|
| Título : |
Algebraic Function Fields and Codes |
| Tipo de documento: |
documento electrónico |
| Autores: |
Henning Stichtenoth ; SpringerLink (Online service) |
| Editorial: |
Berlin, Heidelberg : Springer Berlin Heidelberg |
| Fecha de publicación: |
2009 |
| Colección: |
Graduate Texts in Mathematics, ISSN 0072-5285 num. 254 |
| Número de páginas: |
XIV, 360 p |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-3-540-76878-4 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics Data structures (Computer science) Algebra Algebraic geometry Information theory Applied mathematics Engineering Geometry Structures, Cryptology and Theory Communication, Circuits Appl.Mathematics/Computational Methods of |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/978-3-540-76878-4 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34025 |
Algebraic Function Fields and Codes [documento electrónico] / Henning Stichtenoth ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XIV, 360 p : online resource. - ( Graduate Texts in Mathematics, ISSN 0072-5285; 254) . ISBN : 978-3-540-76878-4 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics Data structures (Computer science) Algebra Algebraic geometry Information theory Applied mathematics Engineering Geometry Structures, Cryptology and Theory Communication, Circuits Appl.Mathematics/Computational Methods of |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/978-3-540-76878-4 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34025 |
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Refinar búsquedaTopics in Geometry, Coding Theory and Cryptography / SpringerLink (Online service) ; Arnaldo Garcia ; Henning Stichtenoth (2007)
