Algebraic Function Fields and Codes

Algebraic Function Fields and Codes
Author: Henning Stichtenoth
Publisher: Springer Science & Business Media
Total Pages: 360
Release: 2009-02-11
Genre: Mathematics
ISBN: 3540768785

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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.


Algebraic Function Fields and Codes
Language: en
Pages: 360
Authors: Henning Stichtenoth
Categories: Mathematics
Type: BOOK - Published: 2009-02-11 - Publisher: Springer Science & Business Media

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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes
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Pages: 658
Authors: Gabriel Daniel Villa Salvador
Categories: Mathematics
Type: BOOK - Published: 2007-10-10 - Publisher: Springer Science & Business Media

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The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text ado
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Pages: 355
Authors: Michael Rosen
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite fie
Algebraic Geometry in Coding Theory and Cryptography
Language: en
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Authors: Harald Niederreiter
Categories: Mathematics
Type: BOOK - Published: 2009-09-21 - Publisher: Princeton University Press

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This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, a
Algebraic Numbers and Algebraic Functions
Language: en
Pages: 208
Authors: P.M. Cohn
Categories: Mathematics
Type: BOOK - Published: 1991-09-01 - Publisher: CRC Press

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This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Arti