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Algebraic Aspects of the Advanced Encryption Standard

2006-11-24 Computers
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Release : 2006-11-24
Genre : Computers
Kind : eBook
Book Rating : 426/5 ( reviews)

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Book Synopsis Algebraic Aspects of the Advanced Encryption Standard by : Carlos Cid

Download or read book Algebraic Aspects of the Advanced Encryption Standard written by Carlos Cid. This book was released on 2006-11-24. Available in PDF, EPUB and Kindle. Book excerpt: The Belgian block cipher Rijndael was chosen in 2000 by the U.S. government’s National Institute of Standards and Technology (NIST) to be the successor to the Data Encryption Standard. Rijndael was subsequently standardized as the Advanced Encryption Standard (AES), which is potentially the world’s most important block cipher. In 2002, some new analytical techniques were suggested that may have a dramatic effect on the security of the AES. Existing analytical techniques for block ciphers depend heavily on a statistical approach, whereas these new techniques are algebraic in nature. Algebraic Aspects of the Advanced Encryption Standard, appearing five years after publication of the AES, presents the state of the art for the use of such algebraic techniques in analyzing the AES. The primary audience for this work includes academic and industry researchers in cryptology; the book is also suitable for advanced-level students.

Algebraic Aspects of Cryptography

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

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Book Synopsis Algebraic Aspects of Cryptography by : Neal Koblitz

Download or read book Algebraic Aspects of Cryptography written by Neal Koblitz. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advanced Encryption Standard - AES

2005-07-06 Computers
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Release : 2005-07-06
Genre : Computers
Kind : eBook
Book Rating : 570/5 ( reviews)

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Book Synopsis Advanced Encryption Standard - AES by : Hans Dobbertin

Download or read book Advanced Encryption Standard - AES written by Hans Dobbertin. This book was released on 2005-07-06. Available in PDF, EPUB and Kindle. Book excerpt: This book constítutes the thoroughly refereed postproceedings of the 4th International Conference on the Advanced Encryption Standard, AES 2004, held in Bonn, Germany in May 2004. The 10 revised full papers presented together with an introductory survey and 4 invited papers by leading researchers were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on cryptanalytic attacks and related topics, algebraic attacks and related results, hardware implementations, and other topics. All in all, the papers constitute a most up-to-date assessment of the state of the art of data encryption using the Advanced Encryption Standard AES, the de facto world standard for data encryption.

Computational Algebraic Attacks on the Advanced Encryption Standard (AES).

2009 Ciphers
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Release : 2009
Genre : Ciphers
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Computational Algebraic Attacks on the Advanced Encryption Standard (AES). by :

Download or read book Computational Algebraic Attacks on the Advanced Encryption Standard (AES). written by . This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: This thesis examines the vulnerability of the Advanced Encryption Standard (AES) to algebraic attacks. It will explore how strong the Rijndael algorithm must be in order to secure important federal information. There are several algebraic methods of attack that can be used to break a specific cipher, such as Buchburger's and Faugere's F4 and F5 methods. The method to be used and evaluated in this thesis is the Multiple Right Hand Sides (MRHS) Linear Equations. MRHS is a new method that allows computations to be more efficient and the equations to be more compact in comparison with the previously referred methods. Because of the high complexity of the Rijndael algorithm, the purpose of this thesis is to investigate the results of an MRHS attack in a small-scale variant of the AES, since it is impossible to break the actual algorithm by using only the existent knowledge. Instead of the original ten rounds of AES algorithm, variants of up to four rounds were used. Simple examples of deciphering some ciphertexts are presented for different variants of the AES, and the new attack method of MRHS linear equations is compared with the other older methods. This method is more effective timewise than the other older methods, but, in some cases, some systems cannot be uniquely solved.

Algebra for Cryptologists

2016-09-01 Mathematics
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Release : 2016-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 961/5 ( reviews)

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Book Synopsis Algebra for Cryptologists by : Alko R. Meijer

Download or read book Algebra for Cryptologists written by Alko R. Meijer. This book was released on 2016-09-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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