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Auteur : Henning Stichtenoth
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

Algebraic Function Fields and Codes This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult. Full description

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Algebraic Function Fields and Codes / SpringerLink ~ 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 .

Algebraic Function Fields and Codes / Henning Stichtenoth ~ 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 .

Algebraic function fields and codes (Book, 1993) [WorldCat ~ 3. Geometric Goppa Codes Associated with the Rational Function Field --Ch. III. Extensions of Algebraic Function Fields --III. 1. Algebraic Extensions of Function Fields --III. 2. Subrings of Function Fields --III. 3. Local Integral Bases --III. 4. The Cotrace of Weil Differentials and the Hurwitz Genus Formula --III. 5. The Different --III. 6.

Algebraic function fields and codes (Book, 1993) [WorldCat ~ Algebraic Function Fields over Finite Constant Fields.- 6. Examples of Algebraic Function Fields.- 7. More about Geometric Goppy Codes.- 8. Subfield Subcodes and Trace Codes.- Appendix A. Field Theory.- Appendix B. Algebraic Curves and Algebraic Function Fields.- Bibliography.- List of Notations.- Index

Algebraic function fields and codes (Book, 2009) [WorldCat ~ Get this from a library! Algebraic function fields and codes. [H Stichtenoth] -- "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 .

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Review of the book Algebraic Function Fields and Codes ~ "Algebraic Function Fields and Codes (2nd Edition)" by Henning Stichtenoth Springer, 2008 ISBN: 978-3-540-76877-7 Steven Galbraith Department of Mathematics, The University of Auckland, New Zealand June 17, 2010 1 Summary of the review Algebraic geometry is a major branch of mathematics and the theory of curves over nite elds is a sub-topic with important applications in cryptography and .

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Algebraic Function Fields and Codes / Mathematical ~ An algebraic function field in one variable, over a given field K, is an extension of K of transcendence degree one. These field extensions are naturally associated to algebraic curves over the given field and as such have been studied in algebraic geometry since the 19 th century. On the other hand, when the ground field K is a finite field, the arithmetic of a function field in one variable .

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Algebraic function field - Wikipedia ~ Function fields over the field of rational numbers play also an important role in solving inverse Galois problems. Field of constants. Given any algebraic function field K over k, we can consider the set of elements of K which are algebraic over k. These elements form a field, known as the field of constants of the algebraic function field.

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