Group Based Cryptography
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Group Based Cryptography
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Author : Alexei Myasnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-17
Group Based Cryptography written by Alexei Myasnikov 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 2008-07-17 with Language Arts & Disciplines categories.
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. It is also shown that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far. Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science.
Applications Of Group Theory In Cryptography
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Author : Delaram Kahrobaei
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-25
Applications Of Group Theory In Cryptography written by Delaram Kahrobaei and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-25 with Mathematics categories.
This book is intended as a comprehensive treatment of group-based cryptography accessible to both mathematicians and computer scientists, with emphasis on the most recent developments in the area. To make it accessible to a broad range of readers, the authors started with a treatment of elementary topics in group theory, combinatorics, and complexity theory, as well as providing an overview of classical public-key cryptography. Then some algorithmic problems arising in group theory are presented, and cryptosystems based on these problems and their respective cryptanalyses are described. The book also provides an introduction to ideas in quantum cryptanalysis, especially with respect to the goal of post-quantum group-based cryptography as a candidate for quantum-resistant cryptography. The final part of the book provides a description of various classes of groups and their suitability as platforms for group-based cryptography. The book is a monograph addressed to graduate students and researchers in both mathematics and computer science.
Group Theoretic Cryptography
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Author : Maria Isabel Gonzalez Vasco
language : en
Publisher:
Release Date : 2024-10-14
Group Theoretic Cryptography written by Maria Isabel Gonzalez Vasco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-14 with Computers categories.
Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective
Mathematics Of Public Key Cryptography
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Author : Steven D. Galbraith
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-15
Mathematics Of Public Key Cryptography written by Steven D. Galbraith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Computers categories.
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
Algebraic Methods In Cryptography
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Author : Lothar Gerritzen
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Algebraic Methods In Cryptography written by Lothar Gerritzen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Business & Economics categories.
The book consists of contributions related mostly to public-key cryptography, including the design of new cryptographic primitives as well as cryptanalysis of previously suggested schemes. Most papers are original research papers in the area that can be loosely defined as ``non-commutative cryptography''; this means that groups (or other algebraic structures) which are used as platforms are non-commutative.
Pairing Based Cryptography Pairing 2007
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Author : Tsuyoshi Takagi
language : en
Publisher: Springer
Release Date : 2007-09-12
Pairing Based Cryptography Pairing 2007 written by Tsuyoshi Takagi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-12 with Computers categories.
Pairing-based cryptography is at the very leading edge of the current wave in computer cryptography. That makes this book all the more relevant, being as it is the refereed proceedings of the First International Conference on Pairing-Based Cryptography, Pairing 2007, held in Tokyo, Japan in 2007. The 18 revised full papers presented together were carefully reviewed and selected from 86 submissions. The papers are organized in topical sections including those on applications, and certificateless public key encryption.
Semirings As Building Blocks In Cryptography
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Author : Mariana Durcheva
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-11-12
Semirings As Building Blocks In Cryptography written by Mariana Durcheva and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-12 with Mathematics categories.
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.
Non Commutative Cryptography And Complexity Of Group Theoretic Problems
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Author : Alexei G. Myasnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Non Commutative Cryptography And Complexity Of Group Theoretic Problems written by Alexei G. Myasnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
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.
Algorithmic Strategies For Solving Complex Problems In Cryptography
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Author : Balasubramanian, Kannan
language : en
Publisher: IGI Global
Release Date : 2017-08-16
Algorithmic Strategies For Solving Complex Problems In Cryptography written by Balasubramanian, Kannan and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-16 with Computers categories.
Cryptography is a field that is constantly advancing, due to exponential growth in new technologies within the past few decades. Applying strategic algorithms to cryptic issues can help save time and energy in solving the expanding problems within this field. Algorithmic Strategies for Solving Complex Problems in Cryptography is an essential reference source that discusses the evolution and current trends in cryptology, and it offers new insight into how to use strategic algorithms to aid in solving intricate difficulties within this domain. Featuring relevant topics such as hash functions, homomorphic encryption schemes, two party computation, and integer factoring, this publication is ideal for academicians, graduate students, engineers, professionals, and researchers interested in expanding their knowledge of current trends and techniques within the cryptology field.
Abstract Algebra
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Author : Celine Carstensen
language : en
Publisher: Walter de Gruyter
Release Date : 2011
Abstract Algebra written by Celine Carstensen and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Language Arts & Disciplines categories.
A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that cannot be found elsewhere, and also offers a chapter on cryptography. End of chapter problems help readers with accessing the subjects. This work is co-published with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics.