Hardware Implementation Of Finite Field Arithmetic

Author : Jean-Pierre Deschamps
Publisher : McGraw Hill Professional
Page : 364 pages
File Size : 42,8 Mb
Release : 2009-01-14
Category : Technology & Engineering
ISBN : 9780071545822

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Hardware Implementation of Finite-Field Arithmetic by Jean-Pierre Deschamps Pdf

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,José Luis Imaña,Gustavo D. Sutter
Publisher : Unknown
Page : 347 pages
File Size : 48,7 Mb
Release : 2009
Category : Application-specific integrated circuits
ISBN : 0071664165

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Hardware Implementation of Finite-field Arithmetic by Jean-Pierre Deschamps,José Luis Imaña,Gustavo D. Sutter Pdf

Author : Lilya Budaghyan,Francisco Rodríguez-Henríquez
Publisher : Springer
Page : 309 pages
File Size : 48,9 Mb
Release : 2018-12-29
Category : Computers
ISBN : 9783030051532

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Arithmetic of Finite Fields by Lilya Budaghyan,Francisco Rodríguez-Henríquez Pdf

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
Page : 364 pages
File Size : 43,9 Mb
Release : 2007-06-11
Category : Computers
ISBN : 9783540730736

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Arithmetic of Finite Fields by Claude Carlet Pdf

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,José Luis Imana,Cetin Kaya Koc
Publisher : Springer
Page : 205 pages
File Size : 50,6 Mb
Release : 2008-07-08
Category : Computers
ISBN : 9783540694991

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Arithmetic of Finite Fields by Joachim von zur Gathen,José Luis Imana,Cetin Kaya Koc Pdf

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,Ian F. Blake,XuHong Gao,Ronald C. Mullin,Scott A. Vanstone,Tomik Yaghoobian
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 52,5 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9781475722260

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Applications of Finite Fields by Alfred J. Menezes,Ian F. Blake,XuHong Gao,Ronald C. Mullin,Scott A. Vanstone,Tomik Yaghoobian Pdf

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,Sihem Mesnager,Erkay Savaş
Publisher : Springer
Page : 213 pages
File Size : 51,9 Mb
Release : 2015-02-21
Category : Computers
ISBN : 9783319162775

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Arithmetic of Finite Fields by Çetin Kaya Koç,Sihem Mesnager,Erkay Savaş Pdf

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,Tor Helleseth
Publisher : Springer
Page : 280 pages
File Size : 47,5 Mb
Release : 2010-06-26
Category : Computers
ISBN : 9783642137976

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Arithmetic of Finite Fields by M. Anwar Hasan,Tor Helleseth Pdf

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 : Ferruh Özbudak,Francisco Rodriguez-Henriquez
Publisher : Springer
Page : 257 pages
File Size : 54,5 Mb
Release : 2012-07-02
Category : Computers
ISBN : 9783642316623

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Arithmetic of Finite Fields by Ferruh Özbudak,Francisco Rodriguez-Henriquez Pdf

This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.

Author : Sihem Mesnager,Zhengchun Zhou
Publisher : Springer Nature
Page : 353 pages
File Size : 52,9 Mb
Release : 2023-01-10
Category : Computers
ISBN : 9783031229442

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Arithmetic of Finite Fields by Sihem Mesnager,Zhengchun Zhou Pdf

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.

Author : Claude Carlet,Berk Sunar
Publisher : Springer
Page : 364 pages
File Size : 42,5 Mb
Release : 2007-09-21
Category : Computers
ISBN : 9783540730743

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Arithmetic of Finite Fields by Claude Carlet,Berk Sunar Pdf

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 : Tarek Sobh,Khaled Elleithy,Ausif Mahmood
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 44,6 Mb
Release : 2010-01-30
Category : Technology & Engineering
ISBN : 9789048136629

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Novel Algorithms and Techniques in Telecommunications and Networking by Tarek Sobh,Khaled Elleithy,Ausif Mahmood Pdf

Novel Algorithms and Techniques in Telecommunications and Networking includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Industrial Electronics, Technology and Automation, Telecommunications and Networking. Novel Algorithms and Techniques in Telecommunications and Networking includes selected papers form the conference proceedings of the International Conference on Telecommunications and Networking (TeNe 08) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2008).

Author : Burton S. Jr. Kaliski,Cetin K. Koc,Christof Paar
Publisher : Springer
Page : 618 pages
File Size : 45,6 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540364009

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Cryptographic Hardware and Embedded Systems - CHES 2002 by Burton S. Jr. Kaliski,Cetin K. Koc,Christof Paar Pdf

ThesearetheproceedingsofCHES2002,theFourthWorkshoponCryptographic Hardware and Embedded Systems. After the ?rst two CHES Workshops held in Massachusetts, and the third held in Europe, this is the ?rst Workshop on the West Coast of the United States. There was a record number of submissions this year and in response the technical program was extended to 3 days. As is evident by the papers in these proceedings, there have been again many excellent submissions. Selecting the papers for this year’s CHES was not an easy task, and we regret that we could not accept many contributions due to the limited availability of time. There were 101 submissions this year, of which 39 were selected for presentation. We continue to observe a steady increase over previous years: 42 submissions at CHES ’99, 51 at CHES 2000, and 66 at CHES 2001. We interpret this as a continuing need for a workshop series that c- bines theory and practice for integrating strong security features into modern communicationsandcomputerapplications. Inadditiontothesubmittedcont- butions, Jean-Jacques Quisquater (UCL, Belgium), Sanjay Sarma (MIT, USA) and a panel of experts on hardware random number generation gave invited talks. As in the previous years, the focus of the Workshop is on all aspects of cr- tographic hardware and embedded system security. Of special interest were c- tributionsthatdescribenewmethodsfore?cienthardwareimplementationsand high-speed software for embedded systems, e. g. , smart cards, microprocessors, DSPs, etc. CHES also continues to be an important forum for new theoretical and practical ?ndings in the important and growing ?eld of side-channel attacks.

Author : Jean Claude Bajard,Alev Topuzoğlu
Publisher : Springer Nature
Page : 273 pages
File Size : 43,5 Mb
Release : 2021-02-16
Category : Computers
ISBN : 9783030688691

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Arithmetic of Finite Fields by Jean Claude Bajard,Alev Topuzoğlu Pdf

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2020, held in Rennes, France in July 2020. Due to the COVID-19, the workshop was held online. The 12 revised full papers and 3 invited talks presented were carefully reviewed and selected from 22 submissions. The papers are organized in topical sections on invited talks, Finite Field Arithmetic, Coding Theory, Network Security and much more.

Author : Nadia Nedjah,Luiza de Macedo Mourelle
Publisher : Nova Publishers
Page : 310 pages
File Size : 43,5 Mb
Release : 2004
Category : Computers
ISBN : 1594540128

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Embedded Cryptographic Hardware by Nadia Nedjah,Luiza de Macedo Mourelle Pdf

Modern cryptology, which is the basis of information security techniques, started in the late 70's and developed in the 80's. As communication networks were spreading deep into society, the need for secure communication greatly promoted cryptographic research. The need for fast but secure cryptographic systems is growing bigger. Therefore, dedicated systems for cryptography are becoming a key issue for designers. With the spread of reconfigurable hardware such as FPGAs, hardware implementations of cryptographic algorithms become cost-effective. The focus of this book is on all aspects of embedded cryptographic hardware. Of special interest are contributions that describe new secure and fast hardware implementations and new efficient algorithms, methodologies and protocols for secure communications. This book is organised in two parts. The first part is dedicated to embedded hardware of cryptosystems while the second part focuses on new algorithms for cryptography, design methodologies and secure protocols.