Interactions between Group Theory, Symmetry and Cryptology

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Publisher : MDPI
ISBN 13 : 3039288024
Total Pages : 164 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Interactions between Group Theory, Symmetry and Cryptology by : María Isabel González Vasco

Download or read book Interactions between Group Theory, Symmetry and Cryptology written by María Isabel González Vasco and published by MDPI. This book was released on 2020-04-22 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.

Interactions between Group Theory, Symmetry and Cryptology

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Publisher :
ISBN 13 : 9783039288038
Total Pages : 164 pages
Book Rating : 4.2/5 (88 download)

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Book Synopsis Interactions between Group Theory, Symmetry and Cryptology by : María Isabel González Vasco

Download or read book Interactions between Group Theory, Symmetry and Cryptology written by María Isabel González Vasco and published by . This book was released on 2020 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.

Abstract Algebra: Group Theory

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Author :
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4./5 ( download)

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Book Synopsis Abstract Algebra: Group Theory by : N.B. Singh

Download or read book Abstract Algebra: Group Theory written by N.B. Singh and published by N.B. Singh. This book was released on with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Methods in Signal and Image Analysis

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Publisher : Cambridge University Press
ISBN 13 : 110703390X
Total Pages : 299 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Geometric Methods in Signal and Image Analysis by : Hamid Krim

Download or read book Geometric Methods in Signal and Image Analysis written by Hamid Krim and published by Cambridge University Press. This book was released on 2015-06-18 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to modern geometric methods for signal and image analysis, from basic principles to state-of-the-art concepts and applications.

Non-commutative Cryptography and Complexity of Group-theoretic Problems

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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.

Theory of Quantum Computation, Communication, and Cryptography

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Publisher : Springer
ISBN 13 : 3642356567
Total Pages : 153 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Theory of Quantum Computation, Communication, and Cryptography by : Kazuo Iwama

Download or read book Theory of Quantum Computation, Communication, and Cryptography written by Kazuo Iwama and published by Springer. This book was released on 2013-01-05 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 7th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2012, held in Tokyo, Japan, in May 2012. The 12 papers presented were carefully reviewed and selected for inclusion in this book. They contain original research on the rapidly growing, interdisciplinary field of quantum computation, communication and cryptography. Topics addressed are such as quantum algorithms, quantum computation models, quantum complexity theory, simulation of quantum systems, quantum programming languages, quantum cryptography, quantum communication, quantum estimation, quantum measurement, quantum tomography, completely positive maps, decoherence, quantum noise, quantum coding theory, fault-tolerant quantum computing, entanglement theory, and quantum teleportation.

Cryptology and Network Security

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Publisher : Springer
ISBN 13 : 3642104339
Total Pages : 538 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Cryptology and Network Security by : Juan A. Garay

Download or read book Cryptology and Network Security written by Juan A. Garay and published by Springer. This book was released on 2009-11-23 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Cryptology and Network Security, CANS 2009, held in Kanazawa, Japan, in December 2009. The 32 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 109 submissions. The papers are organized in topical sections on cryptographic protocols and schemes; cryptanalysis; wireless and sensor security; network security; privacy and anonymity; functional and searchable encryption; authentication; block cipher design; and algebraic and number-theoretic schemes.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 1139499793
Total Pages : 347 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 by : Raf Cluckers

Download or read book Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 written by Raf Cluckers and published by Cambridge University Press. This book was released on 2011-09-22 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.

High Energy Physics

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Publisher : Scientific e-Resources
ISBN 13 : 1839473851
Total Pages : 316 pages
Book Rating : 4.8/5 (394 download)

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Book Synopsis High Energy Physics by : Glenn Cunningham

Download or read book High Energy Physics written by Glenn Cunningham and published by Scientific e-Resources. This book was released on 2019-07-07 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle physics (also high energy physics) is the branch of physics that studies the nature of the particles that constitute matter and radiation. Although the word "e;particle"e; can refer to various types of very small objects "e;particle physics"e; usually investigates the irreducibly smallest detectable particles and the fundamental interactions necessary to explain their behaviour. By our current understanding, these elementary particles are excitations of the quantum fields that also govern their interactions. The currently dominant theory explaining these fundamental particles and fields, along with their dynamics, is called the Standard Model. Thus, modern particle physics generally investigates the Standard Model and its various possible extensions, e.g. to the newest "e;known"e; particle, the Higgs boson, or even to the oldest known force field, gravity. Written in a clear pedagogic style by active researchers, this book will prepare a beginner to work in the field and at the same time will also provide useful reference material for active researchers.

Discrete Algebraic Methods

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110413337
Total Pages : 354 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Discrete Algebraic Methods by : Volker Diekert

Download or read book Discrete Algebraic Methods written by Volker Diekert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-05-24 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents: Algebraic structures Cryptography Number theoretic algorithms Polynomial time primality test Elliptic curves Combinatorics on words Automata Discrete infinite groups

Dynamical Systems and Group Actions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821869221
Total Pages : 280 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Dynamical Systems and Group Actions by : Lewis Bowen

Download or read book Dynamical Systems and Group Actions written by Lewis Bowen and published by American Mathematical Soc.. This book was released on 2012 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.

Theory of Cryptography

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Publisher : Springer Nature
ISBN 13 : 3031223659
Total Pages : 813 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Theory of Cryptography by : Eike Kiltz

Download or read book Theory of Cryptography written by Eike Kiltz and published by Springer Nature. This book was released on 2022-12-21 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume set LNCS 13747, LNCS 13748 and LNCS 13749 constitutes the refereed proceedings of the 20th International Conference on Theory of Cryptography, TCC 2022, held in Chicago, IL, USA, in November 2022. The total of 60 full papers presented in this three-volume set was carefully reviewed and selected from 139 submissions. They cover topics on post-quantum cryptography; interactive proofs; quantum cryptography; secret-sharing and applications; succinct proofs; identity-based encryption and functional encryption; attribute-based encryption and functional encryption; encryption; multi-party computation; protocols: key agreement and commitments; theory: sampling and friends; lattices; anonymity, verfiability and robustness; ORAM, OT and PIR; and theory.

Arithmetic, Geometry, Cryptography and Coding Theory 2009

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849557
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory 2009 by : David R. Kohel

Download or read book Arithmetic, Geometry, Cryptography and Coding Theory 2009 written by David R. Kohel and published by American Mathematical Soc.. This book was released on 2010 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009. The articles contained in this volume come from three related symposia organized by the group Arithmetique et Theorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.

Coding Theory and Cryptography

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Publisher : Springer Science & Business Media
ISBN 13 : 3642596630
Total Pages : 264 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Coding Theory and Cryptography by : David Joyner

Download or read book Coding Theory and Cryptography written by David Joyner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).

Group Theory, Statistics, and Cryptography

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821856956
Total Pages : 188 pages
Book Rating : 4.8/5 (569 download)

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Book Synopsis Group Theory, Statistics, and Cryptography by : Vladimir Shpilrain

Download or read book Group Theory, Statistics, and Cryptography written by Vladimir Shpilrain and published by American Mathematical Soc.. This book was released on 2004-10-14 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.

Error-Correcting Codes, Finite Geometries and Cryptography

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849565
Total Pages : 255 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Error-Correcting Codes, Finite Geometries and Cryptography by : Aiden A. Bruen

Download or read book Error-Correcting Codes, Finite Geometries and Cryptography written by Aiden A. Bruen and published by American Mathematical Soc.. This book was released on 2010-09-03 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, On, Canada from December 5-6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8-10, 2007. The volume features cutting-edge theoretical results on the Reed-Muller and Reed-Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0, 1) matrices with forbidden configurations, Andre embeddings, and representations of projective spaces in affine planes. Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interst and of benefit both to the experienced and to newcomers alike.

Mirror Symmetry and Tropical Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848844
Total Pages : 184 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mirror Symmetry and Tropical Geometry by : Ricardo Castaño-Bernard

Download or read book Mirror Symmetry and Tropical Geometry written by Ricardo Castaño-Bernard and published by American Mathematical Soc.. This book was released on 2010 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from the NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, which was held from December 13-17, 2008 at Kansas State University in Manhattan, Kansas. --