in geometry, coding theory and cryptography

Author: Arnaldo Garcia; H Stichtenoth
Publisher: Dordrecht : Springer, 2007.
Series: Algebras and applications, v. 6.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa's discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results  Read more...
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Genre/Form: Aufsatzsammlung
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Arnaldo Garcia; H Stichtenoth
ISBN: 9781402053337 1402053339
OCLC Number: 77482137
Description: x, 200 pages : illustrations ; 25 cm.
Contents: Explicit towers of function fields over finite fields / by A. Garcia and H. Stichtenoth --
Function fields over finite fields and their applications to cryptography / by H. Niederreiter, H. Wang, and C. Xing --
Artin-Schreier extensions and their applications / by C. Güneri and F. Özbudak --
Pseudorandom sequences / by A. Topuzoğlu and A. Winterhof --
Group structure of elliptic curves over finite fields and applications / by R. Murty and I. Shparlinski.
Series Title: Algebras and applications, v. 6.
Responsibility: edited by Arnaldo Garcia and Henning Stichtenoth.
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Abstract:

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa's discovery of algebraic geometry codes around 1980, many applications of function  Read more...

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From the reviews: "This book contains five surveys on different topic related to coding theory. The chapters are largely independent from each other and one can browse freely through them. ... The Read more...

 
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