Algebraic function fields and codes
著者
書誌事項
Algebraic function fields and codes
（Graduate texts in mathematics, 254）
Springer, c2009
2nd ed
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注記
First ed. published in series: Universitext. 1993
Includes bibliographical references (p. [349]-351) and index
内容説明・目次
内容説明
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.
目次
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.
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