Name: Algebraic Curves Over Finite Fields Paperback: Error-Correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics) (en Inglés)
Price: 78030.00 CLP
Availability: InStock
Author: Carlos Moreno
ISBN: 9780521459013

portada Algebraic Curves Over Finite Fields Paperback: Error-Correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Carlos Moreno

Año

1993

Idioma

Inglés

N° páginas

256

Encuadernación

Tapa Blanda

ISBN

052145901x

ISBN13

9780521459013

Categorías

Algebra

Algebraic Curves Over Finite Fields Paperback: Error-Correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics) (en Inglés)

Carlos Moreno (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Algebraic Curves Over Finite Fields Paperback: Error-Correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics) (en Inglés)"

In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Among the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri's proof of the Reimann hypothesis for function fields, with consequences for the estimation of exponential sums in one variable; Goppa's theory of error-correcting codes constructed from linear systems on algebraic curves; there is also a new proof of the TsfasmanSHVladutSHZink theorem. The prerequisites needed to follow this book are few, and it can be used for graduate courses for mathematics students. Electrical engineers who need to understand the modern developments in the theory of error-correcting codes will also benefit from studying this work.