Non-commutative Cryptography and Complexity of Group-theoretic Problems

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821853600
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-commutative Cryptography and Complexity of Group-theoretic Problems by : Alexei G. Myasnikov

Download or read book Non-commutative Cryptography and Complexity of Group-theoretic Problems written by Alexei G. Myasnikov and published by American Mathematical Soc.. This book was released on 2011 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be used in public key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory.

Non-commutative Cryptography and Complexity of Group-theoretic Problems

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (732 download)

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Book Synopsis Non-commutative Cryptography and Complexity of Group-theoretic Problems by : Alexei G. Myasnikov

Download or read book Non-commutative Cryptography and Complexity of Group-theoretic Problems written by Alexei G. Myasnikov and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Free Noncommutative Function Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470416972
Total Pages : 194 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Foundations of Free Noncommutative Function Theory by : Dmitry S. Kaliuzhnyi-Verbovetskyi

Download or read book Foundations of Free Noncommutative Function Theory written by Dmitry S. Kaliuzhnyi-Verbovetskyi and published by American Mathematical Soc.. This book was released on 2014-11-19 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions. Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is "dimensionless" matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, and quantum control.

Complexity and Randomness in Group Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667029
Total Pages : 386 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Complexity and Randomness in Group Theory by : Frédérique Bassino

Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed Description

Computational and Combinatorial Group Theory and Cryptography

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Publisher : American Mathematical Soc.
ISBN 13 : 0821875639
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Computational and Combinatorial Group Theory and Cryptography by : Benjamin Fine

Download or read book Computational and Combinatorial Group Theory and Cryptography written by Benjamin Fine and published by American Mathematical Soc.. This book was released on 2012 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Computational Algebra, Groups, and Applications, held April 30-May 1, 2011, at the University of Nevada, Las Vegas, Nevada, and the AMS Special Session on the Mathematical Aspects of Cryptography and Cyber Security, held September 10-11, 2011, at Cornell University, Ithaca, New York. Over the past twenty years combinatorial and infinite group theory has been energized by three developments: the emergence of geometric and asymptotic group theory, the development of algebraic geometry over groups leading to the solution of the Tarski problems, and the development of group-based cryptography. These three areas in turn have had an impact on computational algebra and complexity theory. The papers in this volume, both survey and research, exhibit the tremendous vitality that is at the heart of group theory in the beginning of the twenty-first century as well as the diversity of interests in the field.

The Compressed Word Problem for Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1493907484
Total Pages : 193 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis The Compressed Word Problem for Groups by : Markus Lohrey

Download or read book The Compressed Word Problem for Groups written by Markus Lohrey and published by Springer Science & Business Media. This book was released on 2014-04-04 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Compressed Word Problem for Groups provides a detailed exposition of known results on the compressed word problem, emphasizing efficient algorithms for the compressed word problem in various groups. The author presents the necessary background along with the most recent results on the compressed word problem to create a cohesive self-contained book accessible to computer scientists as well as mathematicians. Readers will quickly reach the frontier of current research which makes the book especially appealing for students looking for a currently active research topic at the intersection of group theory and computer science. The word problem introduced in 1910 by Max Dehn is one of the most important decision problems in group theory. For many groups, highly efficient algorithms for the word problem exist. In recent years, a new technique based on data compression for providing more efficient algorithms for word problems, has been developed, by representing long words over group generators in a compressed form using a straight-line program. Algorithmic techniques used for manipulating compressed words has shown that the compressed word problem can be solved in polynomial time for a large class of groups such as free groups, graph groups and nilpotent groups. These results have important implications for algorithmic questions related to automorphism groups.

Finitely Presented Groups

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111474275
Total Pages : 322 pages
Book Rating : 4.1/5 (114 download)

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Book Synopsis Finitely Presented Groups by : Volker Diekert

Download or read book Finitely Presented Groups written by Volker Diekert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-10-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1

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Publisher : John Wiley & Sons
ISBN 13 : 1394284330
Total Pages : 452 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1 by : Dmitri Koroliouk

Download or read book Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1 written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2024-04-16 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods in engineering are characterized by a wide range of techniques for approaching various problems. Moreover, completely different analysis techniques can be applied to the same problem, which is justified by the difference in specific applications. Therefore, the study of the analyses and solutions of specific problems leads the researcher to generate their own techniques for the analysis of similar problems continuously arising in the process of technical development. Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications contains solutions to specific problems in current areas of computational engineering and cyberphysics.

Advances in Information and Communication

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Publisher : Springer Nature
ISBN 13 : 3031540530
Total Pages : 721 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Information and Communication by : Kohei Arai

Download or read book Advances in Information and Communication written by Kohei Arai and published by Springer Nature. This book was released on with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trusted Computing and Information Security

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Publisher : Springer
ISBN 13 : 981135913X
Total Pages : 420 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Trusted Computing and Information Security by : Huanguo Zhang

Download or read book Trusted Computing and Information Security written by Huanguo Zhang and published by Springer. This book was released on 2019-01-08 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Chinese Conference on Trusted Computing and Information Security, CTCIS 2018, held in Wuhan, China, in October 2018. The 24 revised full papers presented were carefully reviewed and selected from 73 submissions. The papers are centered around cryptography, systems security, trusted computing, information security, and network security.

Intelligent Information and Database Systems

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Publisher : Springer Nature
ISBN 13 : 3031219678
Total Pages : 766 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Intelligent Information and Database Systems by : Ngoc Thanh Nguyen

Download or read book Intelligent Information and Database Systems written by Ngoc Thanh Nguyen and published by Springer Nature. This book was released on 2022-12-08 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2022, held Ho Chi Minh City, Vietnam in November 2022. The 113 full papers accepted for publication in these proceedings were carefully reviewed and selected from 406 submissions. The papers of the 2 volume-set are organized in the following topical sections: data mining and machine learning methods, advanced data mining techniques and applications, intelligent and contextual systems, natural language processing, network systems and applications, computational imaging and vision, decision support and control systems, and data modeling and processing for industry 4.0. The accepted and presented papers focus on new trends and challenges facing the intelligent information and database systems community.

Intelligent Systems and Applications

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Publisher : Springer Nature
ISBN 13 : 3031664310
Total Pages : 668 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Intelligent Systems and Applications by : Kohei Arai

Download or read book Intelligent Systems and Applications written by Kohei Arai and published by Springer Nature. This book was released on with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semirings as Building Blocks in Cryptography

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527543315
Total Pages : 132 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Semirings as Building Blocks in Cryptography by : Mariana Durcheva

Download or read book Semirings as Building Blocks in Cryptography written by Mariana Durcheva and published by Cambridge Scholars Publishing. This book was released on 2019-11-12 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semirings as an algebraic structure have been known since 1934, but remained unapplied for mathematical purposes for a long time. It has only been in the past decade that they have been used in cryptography. The advantage of (additively) idempotent semirings is that the additive operation does not have an inverse, which can help in preventing the breakage of a cryptosystem. This book describes a number of cryptographic protocols, as well as the hard mathematical problems on which their security is based. It will appeal to cryptographers and specialists in applied algebra.

Group-based Cryptography

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Publisher : Springer Science & Business Media
ISBN 13 : 3764388277
Total Pages : 192 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Group-based Cryptography by : Alexei Myasnikov

Download or read book Group-based Cryptography written by Alexei Myasnikov and published by Springer Science & Business Media. This book was released on 2008-11-04 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.

Advances in Cryptology – CRYPTO 2018

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Publisher : Springer
ISBN 13 : 331996884X
Total Pages : 827 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Advances in Cryptology – CRYPTO 2018 by : Hovav Shacham

Download or read book Advances in Cryptology – CRYPTO 2018 written by Hovav Shacham and published by Springer. This book was released on 2018-08-11 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volume-set, LNCS 10991, LNCS 10992, and LNCS 10993, constitutes the refereed proceedings of the 38th Annual International Cryptology Conference, CRYPTO 2018, held in Santa Barbara, CA, USA, in August 2018. The 79 revised full papers presented were carefully reviewed and selected from 351 submissions. The papers are organized in the following topical sections: secure messaging; implementations and physical attacks prevention; authenticated and format-preserving encryption; cryptoanalysis; searchable encryption and differential privacy; secret sharing; encryption; symmetric cryptography; proofs of work and proofs of stake; proof tools; key exchange; symmetric cryptoanalysis; hashes and random oracles; trapdoor functions; round optimal MPC; foundations; lattices; lattice-based ZK; efficient MPC; quantum cryptography; MPC; garbling; information-theoretic MPC; oblivious transfer; non-malleable codes; zero knowledge; and obfuscation.

Persistence Theory: From Quiver Representations to Data Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 1470434431
Total Pages : 229 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Persistence Theory: From Quiver Representations to Data Analysis by : Steve Y. Oudot

Download or read book Persistence Theory: From Quiver Representations to Data Analysis written by Steve Y. Oudot and published by American Mathematical Soc.. This book was released on 2017-05-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.

Pursuit of the Universal

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Publisher : Springer
ISBN 13 : 3319401890
Total Pages : 388 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Pursuit of the Universal by : Arnold Beckmann

Download or read book Pursuit of the Universal written by Arnold Beckmann and published by Springer. This book was released on 2016-06-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th Conference on Computability in Europe, CiE 2016, held in Paris, France, in June/July 2016. The 18 revised full papers and 19 invited papers and invited extended abstracts were carefully reviewed and selected from 40 submissions. The conference CiE 2016 has six special sessions – two sessions, cryptography and information theory and symbolic dynamics, are organized for the first time in the conference series. In addition to this new developments in areas frequently covered in the CiE conference series were addressed in the following sessions: computable and constructive analysis; computation in biological systems; history and philosophy of computing; weak arithmetic.