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Introduction To Cryptography With Mathematical Foundations And Computer Implementations


Introduction To Cryptography With Mathematical Foundations And Computer Implementations
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Introduction To Cryptography With Mathematical Foundations And Computer Implementations


Introduction To Cryptography With Mathematical Foundations And Computer Implementations
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Author : Alexander Stanoyevitch
language : en
Publisher: CRC Press
Release Date : 2010-08-09

Introduction To Cryptography With Mathematical Foundations And Computer Implementations written by Alexander Stanoyevitch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-09 with Computers categories.


From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed. Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key points while figures and tables help illustrate more difficult or subtle concepts. Each chapter is punctuated with "Exercises for the Reader;" complete solutions for these are included in an appendix. Carefully crafted exercise sets are also provided at the end of each chapter, and detailed solutions to most odd-numbered exercises can be found in a designated appendix. The computer implementation section at the end of every chapter guides students through the process of writing their own programs. A supporting website provides an extensive set of sample programs as well as downloadable platform-independent applet pages for some core programs and algorithms. As the reliance on cryptography by business, government, and industry continues and new technologies for transferring data become available, cryptography plays a permanent, important role in day-to-day operations. This self-contained sophomore-level text traces the evolution of the field, from its origins through present-day cryptosystems, including public key cryptography and elliptic curve cryptography.



An Introduction To Mathematical Cryptography


An Introduction To Mathematical Cryptography
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Author : Jeffrey Hoffstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15

An Introduction To Mathematical Cryptography written by Jeffrey Hoffstein 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 2008-12-15 with Mathematics categories.


An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.



Introduction To Cryptography With Mathematical Foundations And Computer Implementations Solutions Manual


Introduction To Cryptography With Mathematical Foundations And Computer Implementations Solutions Manual
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Author : George Jennings
language : en
Publisher:
Release Date : 2010-06-10

Introduction To Cryptography With Mathematical Foundations And Computer Implementations Solutions Manual written by George Jennings and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-10 with categories.




Basics Of Contemporary Cryptography For It Practitioners


Basics Of Contemporary Cryptography For It Practitioners
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Author : Boris Ryabko
language : en
Publisher: World Scientific
Release Date : 2005

Basics Of Contemporary Cryptography For It Practitioners written by Boris Ryabko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Business & Economics categories.


The aim of this book is to provide a comprehensive introduction to cryptography without using complex mathematical constructions. The themes are conveyed in a form that only requires a basic knowledge of mathematics, but the methods are described in sufficient detail to enable their computer implementation. The book describes the main techniques and facilities of contemporary cryptography, proving key results along the way. The contents of the first five chapters can be used for one-semester course.



Introduction To Cryptography With Open Source Software


Introduction To Cryptography With Open Source Software
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Author : Alasdair McAndrew
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Introduction To Cryptography With Open Source Software written by Alasdair McAndrew 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.


Once the privilege of a secret few, cryptography is now taught at universities around the world. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. The author, a noted educator in the field, provides a highly practical learning experienc



Fundamentals Of Cryptology


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.



Introduction To Modern Cryptography


Introduction To Modern Cryptography
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Author : Jonathan Katz
language : en
Publisher: CRC Press
Release Date : 2020-12-21

Introduction To Modern Cryptography written by Jonathan Katz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-21 with Computers categories.


Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.



Introduction To Cryptography


Introduction To Cryptography
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Author : Johannes Buchmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Introduction To Cryptography written by Johannes Buchmann 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 2013-12-01 with Mathematics categories.


Cryptography is a key technology in electronic key systems. It is used to keep data secret, digitally sign documents, access control, and so forth. Users therefore should not only know how its techniques work, but they must also be able to estimate their efficiency and security. Based on courses taught by the author, this book explains the basic methods of modern cryptography. It is written for readers with only basic mathematical knowledge who are interested in modern cryptographic algorithms and their mathematical foundation. Several exercises are included following each chapter. This revised and extended edition includes new material on the AES encryption algorithm, the SHA-1 Hash algorithm, on secret sharing, as well as updates in the chapters on factoring and discrete logarithms.



Computational Cryptography


Computational Cryptography
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Author : Joppe Bos
language : en
Publisher:
Release Date : 2021-12-09

Computational Cryptography written by Joppe Bos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-09 with Language Arts & Disciplines categories.


The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.



Mathematics Of Public Key Cryptography


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.