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＜E-Book＞
Topics in Geometry, Coding Theory and Cryptography / edited by Arnaldo Garcia, Henning Stichtenoth
(Algebra and Applications. ISSN:21922950 ; 6)

Edition	1st ed. 2007.
Publisher	Dordrecht : Springer Netherlands : Imprint: Springer
Year	2007
Language	English
Size	X, 201 p : online resource
Authors	Garcia, Arnaldo editor Stichtenoth, Henning editor SpringerLink (Online service)
Subjects	LCSH:Number theory LCSH:Algebraic geometry LCSH:Coding theory LCSH:Information theory LCSH:Cryptography LCSH:Data encryption (Computer science) FREE:Number Theory FREE:Algebraic Geometry FREE:Coding and Information Theory FREE:Cryptology
Notes	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 HTTP:URL=https://doi.org/10.1007/1-4020-5334-4

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