Codes and Algebraic Curves

Name: Codes and Algebraic Curves
Price: 9.89 USD
Availability: InStock
ISBN: 9780198500391

ISBN-10: 0198500394

ISBN-13: 9780198500391

Edition: 1998

Authors: Oliver Pretzel

List price: $170.00

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The geometry of curves has fascinated mathematicians for 2500 years, and the theory has become highly abstract. Recently links have been made with the subject of error correction, leading to the creation of geometric Goppa codes, a new and important area of coding theory. This book is an updated and extended version of the last part of the successful book Error-Correcting Codes and Finite Fields. It provides an elementary introduction to Goppa codes, and includes many examples, calculations, and applications. The book is in two parts with an emphasis on motivation, and applications of the theory take precedence over proofs of theorems. The formal theory is, however, provided in the second…

Book details

List price: $170.00
Copyright year: 1998
Publisher: Oxford University Press, Incorporated
Publication date: 3/5/1998
Binding: Hardcover
Pages: 208
Size: 6.14" wide x 9.21" long x 0.63" tall
Weight: 0.968
Language: English




Codes from algebraic curves



Introduction: curves and codes



Algebraic curves



Functions on algebraic curves



A survey of the theory of algebraic curves



Geometric Goppa codes



Basic error processing



Full error processing



Fields of algebraic functions



Introduction: the algebraic approach



Function fields and places



Valuations



Divisors



RePartitions and differentials



Extensions of function fields



Curves and function fields



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