Handbook of Finite Fields

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Release : 2013-06-17
Genre : Computers
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Book Rating : 828/5 ( reviews)

Handbook of Finite Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Finite Fields write by Gary L. Mullen. This book was released on 2013-06-17. Handbook of Finite Fields available in PDF, EPUB and Kindle. 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 than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and

Handbook of Finite Fields

Download Handbook of Finite Fields PDF Online Free

Author :
Release : 2024-10-14
Genre : Computers
Kind :
Book Rating : 320/5 ( reviews)

Handbook of Finite Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Finite Fields write by Gary L Mullen. This book was released on 2024-10-14. Handbook of Finite Fields available in PDF, EPUB and Kindle. Poised to become the leading reference in the field, this definitive handbook is exclusively devoted to the theory and applications of finite fields. Edited by two renowned researchers and with more than 80 international contributors compiling state-of-the-art research, the book uses a uniform style and format throughout and each chapter is self

Finite Fields

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Release : 2012-12-06
Genre : Computers
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Book Rating : 694/5 ( reviews)

Finite Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Fields write by Dirk Hachenberger. This book was released on 2012-12-06. Finite Fields available in PDF, EPUB and Kindle. Finite Fields are fundamental structures of Discrete Mathematics. They serve as basic data structures in pure disciplines like Finite Geometries and Combinatorics, and also have aroused much interest in applied disciplines like Coding Theory and Cryptography. A look at the topics of the proceed ings volume of the Third International Conference on Finite Fields and Their Applications (Glasgow, 1995) (see [18]), or at the list of references in I. E. Shparlinski's book [47] (a recent extensive survey on the Theory of Finite Fields with particular emphasis on computational aspects), shows that the area of Finite Fields goes through a tremendous development. The central topic of the present text is the famous Normal Basis Theo rem, a classical result from field theory, stating that in every finite dimen sional Galois extension E over F there exists an element w whose conjugates under the Galois group of E over F form an F-basis of E (i. e. , a normal basis of E over F; w is called free in E over F). For finite fields, the Nor mal Basis Theorem has first been proved by K. Hensel [19] in 1888. Since normal bases in finite fields in the last two decades have been proved to be very useful for doing arithmetic computations, at present, the algorithmic and explicit construction of (particular) such bases has become one of the major research topics in Finite Field Theory.

Lectures on Finite Fields

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Release : 2018-06-07
Genre : Mathematics
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Book Rating : 892/5 ( reviews)

Lectures on Finite Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Finite Fields write by Xiang-dong Hou. This book was released on 2018-06-07. Lectures on Finite Fields available in PDF, EPUB and Kindle. 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 of graduate algebra; the only exception is a section on function fields. Each chapter is supplied with a set of exercises. The book can be adopted as a text for a second year graduate course or used as a reference by researchers.

Finite Fields

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Release : 1997
Genre : Mathematics
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Book Rating : 310/5 ( reviews)

Finite Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Fields write by Rudolf Lidl. This book was released on 1997. Finite Fields available in PDF, EPUB and Kindle. This book is devoted entirely to the theory of finite fields.