Arithmetic Of Finite Fields
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Field Arithmetic
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Author : Michael D. Fried
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Field Arithmetic written by Michael D. Fried and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?
Arithmetic Of Finite Fields
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Author : José Luis Imana
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-25
Arithmetic Of Finite Fields written by José Luis Imana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-25 with Computers categories.
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.
Hardware Implementation Of Finite Field Arithmetic
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Author : Jean-Pierre Deschamps
language : en
Publisher: McGraw Hill Professional
Release Date : 2009-01-14
Hardware Implementation Of Finite Field Arithmetic written by Jean-Pierre Deschamps and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-14 with Technology & Engineering categories.
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
Arithmetic Of Finite Fields
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Author : M. Anwar Hasan
language : en
Publisher: Springer
Release Date : 2010-06-26
Arithmetic Of Finite Fields written by M. Anwar Hasan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-26 with Computers categories.
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.
Arithmetic Of Finite Fields
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Author : Svetla Petkova-Nikova
language : en
Publisher: Springer Nature
Release Date : 2025-02-28
Arithmetic Of Finite Fields written by Svetla Petkova-Nikova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-28 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Workshop on Arithmetic of Finite Fields, WAIFI 2024, held in Ottawa, Ontario, Canada, during June 10–12, 2024. The 17 full papers included in this book were carefully reviewed and selected from 29 submissions. They were organized in topical sections as follows: Invited talks; Coding theory; Cryptography and Boolean functions; and Postquantum Cryptography.
Arithmetic Of Finite Fields
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Author : Charles Small
language : en
Publisher: CRC Press
Release Date : 1991-04-24
Arithmetic Of Finite Fields written by Charles Small and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-24 with Mathematics categories.
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
Arithmetic Of Finite Fields
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Author : Claude Carlet
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-11
Arithmetic Of Finite Fields written by Claude Carlet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-11 with Computers categories.
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.
Arithmetic Of Finite Fields
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Author : Çetin Kaya Koç
language : en
Publisher: Springer
Release Date : 2015-02-21
Arithmetic Of Finite Fields written by Çetin Kaya Koç and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-21 with Computers categories.
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.
Arithmetic Of Finite Fields
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Author : Jean Claude Bajard
language : en
Publisher: Springer Nature
Release Date : 2021-02-16
Arithmetic Of Finite Fields written by Jean Claude Bajard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-16 with Computers categories.
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.
Arithmetic Of Finite Fields
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Author : Lilya Budaghyan
language : en
Publisher: Springer
Release Date : 2018-12-29
Arithmetic Of Finite Fields written by Lilya Budaghyan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-29 with Computers categories.
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.