Hardware Implementation Of Finite Field Arithmetic

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Hardware Implementation of Finite-Field Arithmetic

Author : Jean-Pierre Deschamps
Publisher : McGraw Hill Professional
ISBN 13 : 0071545824
Total Pages : 364 pages
Book Rating : 4.0/5 (715 download)

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Book Synopsis Hardware Implementation of Finite-Field Arithmetic by : Jean-Pierre Deschamps

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

Synthesis of Arithmetic Circuits

Author : Jean-Pierre Deschamps
Publisher : John Wiley & Sons
ISBN 13 : 0471741418
Total Pages : 578 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Synthesis of Arithmetic Circuits by : Jean-Pierre Deschamps

Download or read book Synthesis of Arithmetic Circuits written by Jean-Pierre Deschamps and published by John Wiley & Sons. This book was released on 2006-03-24 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the study of arithmetic circuits In Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems, the authors take a novel approach of presenting methods and examples for the synthesis of arithmetic circuits that better reflects the needs of today's computer system designers and engineers. Unlike other publications that limit discussion to arithmetic units for general-purpose computers, this text features a practical focus on embedded systems. Following an introductory chapter, the publication is divided into two parts. The first part, Mathematical Aspects and Algorithms, includes mathematical background, number representation, addition and subtraction, multiplication, division, other arithmetic operations, and operations in finite fields. The second part, Synthesis of Arithmetic Circuits, includes hardware platforms, general principles of synthesis, adders and subtractors, multipliers, dividers, and other arithmetic primitives. In addition, the publication distinguishes itself with: * A separate treatment of algorithms and circuits-a more useful presentation for both software and hardware implementations * Complete executable and synthesizable VHDL models available on the book's companion Web site, allowing readers to generate synthesizable descriptions * Proposed FPGA implementation examples, namely synthesizable low-level VHDL models for the Spartan II and Virtex families * Two chapters dedicated to finite field operations This publication is a must-have resource for students in computer science and embedded system designers, engineers, and researchers in the field of hardware and software computer system design and development. An Instructor Support FTP site is available from the Wiley editorial department.

Arithmetic of Finite Fields

Author : Ferruh Özbudak
Publisher : Springer
ISBN 13 : 364231662X
Total Pages : 257 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Arithmetic of Finite Fields by : Ferruh Özbudak

Download or read book Arithmetic of Finite Fields written by Ferruh Özbudak and published by Springer. This book was released on 2012-07-02 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Guide to FPGA Implementation of Arithmetic Functions

Author : Jean-Pierre Deschamps
Publisher : Springer Science & Business Media
ISBN 13 : 9400729863
Total Pages : 473 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Guide to FPGA Implementation of Arithmetic Functions by : Jean-Pierre Deschamps

Download or read book Guide to FPGA Implementation of Arithmetic Functions written by Jean-Pierre Deschamps and published by Springer Science & Business Media. This book was released on 2012-04-05 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed both for FPGA users interested in developing new, specific components - generally for reducing execution times –and IP core designers interested in extending their catalog of specific components. The main focus is circuit synthesis and the discussion shows, for example, how a given algorithm executing some complex function can be translated to a synthesizable circuit description, as well as which are the best choices the designer can make to reduce the circuit cost, latency, or power consumption. This is not a book on algorithms. It is a book that shows how to translate efficiently an algorithm to a circuit, using techniques such as parallelism, pipeline, loop unrolling, and others. Numerous examples of FPGA implementation are described throughout this book and the circuits are modeled in VHDL. Complete and synthesizable source files are available for download.

Arithmetic of Finite Fields

Author : Lilya Budaghyan
Publisher : Springer
ISBN 13 : 3030051536
Total Pages : 307 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Arithmetic of Finite Fields by : Lilya Budaghyan

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 307 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.

Cryptographic Hardware and Embedded Systems - CHES 2004

Author : Marc Joye
Publisher : Springer
ISBN 13 : 3540286322
Total Pages : 466 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Cryptographic Hardware and Embedded Systems - CHES 2004 by : Marc Joye

Download or read book Cryptographic Hardware and Embedded Systems - CHES 2004 written by Marc Joye and published by Springer. This book was released on 2004-07-08 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of CHES 2004, the 6th Workshop on Cryptographic Hardware and Embedded Systems. For the first time, the CHES Workshop was sponsored by the International Association for Cryptologic Research (IACR). This year, the number of submissions reached a new record. One hundred and twenty-five papers were submitted, of which 32 were selected for presentation. Each submitted paper was reviewed by at least 3 members of the program committee. We are very grateful to the program committee for their hard and efficient work in assembling the program. We are also grateful to the 108 external referees who helped in the review process in their area of expertise. In addition to the submitted contributions, the program included three - invited talks, by Neil Gershenfeld (Center for Bits and Atoms, MIT) about "Physical Information Security", by Isaac Chuang (Medialab, MIT) about "Quantum Cryptography", and by Paul Kocher (Cryptography Research) about "Phy- cal Attacks". It also included a rump session, chaired by Christof Paar, which featured informal talks on recent results. As in the previous years, the workshop focused on all aspects of cryptographic hardware and embedded system security. We sincerely hope that the CHES Workshop series will remain a premium forum for intellectual exchange in this area

Arithmetic of Finite Fields

Author : Claude Carlet
Publisher : Springer Science & Business Media
ISBN 13 : 3540730737
Total Pages : 364 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Arithmetic of Finite Fields by : Claude Carlet

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.

Guide to Elliptic Curve Cryptography

Author : Darrel Hankerson
Publisher : Springer Science & Business Media
ISBN 13 : 0387218467
Total Pages : 328 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Guide to Elliptic Curve Cryptography by : Darrel Hankerson

Download or read book Guide to Elliptic Curve Cryptography written by Darrel Hankerson and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic * Distills complex mathematics and algorithms for easy understanding * Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software tools This comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.

Hardware Implementation of Finite-field Arithmetic

Author : Jean-Pierre Deschamps
Publisher :
ISBN 13 : 9780071664165
Total Pages : 347 pages
Book Rating : 4.6/5 (641 download)

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Book Synopsis Hardware Implementation of Finite-field Arithmetic by : Jean-Pierre Deschamps

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:

Arithmetic of Finite Fields

Author : Jean Claude Bajard
Publisher : Springer Nature
ISBN 13 : 3030688690
Total Pages : 273 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Arithmetic of Finite Fields by : Jean Claude Bajard

Download or read book Arithmetic of Finite Fields written by Jean Claude Bajard and published by Springer Nature. This book was released on 2021-02-16 with total page 273 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 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.

Cryptographic Algorithms on Reconfigurable Hardware

Author : Francisco Rodriguez-Henriquez
Publisher : Springer Science & Business Media
ISBN 13 : 0387366822
Total Pages : 362 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Cryptographic Algorithms on Reconfigurable Hardware by : Francisco Rodriguez-Henriquez

Download or read book Cryptographic Algorithms on Reconfigurable Hardware written by Francisco Rodriguez-Henriquez and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Software-based cryptography can be used for security applications where data traffic is not too large and low encryption rate is tolerable. But hardware methods are more suitable where speed and real-time encryption are needed. Until now, there has been no book explaining how cryptographic algorithms can be implemented on reconfigurable hardware devices. This book covers computational methods, computer arithmetic algorithms, and design improvement techniques needed to implement efficient cryptographic algorithms in FPGA reconfigurable hardware platforms. The author emphasizes the practical aspects of reconfigurable hardware design, explaining the basic mathematics involved, and giving a comprehensive description of state-of-the-art implementation techniques.

Modern Computer Arithmetic

Author : Richard P. Brent
Publisher : Cambridge University Press
ISBN 13 : 9780521194693
Total Pages : 236 pages
Book Rating : 4.1/5 (946 download)

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Book Synopsis Modern Computer Arithmetic by : Richard P. Brent

Download or read book Modern Computer Arithmetic written by Richard P. Brent and published by Cambridge University Press. This book was released on 2010-11-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.

Arithmetic of Finite Fields

Author : Joachim von zur Gathen
Publisher : Springer Science & Business Media
ISBN 13 : 3540694986
Total Pages : 214 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Arithmetic of Finite Fields by : Joachim von zur Gathen

Download or read book Arithmetic of Finite Fields written by Joachim von zur Gathen and published by Springer Science & Business Media. This book was released on 2008-06-25 with total page 214 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.

Embedded Systems Design with Special Arithmetic and Number Systems

Author : Amir Sabbagh Molahosseini
Publisher : Springer
ISBN 13 : 3319497421
Total Pages : 390 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Embedded Systems Design with Special Arithmetic and Number Systems by : Amir Sabbagh Molahosseini

Download or read book Embedded Systems Design with Special Arithmetic and Number Systems written by Amir Sabbagh Molahosseini and published by Springer. This book was released on 2017-03-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to alternative approaches to designing efficient embedded systems using unconventional number systems. The authors describe various systems that can be used for designing efficient embedded and application-specific processors, such as Residue Number System, Logarithmic Number System, Redundant Binary Number System Double-Base Number System, Decimal Floating Point Number System and Continuous Valued Number System. Readers will learn the strategies and trade-offs of using unconventional number systems in application-specific processors and be able to apply and design appropriate arithmetic operations from these number systems to boost the performance of digital systems.

Arithmetic Complexity of Computations

Author : Shmuel Winograd
Publisher : SIAM
ISBN 13 : 9781611970364
Total Pages : 96 pages
Book Rating : 4.9/5 (73 download)

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Book Synopsis Arithmetic Complexity of Computations by : Shmuel Winograd

Download or read book Arithmetic Complexity of Computations written by Shmuel Winograd and published by SIAM. This book was released on 1980-01-01 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on finding the minimum number of arithmetic operations needed to perform the computation and on finding a better algorithm when improvement is possible. The author concentrates on that class of problems concerned with computing a system of bilinear forms. Results that lead to applications in the area of signal processing are emphasized, since (1) even a modest reduction in the execution time of signal processing problems could have practical significance; (2) results in this area are relatively new and are scattered in journal articles; and (3) this emphasis indicates the flavor of complexity of computation.

Finite Fields

Author : Rudolf Lidl
Publisher : Cambridge University Press
ISBN 13 : 9780521392310
Total Pages : 784 pages
Book Rating : 4.3/5 (923 download)

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Book Synopsis Finite Fields by : Rudolf Lidl

Download or read book Finite Fields written by Rudolf Lidl and published by Cambridge University Press. This book was released on 1997 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted entirely to the theory of finite fields.

Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Author : Gary L. Mullen
Publisher : Springer Science & Business Media
ISBN 13 : 3642594352
Total Pages : 345 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Finite Fields with Applications to Coding Theory, Cryptography and Related Areas by : Gary L. Mullen

Download or read book Finite Fields with Applications to Coding Theory, Cryptography and Related Areas written by Gary L. Mullen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Conference on Finite Fields and Applications, Fq6, held in the city of Oaxaca, Mexico, from May 21-25, 2001, continued a series of biennial international conferences on finite fields. This volume documents the steadily increasing interest in this topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers up-to-date original research papers by leading experts in the area.