Arithmetic Of Finite Fields PDF Download
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Author | : Rudolf Lidl |
Publisher | : Cambridge University Press |
Total Pages | : 784 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780521392310 |
Download Finite Fields Book in PDF, ePub and Kindle
This book is devoted entirely to the theory of finite fields.
Author | : Jean-Pierre Deschamps |
Publisher | : McGraw Hill Professional |
Total Pages | : 364 |
Release | : 2009-01-14 |
Genre | : Technology & Engineering |
ISBN | : 0071545824 |
Download Hardware Implementation of Finite-Field Arithmetic Book in PDF, ePub and Kindle
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 | : M. Anwar Hasan |
Publisher | : Springer Science & Business Media |
Total Pages | : 279 |
Release | : 2010-06-17 |
Genre | : Computers |
ISBN | : 3642137962 |
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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 |
Total Pages | : 364 |
Release | : 2007-09-21 |
Genre | : Computers |
ISBN | : 3540730745 |
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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 | : Jean Claude Bajard |
Publisher | : Springer Nature |
Total Pages | : 273 |
Release | : 2021-02-16 |
Genre | : Computers |
ISBN | : 3030688690 |
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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 | : Alfred J. Menezes |
Publisher | : Springer Science & Business Media |
Total Pages | : 229 |
Release | : 2013-04-17 |
Genre | : Technology & Engineering |
ISBN | : 1475722265 |
Download Applications of Finite Fields Book in PDF, ePub and Kindle
The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent years we have witnessed a resurgence of interest in finite fields, and this is partly due to important applications in coding theory and cryptography. The purpose of this book is to introduce the reader to some of these recent developments. It should be of interest to a wide range of students, researchers and practitioners in the disciplines of computer science, engineering and mathematics. We shall focus our attention on some specific recent developments in the theory and applications of finite fields. While the topics selected are treated in some depth, we have not attempted to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in constructing good error-correcting codes. To limit the size of the volume we have been forced to omit some important applications of finite fields. Some of these missing applications are briefly mentioned in the Appendix along with some key references.
Author | : Joachim von zur Gathen |
Publisher | : Springer |
Total Pages | : 214 |
Release | : 2008-07-08 |
Genre | : Computers |
ISBN | : 3540694994 |
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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.
Author | : Lilya Budaghyan |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2018-12-29 |
Genre | : Computers |
ISBN | : 3030051536 |
Download Arithmetic of Finite Fields Book in PDF, ePub and Kindle
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 | : Charles Small |
Publisher | : CRC Press |
Total Pages | : 254 |
Release | : 1991-04-24 |
Genre | : Mathematics |
ISBN | : 9780824785260 |
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Text for a one-semester course at the advanced undergraduate/beginning graduate level, or reference for algebraists and mathematicians interested in algebra, algebraic geometry, and number theory, examines counting or estimating numbers of solutions of equations in finite fields concentrating on top
Author | : Sylvain Duquesne |
Publisher | : Springer |
Total Pages | : 274 |
Release | : 2017-03-08 |
Genre | : Computers |
ISBN | : 3319552279 |
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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.