TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Algebraic Function Fields and Codes
T2  - Graduate Texts in Mathematics,
SN  - 9783540768784
AV  -  Libro electrónico 
U1  - 512 23
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Data structures (Computer science)
KW  - Algebra
KW  - Geometry, algebraic
KW  - Engineering mathematics
KW  - Algebraic Geometry
KW  - Data Structures, Cryptology and Information Theory
KW  - Information and Communication, Circuits
KW  - Appl.Mathematics/Computational Methods of Engineering
N1  - 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; ZDB-2-SMA
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-76878-4
ER  -