Algebraic Curves Over Finite Fields by Carlos Moreno
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Algebraic Curves Over Finite Fields
By Carlos Moreno

Algebraic Curves Over Finite Fields

Error-correcting Codes and Exponential Sums

By (author) See other recent books by Carlos Moreno
Series edited by B. Bollobas See other recent books by B. Bollobas See other recent books by W. Fulton
Format: Paperback

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Algebraic Curves Over Finite Fields by Carlos Moreno

Book Description

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. Amongst 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 Tsfasman-Vladut-Zink 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.

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Book Details

ISBN: 9780521459013
ISBN-10: 052145901X
Format: Paperback
(228mm x 152mm x 15mm)
Pages: 260
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 14-Oct-1993
Country of Publication: United Kingdom

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