Algebraic Cryptanalysis

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Release : 2009-08-14
Genre : Computers
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Book Rating : 571/5 ( reviews)

Algebraic Cryptanalysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Cryptanalysis write by Gregory Bard. This book was released on 2009-08-14. Algebraic Cryptanalysis available in PDF, EPUB and Kindle. 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 Cryptography

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Release : 2012-12-06
Genre : Computers
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Book Rating : 428/5 ( reviews)

Algebraic Aspects of Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Aspects of Cryptography write by Neal Koblitz. This book was released on 2012-12-06. Algebraic Aspects of Cryptography available in PDF, EPUB and Kindle. From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher." Mathematical Reviews

An Introduction to Mathematical Cryptography

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Release : 2014-09-11
Genre : Mathematics
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Book Rating : 110/5 ( reviews)

An Introduction to Mathematical Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematical Cryptography write by Jeffrey Hoffstein. This book was released on 2014-09-11. An Introduction to Mathematical Cryptography available in PDF, EPUB and Kindle. This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

Cryptanalysis of Number Theoretic Ciphers

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Release : 2019-08-22
Genre : Mathematics
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Book Rating : 693/5 ( reviews)

Cryptanalysis of Number Theoretic Ciphers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cryptanalysis of Number Theoretic Ciphers write by Samuel S. Wagstaff, Jr.. This book was released on 2019-08-22. Cryptanalysis of Number Theoretic Ciphers available in PDF, EPUB and Kindle. At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. 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. It includes summaries of elementary number theory and group theory, as well as common methods of finding or constructing large random primes, factoring large integers, and computing discrete logarithms. Next, it describes a selection of cryptographic algorithms, most of which use number theory. Finally, the book presents methods of attack on the cryptographic algorithms and assesses their effectiveness. For each attack method the author lists the systems it applies to and tells how they may be broken with it. Computational number theorists are some of the most successful cryptanalysts against public key systems. Cryptanalysis of Number Theoretic Ciphers builds a solid foundation in number theory and shows you how to apply it not only when breaking ciphers, but also when designing ones that are difficult to break.

Cryptology and Network Security

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Release : 2009-11-24
Genre : Computers
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Book Rating : 320/5 ( reviews)

Cryptology and Network Security - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cryptology and Network Security write by Juan A. Garay. This book was released on 2009-11-24. Cryptology and Network Security available in PDF, EPUB and Kindle. The 8th International Conference on Cryptology and Network Security (CANS 2009) was held at the Ishikawa Prefectural Museum of Art in Kanazawa,Japan, during December 12–14, 2009. The conference was jointly co-organized by the NationalInstituteofAdvancedIndustrialScienceandTechnology(AIST),Japan, and the Japan Advanced Institute of Science and Technology (JAIST). In ad- tion, the event was supported by the Special Interest Group on Computer Se- rity (CSEC), IPSJ, Japan, the Japan Technical Group on Information Security (ISEC), IEICE, the Japan Technical Committee on Information and Com- nication System Security(ICSS), IEICE, and the Society of Information Theory and its Applications (SITA), Japan, and co-sponsored by the National Ins- tute of Information and Communications Technology, Japan, ComWorth Co. , LTD, Japan, Hitachi, Ltd. , Hokuriku Telecommunication Network Co. ,Inc. , and Internet Initiative Japan Inc. The conference received 109 submissions from 24 countries, out of which 32 were accepted for publication in these proceedings. At least three Program Committee (PC) members reviewed each submitted paper, while submissions co-authored by a PC member were submitted to the more stringent evaluation of ?ve PC members. In addition to the PC members, many external reviewers joinedthereviewprocessintheirparticularareasofexpertise. Wewerefortunate to have this energetic team of experts, and are deeply grateful to all of them for their hard work, which included a very active discussion phase—almost as long as the initial individual reviewing period. The paper submission, review and discussion processes were e?ectively and e?ciently made possible by the Web-based system iChair.