Algebra For Cryptologists
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Algebra For Cryptologists
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Author : Alko R. Meijer
language : en
Publisher: Springer
Release Date : 2016-09-01
Algebra For Cryptologists written by Alko R. Meijer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-01 with Mathematics categories.
This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved. Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-study in preparation for postgraduate study in cryptology.
Secret History
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Author : Craig P. Bauer
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Secret History written by Craig P. Bauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
Winner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History: The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the
A Classical Introduction To Cryptography
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Author : Serge Vaudenay
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-16
A Classical Introduction To Cryptography written by Serge Vaudenay 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 2005-09-16 with Computers categories.
A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes. A Classical Introduction to Cryptography: Applications for Communications Security is designed for upper-level undergraduate and graduate-level students in computer science. This book is also suitable for researchers and practitioners in industry. A separate exercise/solution booklet is available as well, please go to www.springeronline.com under author: Vaudenay for additional details on how to purchase this booklet.
Fundamentals Of Cryptology
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Author : Henk C.A. van Tilborg
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-12-31
Fundamentals Of Cryptology written by Henk C.A. van Tilborg 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 1999-12-31 with Computers categories.
The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable for these threats. Also, new issues have come up that were not relevant before, e. g. how to add a (digital) signature to an electronic document in such a way that the signer can not deny later on that the document was signed by him/her. Cryptology addresses the above issues. It is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical of nature. This book serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas. First of all, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver have to share a secret key. Public key cryptosystems (the second main area) make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, like the factorization of large numbers. The remaining chapters cover a variety of topics, such as zero-knowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in great detail. One is on elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions). The other appendix gives a thorough introduction to finite fields and their algebraic structure.
Cryptography
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Author : Simon Rubinstein-Salzedo
language : en
Publisher: Springer
Release Date : 2018-09-27
Cryptography written by Simon Rubinstein-Salzedo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-27 with Mathematics categories.
This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication. Beginning with classical ciphers and their cryptanalysis, this book proceeds to focus on modern public key cryptosystems such as Diffie-Hellman, ElGamal, RSA, and elliptic curve cryptography with an analysis of vulnerabilities of these systems and underlying mathematical issues such as factorization algorithms. Specialized topics such as zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final section of this book. Aimed at undergraduate students, this book contains a large selection of problems, ranging from straightforward to difficult, and can be used as a textbook for classes as well as self-study. Requiring only a solid grounding in basic mathematics, this book will also appeal to advanced high school students and amateur mathematicians interested in this fascinating and topical subject.
New Classes Of Codes For Cryptologists And Computer Scientists
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2008
New Classes Of Codes For Cryptologists And Computer Scientists written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.
In this book, new classes of codes are introduced to help cryptologists and computer scientists.These codes will find application in networking and data storage.Further, these new classes of codes cannot be easily cracked by hackers, so they will be useful in defense departments.
Applied Abstract Algebra With Mapletm And Matlab
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Author : Richard Klima
language : en
Publisher: CRC Press
Release Date : 2015-11-18
Applied Abstract Algebra With Mapletm And Matlab written by Richard Klima and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Mathematics categories.
Applied Abstract Algebra with MapleTM and MATLAB provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Polya's and Burnside's theorems. The book also includes a concise review of all prereq
Advances To Homomorphic And Searchable Encryption
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Author : Stefania Loredana Nita
language : en
Publisher: Springer Nature
Release Date : 2023-09-26
Advances To Homomorphic And Searchable Encryption written by Stefania Loredana Nita and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-26 with Computers categories.
This book presents the current state of the literature on the fields of homomorphic and searchable encryption, from both theoretical and practical points of view. Homomorphic and searchable encryption are still relatively novel and rapidly evolving areas and face practical constraints in the contexts of large-scale cloud computing and big data. Both encryption methods can be quantum-resistant if they use the right mathematical techniques. In fact, many fully homomorphic encryption schemes already use quantum-resistant techniques, such as lattices or characteristics of polynomials – which is what motivated the authors to present them in detail. On the one hand, the book highlights the characteristics of each type of encryption, including methods, security elements, security requirements, and the main types of attacks that can occur. On the other, it includes practical cases and addresses aspects like performance, limitations, etc. As cloud computing and big data already represent the future in terms of storing, managing, analyzing, and processing data, these processes need to be made as secure as possible, and homomorphic and searchable encryption hold huge potential to secure both the data involved and the processes through which it passes. This book is intended for graduates, professionals and researchers alike. Homomorphic and searchable encryption involve advanced mathematical techniques; accordingly, readers should have a basic background in number theory, abstract algebra, lattice theory, and polynomial algebra.
Public Key Cryptosystems
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Author : Esra Bas
language : en
Publisher: CRC Press
Release Date : 2024-12-30
Public Key Cryptosystems written by Esra Bas and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-30 with Computers categories.
This book is a short book about public key cryptosystems, digital signature algorithms, and their basic cryptanalysis which are provided at a basic level so that it can be easy to understand for the undergraduate engineering students who can be defined as the core audience. To provide the necessary background, Chapters 1 and 2 are devoted to the selected fundamental concepts in cryptography mathematics and selected fundamental concepts in cryptography. Chapter 3 is devoted to discrete logarithm problem (DLP), DLP-related public key cryptosystems, digital signature algorithms, and their cryptanalysis. In this chapter, the elliptic curve counterparts of the algorithms and the basic algorithms for the solution of DLP are also given. In Chapter 4, RSA public key cryptosystem, RSA digital signature algorithm, the basic cryptanalysis approaches, and the integer factorization methods are provided. Chapter 5 is devoted to GGH and NTRU public key cryptosystems, GGH and NTRU digital signature algorithms, and the basic cryptanalysis approaches, whereas Chapter 6 covers other topics including knapsack cryptosystems, identity-based public key cryptosystems, identity-based digital signature algorithms, Goldwasser-Micali probabilistic public key cryptosystem, and their cryptanalysis. The book’s distinctive features: The book provides some fundamental mathematical and conceptual preliminaries required to understand the core parts of the book. The book comprises the selected public key cryptosystems, digital signature algorithms, and the basic cryptanalysis approaches for these cryptosystems and algorithms. The cryptographic algorithms and most of the solutions of the examples are provided in a structured table format to support easy learning. The concepts and algorithms are illustrated with examples, some of which are revisited multiple times to present alternative approaches. The details of the topics covered in the book are intentionally not presented; however, several references are provided at the end of each chapter so that the reader can read those references for more details.
Introduction To Lie Algebras
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Author : K. Erdmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-28
Introduction To Lie Algebras written by K. Erdmann 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 2006-09-28 with Mathematics categories.
Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right. This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. The only prerequisite is some linear algebra and an appendix summarizes the main facts that are needed. The treatment is kept as simple as possible with no attempt at full generality. Numerous worked examples and exercises are provided to test understanding, along with more demanding problems, several of which have solutions. Introduction to Lie Algebras covers the core material required for almost all other work in Lie theory and provides a self-study guide suitable for undergraduate students in their final year and graduate students and researchers in mathematics and theoretical physics.