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Author : 陳炳元
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (858 download)
Download or read book High-level Synthesis of Finite-field Arithmetic Circuits Using Abstract Algebra written by 陳炳元 and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Anwar Hasan
Publisher : Springer
ISBN 13 : 3642137970
Total Pages : 279 pages
Book Rating : 4.6/5 (421 download)
Download or read book Arithmetic of Finite Fields written by M. Anwar Hasan and published by Springer. This book was released on 2010-06-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Claude Carlet
Publisher : Springer
ISBN 13 : 3540730745
Total Pages : 364 pages
Book Rating : 4.5/5 (47 download)
Download or read book Arithmetic of Finite Fields written by Claude Carlet and published by Springer. This book was released on 2007-09-21 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.
Author : Lilya Budaghyan
Publisher : Springer
ISBN 13 : 3030051536
Total Pages : 309 pages
Book Rating : 4.0/5 (3 download)
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 309 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.
Author : Jean Claude Bajard
Publisher : Springer Nature
ISBN 13 : 3030688690
Total Pages : 273 pages
Book Rating : 4.0/5 (36 download)
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.
Author : Antonio Lloris Ruiz
Publisher : Springer
ISBN 13 : 9783642546501
Total Pages : 394 pages
Book Rating : 4.5/5 (465 download)
Download or read book Algebraic Circuits written by Antonio Lloris Ruiz and published by Springer. This book was released on 2014-05-01 with total page 394 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.
Author : Gary L. Mullen
Publisher : American Mathematical Soc.
ISBN 13 : 0821844180
Total Pages : 190 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Fields and Applications written by Gary L. Mullen and published by American Mathematical Soc.. This book was released on 2007 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite fields Combinatorics Algebraic coding theory Cryptography Background in number theory and abstract algebra Hints for selected exercises References Index.
Author : Çetin Kaya Koç
Publisher : Springer
ISBN 13 : 3319162772
Total Pages : 214 pages
Book Rating : 4.3/5 (191 download)
Download or read book Arithmetic of Finite Fields written by Çetin Kaya Koç and published by Springer. This book was released on 2015-02-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Michael D. Fried
Publisher : Springer Nature
ISBN 13 : 3031280202
Total Pages : 839 pages
Book Rating : 4.0/5 (312 download)
Download or read book Field Arithmetic written by Michael D. Fried and published by Springer Nature. This book was released on 2023-07-14 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems. The first part covers foundational material on infinite Galois theory, profinite groups, algebraic function fields in one variable and plane curves. It provides complete and elementary proofs of the Chebotarev density theorem and the Riemann hypothesis for function fields, together with material on ultraproducts, decision procedures, the elementary theory of algebraically closed fields, undecidability and nonstandard model theory, including a nonstandard proof of Hilbert's irreducibility theorem. The focus then turns to the study of pseudo algebraically closed (PAC) fields, related structures and associated decidability and undecidability results. PAC fields (fields K with the property that every absolutely irreducible variety over K has a rational point) first arose in the elementary theory of finite fields and have deep connections with number theory. This fourth edition substantially extends, updates and clarifies the previous editions of this celebrated book, and includes a new chapter on Hilbertian subfields of Galois extensions. Almost every chapter concludes with a set of exercises and bibliographical notes. An appendix presents a selection of open research problems. Drawing from a wide literature at the interface of logic and arithmetic, this detailed and self-contained text can serve both as a textbook for graduate courses and as an invaluable reference for seasoned researchers.
Author : Antonio Lloris Ruiz
Publisher : Springer Nature
ISBN 13 : 3030672662
Total Pages : 682 pages
Book Rating : 4.0/5 (36 download)
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.
Author : Jean-Pierre Deschamps
Publisher : John Wiley & Sons
ISBN 13 : 0471741418
Total Pages : 578 pages
Book Rating : 4.4/5 (717 download)
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.
Author : Jean-Pierre Deschamps
Publisher : McGraw Hill Professional
ISBN 13 : 0071545824
Total Pages : 364 pages
Book Rating : 4.0/5 (715 download)
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
Author : Dieter Jungnickel
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Fields written by Dieter Jungnickel and published by . This book was released on 1993 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yongjin Jeong
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (246 download)
Download or read book VLSI Synthesis of Finite Field Arithmetic written by Yongjin Jeong and published by . This book was released on 1991 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sylvain Duquesne
Publisher : Springer
ISBN 13 : 9783319552262
Total Pages : 277 pages
Book Rating : 4.5/5 (522 download)
Download or read book Arithmetic of Finite Fields written by Sylvain Duquesne and published by Springer. This book was released on 2017-03-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on the Arithmetic of Finite Field, WAIFI 2016, held in Ghent, Belgium, in July 2016. The 14 revised full papers and 3 invited talks presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications; irreducible polynomials; applications to cryptography; Boolean functions; cryptography; cryptography and Boolean functions.
Author : Michael Fingeroff
Publisher : Xlibris Corporation
ISBN 13 : 1450097243
Total Pages : 334 pages
Book Rating : 4.4/5 (5 download)
Download or read book High-level Synthesis written by Michael Fingeroff and published by Xlibris Corporation. This book was released on 2010 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you an RTL or system designer that is currently using, moving, or planning to move to an HLS design environment? Finally, a comprehensive guide for designing hardware using C++ is here. Michael Fingeroff's High-Level Synthesis Blue Book presents the most effective C++ synthesis coding style for achieving high quality RTL. Master a totally new design methodology for coding increasingly complex designs! This book provides a step-by-step approach to using C++ as a hardware design language, including an introduction to the basics of HLS using concepts familiar to RTL designers. Each chapter provides easy-to-understand C++ examples, along with hardware and timing diagrams where appropriate. The book progresses from simple concepts such as sequential logic design to more complicated topics such as memory architecture and hierarchical sub-system design. Later chapters bring together many of the earlier HLS design concepts through their application in simplified design examples. These examples illustrate the fundamental principles behind C++ hardware design, which will translate to much larger designs. Although this book focuses primarily on C and C++ to present the basics of C++ synthesis, all of the concepts are equally applicable to SystemC when describing the core algorithmic part of a design. On completion of this book, readers should be well on their way to becoming experts in high-level synthesis.
Author :
Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.3/5 (243 download)
Download or read book Science Abstracts written by and published by . This book was released on 1993 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
