Algebraic Aspects Of Cryptography
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Algebraic Aspects Of Cryptography
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Author : Neal Koblitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic Aspects Of Cryptography written by Neal Koblitz 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 2012-12-06 with Computers categories.
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.
Algebraic Cryptanalysis
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Author : Gregory Bard
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-14
Algebraic Cryptanalysis written by Gregory Bard 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 2009-08-14 with Computers categories.
Algebraic Cryptanalysis bridges the gap between a course in cryptography, and being able to read the cryptanalytic literature. This book is divided into three parts: Part One covers the process of turning a cipher into a system of equations; Part Two covers finite field linear algebra; Part Three covers the solution of Polynomial Systems of Equations, with a survey of the methods used in practice, including SAT-solvers and the methods of Nicolas Courtois. Topics include: Analytic Combinatorics, and its application to cryptanalysis The equicomplexity of linear algebra operations Graph coloring Factoring integers via the quadratic sieve, with its applications to the cryptanalysis of RSA Algebraic Cryptanalysis is designed for advanced-level students in computer science and mathematics as a secondary text or reference book for self-guided study. This book is suitable for researchers in Applied Abstract Algebra or Algebraic Geometry who wish to find more applied topics or practitioners working for security and communications companies.
Algebraic Aspects Of The Advanced Encryption Standard
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Author : Carlos Cid
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-24
Algebraic Aspects Of The Advanced Encryption Standard written by Carlos Cid 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 2006-11-24 with Computers categories.
The Advanced Encryption Standard (AES) is the successor to the Data Encryption Standard, and is potentially the world's most important block cipher (a method for encrypting text). While existing analytical techniques for block ciphers have used a statistical approach, this book provides a comprehensive analysis of the application of algebraic techniques to the Advanced Encryption Standard (AES). These techniques may have a dramatic effect on the security of the AES.
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.
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.
Algebraic Aspects Of Digital Communications
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Author : Tanush Shaska
language : en
Publisher: IOS Press
Release Date : 2009
Algebraic Aspects Of Digital Communications written by Tanush Shaska and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
-Proceedings of the NATO Advanced Study Institute on New Challenges in Digital Communications, Vlora, Albania, 27 April - 9 May 2008.---T.p. verso.
Algebraic Curves And Cryptography
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Author : V. Kumar Murty
language : en
Publisher: American Mathematical Soc.
Release Date :
Algebraic Curves And Cryptography written by V. Kumar Murty 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 with categories.
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.
Abstract Algebra
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Author : Celine Carstensen-Opitz
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-09-02
Abstract Algebra written by Celine Carstensen-Opitz and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-02 with Mathematics 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 and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.
Elliptic Curve Public Key Cryptosystems
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Author : Alfred J. Menezes
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-07-31
Elliptic Curve Public Key Cryptosystems written by Alfred J. Menezes 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 1993-07-31 with Computers categories.
Elliptic curves have been intensively studied in algebraic geometry and number theory. In recent years they have been used in devising efficient algorithms for factoring integers and primality proving, and in the construction of public key cryptosystems. Elliptic Curve Public Key Cryptosystems provides an up-to-date and self-contained treatment of elliptic curve-based public key cryptology. Elliptic curve cryptosystems potentially provide equivalent security to the existing public key schemes, but with shorter key lengths. Having short key lengths means smaller bandwidth and memory requirements and can be a crucial factor in some applications, for example the design of smart card systems. The book examines various issues which arise in the secure and efficient implementation of elliptic curve systems. Elliptic Curve Public Key Cryptosystems is a valuable reference resource for researchers in academia, government and industry who are concerned with issues of data security. Because of the comprehensive treatment, the book is also suitable for use as a text for advanced courses on the subject.