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Algebraic Function Fields and Codes Book

Algebraic Function Fields and Codes
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Algebraic Function Fields and Codes, 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 co, Algebraic Function Fields and Codes
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  • Algebraic Function Fields and Codes
  • Written by author H. Stichtenoth
  • Published by Springer-Verlag New York, LLC, 6/1/1993
  • 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 co
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Book Categories

Authors

1 Foundations of the Theory of Algebraic Function Fields 1

2 Algebraic Geometry Codes 45

3 Extensions of Algebraic Function Fields 67

4 Differentials of Algebraic Function Fields 155

5 Algebraic Function Fields over Finite Constant Fields 185

6 Examples of Algebraic Function Fields 217

7 Asymptotic Bounds for the Number of Rational Places 243

8 More about Algebraic Geometry Codes 289

9 Subfield Subcodes and Trace Codes 311

App. A Field Theory 327

App. B Algebraic Curves and Function Fields 335

List of Notations 345

References 349

Index 353


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Algebraic Function Fields and Codes, 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 co, Algebraic Function Fields and Codes

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Algebraic Function Fields and Codes, 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 co, Algebraic Function Fields and Codes

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Algebraic Function Fields and Codes, 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 co, Algebraic Function Fields and Codes

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