Topics In Finite Fields
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Applications Of Finite Fields
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Author : Alfred J. Menezes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Applications Of Finite Fields written by Alfred J. Menezes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent years we have witnessed a resurgence of interest in finite fields, and this is partly due to important applications in coding theory and cryptography. The purpose of this book is to introduce the reader to some of these recent developments. It should be of interest to a wide range of students, researchers and practitioners in the disciplines of computer science, engineering and mathematics. We shall focus our attention on some specific recent developments in the theory and applications of finite fields. While the topics selected are treated in some depth, we have not attempted to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in constructing good error-correcting codes. To limit the size of the volume we have been forced to omit some important applications of finite fields. Some of these missing applications are briefly mentioned in the Appendix along with some key references.
Planar Functions And Related Topics In Finite Fields
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Author : R. S. Coulter
language : en
Publisher:
Release Date : 1998
Planar Functions And Related Topics In Finite Fields written by R. S. Coulter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Finite fields (Algebra) categories.
Topics In Finite Fields
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Author : Gohar Kyureghyan
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-01-29
Topics In Finite Fields written by Gohar Kyureghyan 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 2015-01-29 with Mathematics categories.
This volume contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11), held July 22-26, 2013, in Magdeburg, Germany. Finite Fields are fundamental structures in mathematics. They lead to interesting deep problems in number theory, play a major role in combinatorics and finite geometry, and have a vast amount of applications in computer science. Papers in this volume cover these aspects of finite fields as well as applications in coding theory and cryptography.
Lectures On Finite Fields
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Author : Xiang-dong Hou
language : en
Publisher:
Release Date : 2018
Lectures On Finite Fields written by Xiang-dong Hou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Finite fields (Algebra) categories.
The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite fields and related areas. The topics include basic facts about finite fields, polynomials over finite fields, Gauss sums, algebraic number theory and cyclotomic fields, zeros of polynomials over finite fields, and classical groups over finite fields. The book is mostly self-contained, and the material covered is accessible to readers with the knowledge.
Finite Fields And Their Applications
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Author : Pascale Charpin
language : en
Publisher: ISSN
Release Date : 2013
Finite Fields And Their Applications written by Pascale Charpin and has been published by ISSN this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronics categories.
This book contains nine survey papers on topics in finite fields and their applications, in particular on character sums and polynomials. The articles are based on the invited talks ofa RICAM-Workshop held at the St. Wolfgang Federal Institute for A
Topics In Finite Fields
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Author : Robert G. Van Meter
language : en
Publisher:
Release Date : 1970
Topics In Finite Fields written by Robert G. Van Meter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Finite Fields And Their Applications
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Author : James A. Davis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-10-26
Finite Fields And Their Applications written by James A. Davis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-26 with Mathematics categories.
The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions. Computation: algorithms and complexity, polynomial factorization, decomposition and irreducibility testing, sequences and functions. Applications: algebraic coding theory, cryptography, algebraic geometry over finite fields, finite incidence geometry, designs, combinatorics, quantum information science.
Bulletin Of The American Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1994
Bulletin Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Theory And Applications Of Finite Fields
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Author : Michel Lavrauw
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Theory And Applications Of Finite Fields written by Michel Lavrauw 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 2012 with Mathematics categories.
This volume contains the proceedings of the 10th International Congress on Finite Fields and their Applications (Fq 10), held July 11-15, 2011, in Ghent, Belgium. Research on finite fields and their practical applications continues to flourish. This volume's topics, which include finite geometry, finite semifields, bent functions, polynomial theory, designs, and function fields, show the variety of research in this area and prove the tremendous importance of finite field theory.
Combinatorics
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Author : Peter Jephson Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1994-10-06
Combinatorics written by Peter Jephson Cameron 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 1994-10-06 with Mathematics categories.
Combinatorics is a subject of increasing importance because of its links with computer science, statistics, and algebra. This textbook stresses common techniques (such as generating functions and recursive construction) that underlie the great variety of subject matter, and the fact that a constructive or algorithmic proof is more valuable than an existence proof. The author emphasizes techniques as well as topics and includes many algorithms described in simple terms. The text should provide essential background for students in all parts of discrete mathematics.