ENGLISH

Topics in Geometry, Coding Theory and Cryptography

By Arnaldo Garcia , Henning Stichtenoth (auth.) , Henning Stichtenoth (eds.)

Book information

Publisher
Springer Netherlands
Year
2007
ISBN
9781402053337, 1-4020-5333-9
DOI
10.1007/1-4020-5334-4
Open Library ID
OL8372175M
Language
english
Format
PDF
Filesize
3 MB (3620902 bytes)
Series
Algebra and Applications 6
Edition
1
Pages
201\210
Library
mexmat
Time added
2009-07-20 03:45:11
Number Theory; Algebraic Geometry; Coding and Info

Description

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 than those of classical approaches. This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use.

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