Vlsi Synthesis 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

Finite Fields: Theory and Computation

Author : Igor Shparlinski
Publisher : Springer Science & Business Media
ISBN 13 : 940159239X
Total Pages : 532 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Finite Fields: Theory and Computation by : Igor Shparlinski

Download or read book Finite Fields: Theory and Computation written by Igor Shparlinski and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.

Arithmetic and Algebraic Circuits

Author : Antonio Lloris Ruiz
Publisher : Springer Nature
ISBN 13 : 3030672662
Total Pages : 682 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Arithmetic and Algebraic Circuits by : Antonio Lloris Ruiz

Download or read book Arithmetic and Algebraic Circuits written by Antonio Lloris Ruiz and published by Springer Nature. This book was released on 2021-03-27 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete and accurate study of arithmetic and algebraic circuits. The first part offers a review of all important basic concepts: it describes simple circuits for the implementation of some basic arithmetic operations; it introduces theoretical basis for residue number systems; and describes some fundamental circuits for implementing the main modular operations that will be used in the text. Moreover, the book discusses floating-point representation of real numbers and the IEEE 754 standard. The second and core part of the book offers a deep study of arithmetic circuits and specific algorithms for their implementation. It covers the CORDIC algorithm, and optimized arithmetic circuits recently developed by the authors for adders and subtractors, as well as multipliers, dividers and special functions. It describes the implementation of basic algebraic circuits, such as LFSRs and cellular automata. Finally, it offers a complete study of Galois fields, showing some exemplary applications and discussing the advantages in comparison to other methods. This dense, self-contained text provides students, researchers and engineers, with extensive knowledge on and a deep understanding of arithmetic and algebraic circuits and their implementation.

VLSI-SoC: Design and Engineering of Electronics Systems Based on New Computing Paradigms

Author : Nicola Bombieri
Publisher : Springer
ISBN 13 : 3030234258
Total Pages : 281 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis VLSI-SoC: Design and Engineering of Electronics Systems Based on New Computing Paradigms by : Nicola Bombieri

Download or read book VLSI-SoC: Design and Engineering of Electronics Systems Based on New Computing Paradigms written by Nicola Bombieri and published by Springer. This book was released on 2019-06-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains extended and revised versions of the best papers presented at the 26th IFIP WG 10.5/IEEE International Conference on Very Large Scale Integration, VLSI-SoC 2018, held in Verona, Italy, in October 2018. The 13 full papers included in this volume were carefully reviewed and selected from the 27 papers (out of 106 submissions) presented at the conference. The papers discuss the latest academic and industrial results and developments as well as future trends in the field of System-on-Chip (SoC) design, considering the challenges of nano-scale, state-of-the-art and emerging manufacturing technologies. In particular they address cutting-edge research fields like heterogeneous, neuromorphic and brain-inspired, biologically-inspired, approximate computing systems.

Handbook of Finite Fields

Author : Gary L. Mullen
Publisher : CRC Press
ISBN 13 : 1439873828
Total Pages : 1048 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Finite Fields by : Gary L. Mullen

Download or read book Handbook of Finite Fields written by Gary L. Mullen and published by CRC Press. This book was released on 2013-06-17 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and

Algebraic Circuits

Author : Antonio Lloris Ruiz
Publisher : Springer Science & Business Media
ISBN 13 : 3642546498
Total Pages : 413 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Algebraic Circuits by : Antonio Lloris Ruiz

Download or read book Algebraic Circuits written by Antonio Lloris Ruiz and published by Springer Science & Business Media. This book was released on 2014-04-05 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete and accurate study of algebraic circuits, digital circuits whose performance can be associated with any algebraic structure. The authors distinguish between basic algebraic circuits, such as Linear Feedback Shift Registers (LFSRs) and cellular automata and algebraic circuits, such as finite fields or Galois fields. The book includes a comprehensive review of representation systems, of arithmetic circuits implementing basic and more complex operations and of the residue number systems (RNS). It presents a study of basic algebraic circuits such as LFSRs and cellular automata as well as a study of circuits related to Galois fields, including two real cryptographic applications of Galois fields.

VLSI Design and Test

Author : Brajesh Kumar Kaushik
Publisher : Springer
ISBN 13 : 9811074704
Total Pages : 820 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis VLSI Design and Test by : Brajesh Kumar Kaushik

Download or read book VLSI Design and Test written by Brajesh Kumar Kaushik and published by Springer. This book was released on 2017-12-21 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Symposium on VLSI Design and Test, VDAT 2017, held in Roorkee, India, in June/July 2017. The 48 full papers presented together with 27 short papers were carefully reviewed and selected from 246 submissions. The papers were organized in topical sections named: digital design; analog/mixed signal; VLSI testing; devices and technology; VLSI architectures; emerging technologies and memory; system design; low power design and test; RF circuits; architecture and CAD; and design verification.

Guide to FPGA Implementation of Arithmetic Functions

Author : Jean-Pierre Deschamps
Publisher : Springer Science & Business Media
ISBN 13 : 9400729871
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 2012-04-02 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.

Design and Testing of Reversible Logic

Author : Ashutosh Kumar Singh
Publisher : Springer
ISBN 13 : 9811388210
Total Pages : 268 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Design and Testing of Reversible Logic by : Ashutosh Kumar Singh

Download or read book Design and Testing of Reversible Logic written by Ashutosh Kumar Singh and published by Springer. This book was released on 2019-07-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book compiles efficient design and test methodologies for the implementation of reversible logic circuits. The methodologies covered in the book are design approaches, test approaches, fault tolerance in reversible circuits and physical implementation techniques. The book also covers the challenges and the reversible logic circuits to meet these challenges stimulated during each stage of work cycle. The novel computing paradigms are being explored to serve as a basis for fast and low power computation.

VLSI Design and Test

Author : Ambika Prasad Shah
Publisher : Springer Nature
ISBN 13 : 3031215141
Total Pages : 607 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis VLSI Design and Test by : Ambika Prasad Shah

Download or read book VLSI Design and Test written by Ambika Prasad Shah and published by Springer Nature. This book was released on 2022-12-16 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 26th International Symposium on VLSI Design and Test, VDAT 2022, which took place in Jammu, India, in July 2022. The 32 regular papers and 16 short papers presented in this volume were carefully reviewed and selected from 220 submissions. They were organized in topical sections as follows: Devices and Technology; Sensors; Analog/Mixed Signal; Digital Design; Emerging Technologies and Memory; System Design.

The VLSI Handbook

Author : Wai-Kai Chen
Publisher : CRC Press
ISBN 13 : 1420005960
Total Pages : 2320 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The VLSI Handbook by : Wai-Kai Chen

Download or read book The VLSI Handbook written by Wai-Kai Chen and published by CRC Press. This book was released on 2018-10-03 with total page 2320 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the new millenium, Wai-Kai Chen introduced a monumental reference for the design, analysis, and prediction of VLSI circuits: The VLSI Handbook. Still a valuable tool for dealing with the most dynamic field in engineering, this second edition includes 13 sections comprising nearly 100 chapters focused on the key concepts, models, and equations. Written by a stellar international panel of expert contributors, this handbook is a reliable, comprehensive resource for real answers to practical problems. It emphasizes fundamental theory underlying professional applications and also reflects key areas of industrial and research focus. WHAT'S IN THE SECOND EDITION? Sections on... Low-power electronics and design VLSI signal processing Chapters on... CMOS fabrication Content-addressable memory Compound semiconductor RF circuits High-speed circuit design principles SiGe HBT technology Bipolar junction transistor amplifiers Performance modeling and analysis using SystemC Design languages, expanded from two chapters to twelve Testing of digital systems Structured for convenient navigation and loaded with practical solutions, The VLSI Handbook, Second Edition remains the first choice for answers to the problems and challenges faced daily in engineering practice.

IAETSD-D70-ICAER-2016--26-06-2016-3

Author :
Publisher : INTERNATIONAL ASSOCIATION OF ENGINEERING & TECHNOLOGY FOR SKILL DEVELOPMENT
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4./5 ( download)

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Book Synopsis IAETSD-D70-ICAER-2016--26-06-2016-3 by :

Download or read book IAETSD-D70-ICAER-2016--26-06-2016-3 written by and published by INTERNATIONAL ASSOCIATION OF ENGINEERING & TECHNOLOGY FOR SKILL DEVELOPMENT. This book was released on with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: iaetsd

Communications Coding and Signal Processing

Author : Bahram Honary
Publisher : Taylor & Francis Group
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Communications Coding and Signal Processing by : Bahram Honary

Download or read book Communications Coding and Signal Processing written by Bahram Honary and published by Taylor & Francis Group. This book was released on 1997 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses various aspects of communications coding and signal processing. Attention in the book is given to techniques for decoding. Other sections consider theoretical problems in error control coding, including the prediction of code properties and the problems of sequence design.

VLSI Architectures for Modern Error-Correcting Codes

Author : Xinmiao Zhang
Publisher : CRC Press
ISBN 13 : 148222965X
Total Pages : 410 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis VLSI Architectures for Modern Error-Correcting Codes by : Xinmiao Zhang

Download or read book VLSI Architectures for Modern Error-Correcting Codes written by Xinmiao Zhang and published by CRC Press. This book was released on 2017-12-19 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Error-correcting codes are ubiquitous. They are adopted in almost every modern digital communication and storage system, such as wireless communications, optical communications, Flash memories, computer hard drives, sensor networks, and deep-space probing. New-generation and emerging applications demand codes with better error-correcting capability. On the other hand, the design and implementation of those high-gain error-correcting codes pose many challenges. They usually involve complex mathematical computations, and mapping them directly to hardware often leads to very high complexity. VLSI Architectures for Modern Error-Correcting Codes serves as a bridge connecting advancements in coding theory to practical hardware implementations. Instead of focusing on circuit-level design techniques, the book highlights integrated algorithmic and architectural transformations that lead to great improvements on throughput, silicon area requirement, and/or power consumption in the hardware implementation. The goal of this book is to provide a comprehensive and systematic review of available techniques and architectures, so that they can be easily followed by system and hardware designers to develop en/decoder implementations that meet error-correcting performance and cost requirements. This book can be also used as a reference for graduate-level courses on VLSI design and error-correcting coding. Particular emphases are placed on hard- and soft-decision Reed-Solomon (RS) and Bose-Chaudhuri-Hocquenghem (BCH) codes, and binary and non-binary low-density parity-check (LDPC) codes. These codes are among the best candidates for modern and emerging applications due to their good error-correcting performance and lower implementation complexity compared to other codes. To help explain the computations and en/decoder architectures, many examples and case studies are included. More importantly, discussions are provided on the advantages and drawbacks of different implementation approaches and architectures.

Practical Design Verification

Author : Dhiraj K. Pradhan
Publisher : Cambridge University Press
ISBN 13 : 0521859727
Total Pages : 289 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Practical Design Verification by : Dhiraj K. Pradhan

Download or read book Practical Design Verification written by Dhiraj K. Pradhan and published by Cambridge University Press. This book was released on 2009-06-11 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improve design efficiency & reduce costs with this guide to formal & simulation-based functional verification. Presenting a theoretical & practical understanding of the key issues involved, it explains both formal techniques (model checking, equivalence checking) & simulation-based techniques (coverage metrics, test generation).

Field-Coupled Nanocomputing

Author : Neal G. Anderson
Publisher : Springer
ISBN 13 : 3662437228
Total Pages : 395 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Field-Coupled Nanocomputing by : Neal G. Anderson

Download or read book Field-Coupled Nanocomputing written by Neal G. Anderson and published by Springer. This book was released on 2014-05-31 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Field-coupled nanocomputing (FCN) paradigms offer fundamentally new approaches to digital information processing that do not utilize transistors or require charge transport. Information transfer and computation are achieved in FCN via local field interactions between nanoscale building blocks that are organized in patterned arrays. Several FCN paradigms are currently under active investigation, including quantum-dot cellular automata (QCA), molecular quantum cellular automata (MQCA), nanomagnetic logic (NML), and atomic quantum cellular automata (AQCA). Each of these paradigms has a number of unique features that make it attractive as a candidate for post-CMOS nanocomputing, and each faces critical challenges to realization. This State-of-the-Art-Survey provides a snapshot of the current developments and novel research directions in the area of FCN. The book is divided into five sections. The first part, Field-Coupled Nanocomputing Paradigms, provides valuable background information and perspectives on the QDCA, MQCA, NML, and AQCA paradigms and their evolution. The second section, Circuits and Architectures, addresses a wide variety of current research on FCN clocking strategies, logic synthesis, circuit design and test, logic-in-memory, hardware security, and architecture. The third section, Modeling and Simulation, considers the theoretical modeling and computer simulation of large FCN circuits, as well as the use of simulations for gleaning physical insight into elementary FCN building blocks. The fourth section, Irreversibility and Dissipation, considers the dissipative consequences of irreversible information loss in FCN circuits, their quantification, and their connection to circuit structure. The fifth section, The Road Ahead: Opportunities and Challenges, includes an edited transcript of the panel discussion that concluded the FCN 13 workshop.

Applications of Finite Fields

Author : Dieter Gollmann
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applications of Finite Fields by : Dieter Gollmann

Download or read book Applications of Finite Fields written by Dieter Gollmann and published by Oxford University Press, USA. This book was released on 1996 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses practical and theoretical work on the applications of finite fields, particularly coding theory and crytography. It addresses issues related to the construction of polynomials and of bases of finite fields with specific properties. It will be of value to graduate and postgraduate pure and applied mathematicians, computer scientists and engineers.