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

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.

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.

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

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.

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:

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.

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.

Download or read book Embedded Cryptographic Hardware written by Nadia Nedjah and published by Nova Publishers. This book was released on 2004 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Cryptographic Hardware and Embedded Systems CHES 2002 written by Burton S. Jr. Kaliski and published by Springer. This book was released on 2003-08-02 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

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.

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.

Download or read book Novel Algorithms and Techniques in Telecommunications and Networking written by Tarek Sobh and published by Springer Science & Business Media. This book was released on 2010-01-30 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

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.

Download or read book Cryptographic Hardware and Embedded Systems CHES 2008 written by Elisabeth Oswald and published by Springer Science & Business Media. This book was released on 2008-07-18 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: by Andrey Bogdanov, Thomas Eisenbarth, Andy Rupp and Christopher Wolf. The purpose of the award is to formally acknowledge excellence in research. We would like to c- gratulate the authors of these two papers.

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.