Algebraic Curves over Finite Fields:Error-correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics)
Carlos Moreno
Book Description
Release Date:14 Oct 1993 | Series:Cambridge Tracts in Mathematics (Book 97)
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 mode developments in the theory of error-correcting codes will also benefit from studying this work.
Product details
Paperback: 260 pages
Publisher: Cambridge University Press; New Ed edition (14 Oct 1993)
Language: English
ISBN-10: 052145901X
ISBN-13: 9780521459013
1111
未经允许不得转载：Wow! eBook » Algebraic Curves over Finite Fields:Error-correcting Codes and Exponential Sums
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 mode developments in the theory of error-correcting codes will also benefit from studying this work.
1111
Product details
Paperback: 260 pages
Publisher: Cambridge University Press; New Ed edition (14 Oct 1993)
Language: English
ISBN-10: 052145901X
ISBN-13: 9780521459013
未经允许不得转载：Wow! eBook » Algebraic Curves over Finite Fields:Error-correcting Codes and Exponential Sums