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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

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

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

Algebraic Function Fields and Codes Graduate Texts in ~ 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

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 coding theory cryptography sphere packings and others

Algebraic function fields and codes Henning Stichtenoth ~ 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

Algebraic Function Fields and Codes Henning Stichtenoth ~ Algebraic function fields provide the most elementary approach to Goppas ideas and the second objective of this book is to provide an introduction to Goppas algebraicgeometric codes along these lines The codes their parameters and links with traditional codes such as classical Goppa

Algebraic Function Fields and Codes Henning Stichtenoth ~ 15 years after the rst printing of Algebraic Function Fields and Codesthe mathematics editors of Springer Verlag encouraged me to revise and extend the book Besides numerous minor corrections and amendments the second edition diers from the rst one in two respects Firstly I have included a series of exercises at the end of each chapter

Review of the book Algebraic Function Fields and Codes ~ Algebraic geometry is a major branch of mathematics and the theory of curves over nite elds is a subtopic with important applications in cryptography and coding theory In particular elliptic and hyperelliptic curves are a building block for many public key cryptosystems and algebraic geometry codes have applications both in coding theory and cryptography

Algebraic function field Wikipedia ~ The algebraic function fields over k form a category the morphisms from function field K to L are the ring homomorphisms f K→L with faa for all a∈k All these morphisms are injective If K is a function field over k of n variables and L is a function field in m variables and nm then there are no morphisms from K to L