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Algebraic function fields and codes

Author: H Stichtenoth
Publisher: Berlin : Springer, ©2009.
Series: Graduate texts in mathematics, 254.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
"The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: H Stichtenoth
ISBN: 9783540768777 3540768777 9783642095566 3642095569
OCLC Number: 277069402
Notes: Previous edition: 1993.
Description: xiii, 355 pages : illustrations ; 25 cm.
Contents: Foundations of the theory of algebraic function fields --
Algebraic geometry codes --
Extensions of algebraic function fields --
Differentials of algebraic function fields --
Algebraic function fields over finite constant fields --
Examples of algebraic function fields --
Asymptotic bounds for the number of rational places --
More about algebraic geometry codes --
Subfield subcodes and trace codes --
App. A. Field theory --
App. B. Algebraic curves and function fields.
Series Title: Graduate texts in mathematics, 254.
Responsibility: Henning Stichtenoth.
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Abstract:

This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some  Read more...

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From the reviews of the second edition: "In this book we have an exposition of the theory of function fields in one variable from the algebraic point of view ... . The book is carefully written, the Read more...

 
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