Arcs And Curves Over A Finite Field And Their Points
DOWNLOAD
Download Arcs And Curves Over A Finite Field And Their Points PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Arcs And Curves Over A Finite Field And Their Points book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Arcs And Curves Over A Finite Field And Their Points
DOWNLOAD
Author : Maria Estela Jiménez Contreras
language : en
Publisher:
Release Date : 2003
Arcs And Curves Over A Finite Field And Their Points written by Maria Estela Jiménez Contreras and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Projective Geometries Over Finite Fields
DOWNLOAD
Author : James William Peter Hirschfeld
language : en
Publisher: Oxford University Press, USA
Release Date : 1979
Projective Geometries Over Finite Fields written by James William Peter Hirschfeld and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with History categories.
Algebraic Curves Over A Finite Field
DOWNLOAD
Author : J. W. P. Hirschfeld
language : en
Publisher: Princeton University Press
Release Date : 2013-03-25
Algebraic Curves Over A Finite Field written by J. W. P. Hirschfeld and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-25 with Mathematics categories.
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.
Algebraic Curves Over A Finite Field
DOWNLOAD
Author : J. W. P. Hirschfeld
language : en
Publisher: Princeton University Press
Release Date : 2008-03-23
Algebraic Curves Over A Finite Field written by J. W. P. Hirschfeld and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-23 with Mathematics categories.
This title provides a self-contained introduction to the theory of algebraic curves over a finite field, whose origins can be traced back to the works of Gauss and Galois on algebraic equations in two variables with coefficients modulo a prime number.
Rational Points On Curves Over Finite Fields
DOWNLOAD
Author : Harald Niederreiter
language : en
Publisher:
Release Date : 2013-11-09
Rational Points On Curves Over Finite Fields written by Harald Niederreiter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with categories.
Discussion of theory and applications of algebraic curves over finite fields with many rational points.
Advances In Algebraic Geometry Codes
DOWNLOAD
Author : Edgar Martinez-moro
language : en
Publisher: World Scientific
Release Date : 2008-10-08
Advances In Algebraic Geometry Codes written by Edgar Martinez-moro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-08 with Mathematics categories.
Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due to either interferences in the telecommunications or degradation of the information-storing support (for instance, compact disc). An error-correcting code thus adds extra information to the message to be transmitted with the aim of recovering the sent information. With contributions from renowned researchers, this pioneering book will be of value to mathematicians, computer scientists, and engineers in information theory.
Surveys In Combinatorics 1997
DOWNLOAD
Author : Rosemary Bailey
language : en
Publisher: Cambridge University Press
Release Date : 1997
Surveys In Combinatorics 1997 written by Rosemary Bailey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Analyse combinatoire categories.
The invited lectures given at the 16th. British Combinatorial Conference, July 1997 at Queen Mary and Westfield College.
Finite Fields And Applications
DOWNLOAD
Author : Gary L. Mullen
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Finite Fields And Applications written by Gary L. Mullen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.
This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorialdesign theory.
Applications Of Curves Over Finite Fields
DOWNLOAD
Author : Michael D. Fried
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Applications Of Curves Over Finite Fields written by Michael D. Fried and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This volume presents the results of the AMS-IMS-SIAM Joint Summer Research Conference held at the University of Washington (Seattle). The talks were devoted to various aspects of the theory of algebraic curves over finite fields and its numerous applications. The three basic themes are the following: 1. Curves with many rational points. Several articles describe main approaches to the construction of such curves: the Drinfeld modules and fiber product methods, the moduli space approach, and the constructions using classical curves. 2. Monodromy groups of characteristic $p$ covers. A number of authors presented the results and conjectures related to the study of the monodromy groups of curves over finite fields. In particular, they study the monodromy groups from genus 0 covers, reductions of covers, and explicit computation of monodromy groups over finite fields. 3. Zeta functions and trace formulas. To a large extent, papers devoted to this topic reflect the contributions of Professor Bernard Dwork and his students. This conference was the last attended by Professor Dwork before his death, and several papers inspired by his presence include commentaries about the applications of trace formulas and L-function. The volume also contains a detailed introduction paper by Professor Michael Fried, which helps the reader to navigate the material presented in the book.
Surveys In Combinatorics 2021
DOWNLOAD
Author : Konrad K. Dabrowski
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-24
Surveys In Combinatorics 2021 written by Konrad K. Dabrowski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-24 with Mathematics categories.
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.