Hardware Implementation Of Finite Field Arithmetic

Author : Jean-Pierre Deschamps
Publisher : McGraw Hill Professional
ISBN 13 : 0071545824
Total Pages : 364 pages
Book Rating : 4.22/5 ( download)

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Download or read book Hardware Implementation of Finite-Field Arithmetic written by Jean-Pierre Deschamps and published by McGraw Hill Professional. This book was released on 2009-01-14 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Implement Finite-Field Arithmetic in Specific Hardware (FPGA and ASIC) Master cutting-edge electronic circuit synthesis and design with help from this detailed guide. Hardware Implementation of Finite-Field Arithmetic describes algorithms and circuits for executing finite-field operations, including addition, subtraction, multiplication, squaring, exponentiation, and division. This comprehensive resource begins with an overview of mathematics, covering algebra, number theory, finite fields, and cryptography. The book then presents algorithms which can be executed and verified with actual input data. Logic schemes and VHDL models are described in such a way that the corresponding circuits can be easily simulated and synthesized. The book concludes with a real-world example of a finite-field application--elliptic-curve cryptography. This is an essential guide for hardware engineers involved in the development of embedded systems. Get detailed coverage of: Modulo m reduction Modulo m addition, subtraction, multiplication, and exponentiation Operations over GF(p) and GF(pm) Operations over the commutative ring Zp[x]/f(x) Operations over the binary field GF(2m) using normal, polynomial, dual, and triangular

Author : Jean-Pierre Deschamps
Publisher :
ISBN 13 : 9780071664165
Total Pages : 347 pages
Book Rating : 4.65/5 ( download)

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Download or read book Hardware Implementation of Finite-field Arithmetic written by Jean-Pierre Deschamps and published by . This book was released on 2009 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lilya Budaghyan
Publisher : Springer
ISBN 13 : 3030051536
Total Pages : 309 pages
Book Rating : 4.32/5 ( download)

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Download or read book Arithmetic of Finite Fields written by Lilya Budaghyan and published by Springer. This book was released on 2018-12-29 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 7th International Workshop on the Arithmetic of Finite Field, WAIFI 2018, held in Bergen, Norway, in June 2018. The 14 revised full papers and six invited talks presented were carefully reviewed and selected from 26 submissions. The papers are organized in topical sections on invited talks; elliptic curves; hardware implementations; arithmetic and applications of finite fields and cryptography.

Author : Claude Carlet
Publisher : Springer Science & Business Media
ISBN 13 : 3540730737
Total Pages : 364 pages
Book Rating : 4.36/5 ( download)

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Download or read book Arithmetic of Finite Fields written by Claude Carlet and published by Springer Science & Business Media. This book was released on 2007-06-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Workshop on the Arithmetic of Finite Fields, WAIFI 2007, held in Madrid, Spain in June 2007. It covers structures in finite fields, efficient implementation and architectures, efficient finite field arithmetic, classification and construction of mappings over finite fields, curve algebra, cryptography, codes, and discrete structures.

Author : Joachim von zur Gathen
Publisher : Springer
ISBN 13 : 3540694994
Total Pages : 205 pages
Book Rating : 4.91/5 ( download)

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Download or read book Arithmetic of Finite Fields written by Joachim von zur Gathen and published by Springer. This book was released on 2008-07-08 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Workshop on the Arithmetic of Finite Fields, WAIFI 2008, held in Siena, Italy, in July 2008. The 16 revised full papers presented were carefully reviewed and selected from 34 submissions. The papers are organized in topical sections on structures in finite fields, efficient finite field arithmetic, efficient implementation and architectures, classification and construction of mappings over finite fields, and codes and cryptography.

Author : Alfred J. Menezes
Publisher : Springer Science & Business Media
ISBN 13 : 1475722265
Total Pages : 229 pages
Book Rating : 4.60/5 ( download)

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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.

Author : Çetin Kaya Koç
Publisher : Springer
ISBN 13 : 3319162772
Total Pages : 213 pages
Book Rating : 4.75/5 ( download)

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Download or read book Arithmetic of Finite Fields written by Çetin Kaya Koç and published by Springer. This book was released on 2015-02-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.

Author : M. Anwar Hasan
Publisher : Springer
ISBN 13 : 3642137970
Total Pages : 280 pages
Book Rating : 4.76/5 ( download)

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Download or read book Arithmetic of Finite Fields written by M. Anwar Hasan and published by Springer. This book was released on 2010-06-26 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on the Arithmetic of Finite Fields, WAIFI 2010, held in Istanbul, Turkey, in June 2010. The 15 revised full papers presented were carefully reviewed and selected from 33 submissions. The papers are organized in topical sections on efficient finite field arithmetic, pseudo-random numbers and sequences, Boolean functions, functions, Equations and modular multiplication, finite field arithmetic for pairing based cryptography, and finite field, cryptography and coding.

Author : Claude Carlet
Publisher : Springer
ISBN 13 : 3540730745
Total Pages : 364 pages
Book Rating : 4.43/5 ( download)

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Download or read book Arithmetic of Finite Fields written by Claude Carlet and published by Springer. This book was released on 2007-09-21 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Workshop on the Arithmetic of Finite Fields, WAIFI 2007, held in Madrid, Spain in June 2007. It covers structures in finite fields, efficient implementation and architectures, efficient finite field arithmetic, classification and construction of mappings over finite fields, curve algebra, cryptography, codes, and discrete structures.

Author : Sihem Mesnager
Publisher : Springer Nature
ISBN 13 : 3031229444
Total Pages : 353 pages
Book Rating : 4.42/5 ( download)

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Download or read book Arithmetic of Finite Fields written by Sihem Mesnager and published by Springer Nature. This book was released on 2023-01-10 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.