Hardware Implementation of Finite-Field Arithmetic

Hardware Implementation of Finite-Field Arithmetic PDF Author: Jean-Pierre Deschamps
Publisher: McGraw Hill Professional
ISBN: 0071545824
Category : Technology & Engineering
Languages : en
Pages : 364

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Book Description
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

Hardware Implementation of Finite-Field Arithmetic

Hardware Implementation of Finite-Field Arithmetic PDF Author: Jean-Pierre Deschamps
Publisher: McGraw Hill Professional
ISBN: 0071545824
Category : Technology & Engineering
Languages : en
Pages : 364

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Book Description
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

Hardware Implementation of Finite-field Arithmetic

Hardware Implementation of Finite-field Arithmetic PDF Author: Jean-Pierre Deschamps
Publisher:
ISBN: 9780071664165
Category : Application-specific integrated circuits
Languages : en
Pages : 347

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Book Description


Guide to FPGA Implementation of Arithmetic Functions

Guide to FPGA Implementation of Arithmetic Functions PDF Author: Jean-Pierre Deschamps
Publisher: Springer Science & Business Media
ISBN: 9400729863
Category : Technology & Engineering
Languages : en
Pages : 473

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Book Description
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.

Synthesis of Arithmetic Circuits

Synthesis of Arithmetic Circuits PDF Author: Jean-Pierre Deschamps
Publisher: John Wiley & Sons
ISBN: 0471741418
Category : Technology & Engineering
Languages : en
Pages : 578

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Book Description
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.

Cryptographic Hardware and Embedded Systems - CHES 2004

Cryptographic Hardware and Embedded Systems - CHES 2004 PDF Author: Marc Joye
Publisher: Springer
ISBN: 3540286322
Category : Computers
Languages : en
Pages : 466

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Book Description
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

Cryptographic Hardware and Embedded Systems - CHES 2002

Cryptographic Hardware and Embedded Systems - CHES 2002 PDF Author: Burton S. Jr. Kaliski
Publisher: Springer
ISBN: 3540364005
Category : Computers
Languages : en
Pages : 625

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Book Description
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.

Cryptographic Algorithms on Reconfigurable Hardware

Cryptographic Algorithms on Reconfigurable Hardware PDF Author: Francisco Rodriguez-Henriquez
Publisher: Springer Science & Business Media
ISBN: 0387366822
Category : Technology & Engineering
Languages : en
Pages : 362

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Book Description
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.

Embedded Cryptographic Hardware

Embedded Cryptographic Hardware PDF Author: Nadia Nedjah
Publisher: Nova Publishers
ISBN: 9781594540127
Category : Computers
Languages : en
Pages : 310

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Book Description
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.

Novel Algorithms and Techniques in Telecommunications and Networking

Novel Algorithms and Techniques in Telecommunications and Networking PDF Author: Tarek Sobh
Publisher: Springer Science & Business Media
ISBN: 9048136628
Category : Technology & Engineering
Languages : en
Pages : 502

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Book Description
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).

Cryptographic Hardware and Embedded Systems

Cryptographic Hardware and Embedded Systems PDF Author: Cetin K. Koc
Publisher: Springer
ISBN: 3540480595
Category : Computers
Languages : en
Pages : 364

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Book Description
This book constitutes the refereed proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems, CHES'99, held in Worcester, MA, USA in August 1999. The 27 revised papers presented together with three invited contributions were carefully reviewed and selected from 42 submissions. The papers are organized in sections on cryptographic hardware, hardware architectures, smartcards and embedded systems, arithmetic algorithms, power attacks, true random numbers, cryptographic algorithms on FPGAs, elliptic curve implementations, new cryptographic schemes and modes of operation.