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Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography

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Finite Fields: Theory and Computation

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

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

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.

Coding and Cryptology

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Coding and Cryptology by N.A Book Summary:

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Number Theoretic And Algebraic Methods In Computer Science - Proceedings Of The International Conference

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Number Theoretic And Algebraic Methods In Computer Science - Proceedings Of The International Conference by Zimmer Horst G Book Summary:

This textbook is about the law of medical malpractice and how to prevent a malpractice lawsuit. It grew out of an earlier book covering medical negligence in Singapore. The book's primary goal is to provide a clear and simple explanation of the American law of medical malpractice, informed consent and risk management. Written with the clinician in mind, it is legally uncomplicated without being overly simplistic. The book is as much about medicine as it is about law; above all, it is about patients. It is written with the fervent belief that with better education, there will emerge a better appreciation of the expectations of the patient — often unmet — and the standards of the legal system — often misunderstood. Fewer lawsuits and improved patient care will hopefully follow.The book is in five sections. The first covers the law of malpractice and informed consent while the second covers risk management with chapters on confidentiality, communication and risk management tips. Section III is a single chapter on reforming the system, and discusses both medical and legal proposals. The subject of tort reforms is covered in this chapter. A review section consisting of 35 multiple choice questions and answers constitutes Section IV. The book concludes with a glossary of legal terms.

BPR

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

BPR by N.A Book Summary:

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Finite Fields

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Finite Fields by Gary L. Mullen,Peter Jau-Shyong Shiue Book Summary:

Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics treated are theoretical aspects of finite fields, coding theory, cryptology, combinatorial design theory, and algorithms related to finite fields. Also included is a list of open problems and conjectures. This volume is an excellent reference for applied and research mathematicians as well as specialists and graduate students in information theory, computer science, and electrical engineering.

Choice

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Choice by N.A Book Summary:

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Mathematical Reviews

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Mathematical Reviews by N.A Book Summary:

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by Serdar Boztas,Hsiao-feng Lu Book Summary:

This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.

Discrete Mathematics Using Latin Squares

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Discrete Mathematics Using Latin Squares by Charles F. Laywine,Gary L. Mullen Book Summary:

Over the past two decades, research in the theory of Latin Squares has been growing at a fast pace, and new significant developments have taken place. This book offers a unique approach to various areas of discrete mathematics through the use of Latin Squares.

The British National Bibliography

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The British National Bibliography by Arthur James Wells Book Summary:

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Suid-Afrikaanse Tydskrif Vir Wetenskap

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Suid-Afrikaanse Tydskrif Vir Wetenskap by N.A Book Summary:

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Advances in Cryptology – EUROCRYPT 2019

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Advances in Cryptology – EUROCRYPT 2019 by Yuval Ishai,Vincent Rijmen Book Summary:

The three volume-set LNCS 11476, 11477, and 11478 constitute the thoroughly refereed proceedings of the 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2019,held in Darmstadt, Germany, in May 2019. The 76 full papers presented were carefully reviewed and selected from 327 submissions. The papers are organized into the following topical sections: ABE and CCA security; succinct arguments and secure messaging; obfuscation; block ciphers; differential privacy; bounds for symmetric cryptography; non-malleability; blockchain and consensus; homomorphic primitives; standards; searchable encryption and ORAM; proofs of work and space; secure computation; quantum, secure computation and NIZK, lattice-based cryptography; foundations; efficient secure computation; signatures; information-theoretic cryptography; and cryptanalysis.

Cryptography and Computational Number Theory

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Cryptography and Computational Number Theory by Kwok Y. Lam,Igor Shparlinski,Huaxiong Wang,Chaoping Xing Book Summary:

This volume contains the refereed proceedings of the Workshop on Cryptography and Computational Number Theory, CCNT'99, which has been held in Singapore during the week of November 22-26, 1999. The workshop was organized by the Centre for Systems Security of the Na tional University of Singapore. We gratefully acknowledge the financial support from the Singapore National Science and Technology Board under the grant num ber RP960668/M. The idea for this workshop grew out of the recognition of the recent, rapid development in various areas of cryptography and computational number the ory. The event followed the concept of the research programs at such well-known research institutions as the Newton Institute (UK), Oberwolfach and Dagstuhl (Germany), and Luminy (France). Accordingly, there were only invited lectures at the workshop with plenty of time for informal discussions. It was hoped and successfully achieved that the meeting would encourage and stimulate further research in information and computer security as well as in the design and implementation of number theoretic cryptosystems and other related areas. Another goal of the meeting was to stimulate collaboration and more active interaction between mathematicians, computer scientists, practical cryptographers and engineers in academia, industry and government.

Issues in General and Specialized Mathematics Research: 2011 Edition

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Issues in General and Specialized Mathematics Research: 2011 Edition by N.A Book Summary:

Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Recursively Enumerable Sets and Degrees

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Recursively Enumerable Sets and Degrees by Robert I. Soare Book Summary:

..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988

Notices of the American Mathematical Society

Finite Fields Theory And Computation The Meeting Point Of Number Theory Computer Science Coding Theory And Cryptography [Pdf/ePub] eBook

Notices of the American Mathematical Society by American Mathematical Society Book Summary:

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