代数函数域和代码（第2版） Algebraic Function Fields and Codes

基本信息

Format Paperback | 360 pages

Dimensions 155 x 235 x 19.81mm | 575g

Publication date 18 Nov 2010

Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Edition Revised

Edition Statement Softcover reprint of hardcover 2nd ed. 2008

ISBN10 3642095569

ISBN13 9783642095566

页面参数仅供参考，具体以实物为准

书籍简介

本书连接了两个学科：代数几何和编码理论。它采用了一种基于代数函数场理论的新方法。内容包括黎曼-洛克定理、Zeta函数和Hasse-Weil定理以及Goppa的代数-几何编码和其他传统编码。本书对代数几何和编码理论的研究人员以及信息传输方面的计算机科学家和工程师都很有用。

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.

目录

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.

作者简介

Henning Stichtenoth，研究方向为代数函数场、代数曲线、有限场、编码理论。

Henning Stichtenoth，Sabanci University - FENS, Research Interests in algebraic function fields, algebraic curves, finite fields, coding theory