Applications of Finite Fields

Applications of Finite Fields
Author :
Publisher : Springer Science & Business Media
Total Pages : 229
Release :
ISBN-10 : 9781475722260
ISBN-13 : 1475722265
Rating : 4/5 (60 Downloads)

Book Synopsis Applications of Finite Fields by : Alfred J. Menezes

Download or read book Applications of Finite Fields written by Alfred J. Menezes and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Applications of Finite Fields Related Books

Applications of Finite Fields
Language: en
Pages: 229
Authors: Alfred J. Menezes
Categories: Technology & Engineering
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 y
Finite Fields and Applications
Language: en
Pages: 190
Authors: Gary L. Mullen
Categories: Computers
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Finite fields Combinatorics Algebraic coding theory Cryptography Background in number theory and abstract algebra Hints for selected exercises References Index.
Finite Fields
Language: en
Pages: 784
Authors: Rudolf Lidl
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book is devoted entirely to the theory of finite fields.
Handbook of Finite Fields
Language: en
Pages: 1048
Authors: Gary L. Mullen
Categories: Computers
Type: BOOK - Published: 2013-06-17 - Publisher: CRC Press

DOWNLOAD EBOOK

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More
Combinatorics and Finite Fields
Language: en
Pages: 459
Authors: Kai-Uwe Schmidt
Categories: Mathematics
Type: BOOK - Published: 2019-07-08 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, a