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

1st ed. 2007.
出版者 (Dordrecht : Springer Netherlands : Imprint: Springer)
出版年 2007
本文言語 英語
大きさ X, 201 p : online resource
著者標目 Garcia, Arnaldo editor
Stichtenoth, Henning editor
SpringerLink (Online service)
件 名 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
一般注記 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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分 類 LCC:QA241-247.5
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書誌ID 4000120245
ISBN 9781402053344

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