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Monday, May 4, 2020 | History

3 edition of Group Theoretic Cryptography (Chapman & Hall/Crc Cryptography and Network Security Series) found in the catalog.

Group Theoretic Cryptography (Chapman & Hall/Crc Cryptography and Network Security Series)

Maria Isabel Vasco

Group Theoretic Cryptography (Chapman & Hall/Crc Cryptography and Network Security Series)

  • 199 Want to read
  • 13 Currently reading

Published by Chapman & Hall/CRC .
Written in English

    Subjects:
  • Computers / Security,
  • Combinatorics,
  • Operating Systems - General,
  • Security - General,
  • Computers,
  • Computers - Computer Security,
  • Computer Books: General

  • The Physical Object
    FormatHardcover
    ID Numbers
    Open LibraryOL12313841M
    ISBN 101584888369
    ISBN 109781584888369
    OCLC/WorldCa312626563

      An Introduction to Mathematical Cryptography: Edition 2 - Ebook written by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read An Introduction to Mathematical Cryptography: Edition 2. The book is composed of three parts that focus on a range of topics such as stream ciphers, applications of cryptography, number theory, integer factorization algorithms and authentication mechanisms, to name a few. 2 Summary of the book The book consists of three parts. The rst part is dedicated to the number theoretic aspects of Cryptol-ogy.


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Group Theoretic Cryptography (Chapman & Hall/Crc Cryptography and Network Security Series) by Maria Isabel Vasco Download PDF EPUB FB2

Moreover, the book evidences how group theoretic techniques help us gain new insight into well known, seemingly unrelated, cryptographic constructions, such as DES. The book starts with brief overviews of the fundamentals of group theory, complexity theory, and cryptography. Group Theoretic Cryptography - CRC Press Book.

Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences. Many cryptographic constructions exploit the computational hardness of group theoretical problems, and the area is viewed as a potential so.

Blackburn, Cid, Mullan: Group theory in cryptography 3 4. The shared key is thus k = k a = k b ∈ G. The security of the scheme relies on the assumption that, knowing g ∈ G and having observed both ga and gb, it is computationally infeasible for an adversary to obtain the shared key.

This is known as the Diffie–Hellman Problem (DHP). Group Theoretic Cryptography (Chapman & Hall/CRC Cryptography and Network Security Series Book 9) - Kindle edition by González Vasco, Maria Isabel, Steinwandt, Rainer.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Group Theoretic Cryptography (Chapman & Hall/CRC Manufacturer: Chapman and Hall/CRC.

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Moreover, the book evidences how group theoretic techniques help us gain new insight into well known, seemingly unrelated, cryptographic constructions, such as DES. The book starts with brief overviews of the fundamentals of group theory, complexity theory, and : Chapman and Hall/CRC. Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences.

Many cryptographic constructions exploit the computational hardness of group theoretical problems, and the area is viewed as a potential source of quantum-resilient cryptographic primitivesCited by: 5. Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences.

Many cryptographic constructions exploit the computational hardness of group theoretical problems, and the area is Price: $ to know more about cryptography based on group theory. The paper gives a brief overview of the subject, and provides pointers to good textbooks, key research papers and recent survey papers in the area.

1 Introduction In the last few years, many papers have proposed cryptosystems based on group theoretic by: Moreover, the book evidences how group theoretic techniques help us gain new insight into well known, seemingly unrelated, cryptographic constructions, such as DES.

The book starts with brief overviews of the fundamentals of group theory, complexity theory, and cryptography. Part two is devoted to public-key encryption, including provable Author: Maria Isabel González Vasco, Rainer Steinwandt.

Get this from a library. Group theoretic cryptography. [Maria Isabel González Vasco; Rainer Steinwandt] -- "Supplies an introduction to cryptography for those interested in group theory -- Offers formal security analyses and highlights potential vulnerabilities for cryptographic constructions involving.

Moreover, the book evidences how group theoretic techniques help us gain new insight into well known, seemingly unrelated, cryptographic constructions, such as DES. The book starts with brief overviews of the fundamentals of group 5/5(1).

Group theoretic cryptography is a relatively new discipline and overviews can be found in the two recent monographs [11], [19]. A number of group theoretic key agreement protocols have been. Group theory is also central to public key cryptography.

One of the most important mathematical achievements of the 20th century [1] was the collaborative effort, taking up more t journal pages and mostly published between andthat culminated in a complete classification of finite simple groups. Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences.

Many cryptographic constructions exploit the computational hardness of group theoretical problems, and the area is viewed as a potential source of quantum-resilient cryptographic primitives for the future. Group. This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory.

It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. Group-based cryptography is a use of groups to construct cryptographic primitives.A group is a very general algebraic object and most cryptographic schemes use groups in some way.

In particular Diffie–Hellman key exchange uses finite cyclic groups. So the term group-based cryptography refers mostly to cryptographic protocols that use infinite nonabelian groups such. Those who downloaded this book also downloaded the following books: Comments. Buy Group Theoretic Cryptography (Chapman & Hall/CRC Cryptography and Network Security Series) 1 by González Vasco, Maria Isabel, Steinwandt, Rainer (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of this fascinating subject. Finding a Generator of a Cyclic Group Group-Theoretic Background Efficient Algorithms a skill that will remain relevant and useful regardless of how technology and cryptography standards change.

The book uses just enough /5(). PLAN OF THE BOOK 11 Chapter 2 Foundations 13 INTRODUCTION 13 MATHEMATICAL CONCEPTS AND PROPERTIES 13 Concepts from Number Theory 13 Primes and Divisibility 13 Modular Arithmetic 15 v Introduction to Certificateless Cryptography (ISBN ) by Hu Xiong, Zhen Qin, and Athanasios V.

Vasilakos. Cryptography inspires new group-theoretic problems and leads to important new ideas. The book includes exciting improvements in the algorithmic theory of solvable groups. Another exceptional new development is the authors’.

Group Theoretic Cryptography supplies an ideal introduction to cryptography for those who are interested in group theory and want to learn about the possible interplays between the two fields.

Assuming an undergraduate-level understanding of linear algebra and discrete mathematics, it details the specifics of using non-Abelian groups in the 5/5(1).

Non-commutative cryptography and complexity of group-theoretic problems / Alexei Myas-nikov, Vladimir Shpilrain, Alexander Ushakov ; with an appendix by Natalia Mosina. – (Mathematical surveys and monographs ; v. ) Includes bibliographical references and index. ISBN (alk.

paper) 1. Combinatorial group theory. 2 File Size: 2MB. Noté /5. Retrouvez Group Theoretic Cryptography et des millions de livres en stock sur Achetez neuf ou d'occasionFormat: Relié. This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory.

It explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public-key cryptography. A Course in Number Theory and Cryptography: DJVU: 4/14/ AM: risotor: Alexei Myasnikov: Non-Commutative Cryptography and Complexity of Group-Theoretic Problems (Mathematical Surveys and Monographs) PDF: 4/12/ PM: stirkout: Abhijit Das: Public-Key Cryptography: Theory and Practice.

Group Theoretic Cryptography 1st Edition. Maria Isabel González Vasco, Rainer Steinwandt Ap Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences.

Chapter of the book BIG DATA: Eje estratégico en la industria audiovisual. Eva Patricia Fdez., Coord. Editorial UOC, ISBN:pp. (with Rainer Steinwandt). Group Theoretic Cryptography. Cryptographic and Network Security Series. CRC Press, Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols.

First, the book provides the mathematical background needed in cryptography as well as definitions and simple examples from cryptography. Hoboken, NJ – Stevens professors Alexei Miasnikov and Alexander Ushakov from the Department of Mathematical Sciences in the Schaefer School of Engineering & Science are coauthors of a new book entitled, "Non-Commutative Cryptography and Complexity of Group-Theoretic Problems" (American Mathematical Society, December ).The book explores.

Group Theoretic Cryptography. Abstract. We discuss the security of group-theoretic hash functions for cryptographic purposes.

Those functions display several attractive features: they can be computed quickly, and it can be shown that local modifications of the plaintext necessarily change the hashed by: The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group.

Applications involving symm. etry groups, determinants, linear coding theory and cryptography are interwoven : Springer-Verlag New York. Number-Theoretic Algorithms (RSA and related algorithms) Chap CLRS book.

Outline • Modular arithmetic • RSA encryption scheme is not necessarily a group; some may not exist. For, exists if and on n nn n n Z ZZ Za a Z a x x x ly if gcd(,) p ^ ` * 1File Size: KB. A great cheap book in Dover paperback for graduate students is John Rose's A Course In Group Theory.

This was one of the first books to extensively couch group theory in the language of group actions and it's still one of the best to do that.

It covers everything in group theory that doesn't require representation theory. Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels.

This book is concerned with the mathematical, especially algebraic, aspects - Selection from A Course in Mathematical Cryptography [Book]. This has led to an active line of research called non-abelian group based cryptography.

In this work, I in collaboration with Delaram Kahrobaei and Vladimir Shpilrain introduce a new public key exchange protocol based on a group theoretic problem and propose an appropriate platform group for this protocol.

ISBN: OCLC Number: Description: xiv, pages: illustrations ; 26 cm. Contents: Background on groups, complexity, and cryptography --Non-commutative cryptography --Generic complexity and cryptanalysis --Asymptotically dominant properties and cryptanalysis --Word and conjugacy search problems in groups --Word problem.

We have also invented a group-theoretic, challenge-response protocol for internet and related security and various cryptographic schemes based on group theory. Finally part of my work involves the creation of open source software by undergraduates at the college, providing them with a wonderful opportunity to build useful software.

Cryptanalysis of Number Theoretic Ciphers book. Read 2 reviews from the world's largest community for readers. At the heart of modern cryptographic algor /5. Cryptanalysis of Number Theoretic Ciphers book. the book provides the mathematical background needed in cryptography as well as definitions and simple examples from cryptography.

It includes summaries of elementary number theory and group theory, as well as common methods of finding or constructing large random primes, factoring large Cited by: Group theory in cryptography. this accessible book prepares readers to tackle more advanced problems in the field. and other combinatorial group .