Topics in Geometry, Coding Theory and Cryptography

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, sphe...

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Xehetasun bibliografikoak
Egile nagusia: Garcia, Arnaldo (Argitaratzailea)
Beste egile batzuk: Stichtenoth, Henning, 1944- (Argitaratzailea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Saila:Algebra and Applications 6
Gaiak:
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: L'impression du document génère 210 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Topics in geometry, coding theory and cryptography, edited by Arnaldo Garcia and Henning Stichtenoth, 2007, Dordrecht, Springer, 1 vol. (X-200 p.), Algebra and applications, 978-1-4020-5333-7
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245 1 0 |a Topics in Geometry, Coding Theory and Cryptography   |c edited by Arnaldo Garcia,... and Henning Stichtenoth,... 
260 |a Dordrecht :  |b Springer Netherlands. 
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520 |a 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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700 1 |a Garcia, Arnaldo.  |4 edt 
700 1 |a Stichtenoth, Henning,  |d 1944-  |4 edt 
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