LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512
Title	Algebraic Function Fields and Codes (EB) / by Henning Stichtenoth.
Author	Stichtenoth, Henning
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2009.
Physical Details	XIII, 355 pages, 14 illus. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 254
ISBN	9783540768784
Summary Note	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 the theory of function fields. This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basic material. Other exercises are more advanced and cover additional material which could not be included in the text. This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography, coding theory and electrical engineering.:
Contents note	1. Foundations of the Theory of Algebraic Function Fiels -- 2. Algebraic Geometry Codes -- 3. Extensions of Algebraic Function Fields -- 4. Differentials of Algebraic Function Fields -- 5. Algebraic Function Fields over Finite Constant Fields -- 6. Examples of Algebraic Function Fields -- 7. Asymptotic Bounds for the Number of Rational Places -- 8. More about Algebraic Geometry Codes -- 9. Subfield Subcodes and Trace Codes -- Appendix A. Field Theory -- Appendix B. Algebraic Curves and Algebraic Function Fields -- Bibliography -- List of Notations -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-540-76878-4
Links to Related Works	Subject References: Algebra . Algebraic Geometry . Appl.Mathematics/Computational Methods of Engineering . Data structures (Computer science) . Data Structures, Cryptology and Information Theory . Engineering mathematics . Geometry, Algebraic . Information and communication, circuits . Mathematics . Authors: Stichtenoth, Henning . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 512 .

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Algebraic Function Fields and Codes

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