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portada Algebraic Curves Over Finite Fields Paperback: Error-Correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
1993
Language
English
Pages
256
Format
Paperback
ISBN
052145901x
ISBN13
9780521459013
Categories

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

Carlos Moreno (Author) · Cambridge University Press · Paperback

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

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

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.

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