Gr Bner Bases Coding And Cryptography

Author: Massimiliano Sala
Editor: Springer Science & Business Media
ISBN: 3540938060
File Size: 31,64 MB
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Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.

The Mathematics Of Secrets

Author: Joshua Holden
Editor: Princeton University Press
ISBN: 0691183317
File Size: 62,65 MB
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The Mathematics of Secrets takes readers on a fascinating tour of the mathematics behind cryptography—the science of sending secret messages. Using a wide range of historical anecdotes and real-world examples, Joshua Holden shows how mathematical principles underpin the ways that different codes and ciphers work. He focuses on both code making and code breaking and discusses most of the ancient and modern ciphers that are currently known. He begins by looking at substitution ciphers, and then discusses how to introduce flexibility and additional notation. Holden goes on to explore polyalphabetic substitution ciphers, transposition ciphers, connections between ciphers and computer encryption, stream ciphers, public-key ciphers, and ciphers involving exponentiation. He concludes by looking at the future of ciphers and where cryptography might be headed. The Mathematics of Secrets reveals the mathematics working stealthily in the science of coded messages. A blog describing new developments and historical discoveries in cryptography related to the material in this book is accessible at http://press.princeton.edu/titles/10826.html.

Advances In Coding Theory And Cryptography

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ISBN: 9814475351
File Size: 10,70 MB
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Codes Cryptology And Curves With Computer Algebra

Author: Ruud Pellikaan
Editor: Cambridge University Press
ISBN: 0521817110
File Size: 73,59 MB
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Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.

Public Key Cryptography Pkc 2012

Author: Marc Fischlin
Editor: Springer
ISBN: 364230057X
File Size: 42,42 MB
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This book constitutes the refereed proceedings of the 15th International Conference on Practice and Theory in Public Key Cryptography, PKC 2012, held in Darmstadt, Germany, in May 2012. The 41 papers presented were carefully reviewed and selected from 188 submissions. The book also contains one invited talk. The papers are organized in the following topical sections: homomorphic encryption and LWE, signature schemes, code-based and multivariate crypto, public key encryption: special properties, identity-based encryption, public-key encryption: constructions, secure two-party and multi-party computations, key exchange and secure sessions, public-key encryption: relationships, DL, DDH, and more number theory, and beyond ordinary signature schemes.

Multidisciplinary Perspectives In Cryptology And Information Security

Author: Sadkhan Al Maliky, Sattar B.
Editor: IGI Global
ISBN: 1466658096
File Size: 57,89 MB
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With the prevalence of digital information, IT professionals have encountered new challenges regarding data security. In an effort to address these challenges and offer solutions for securing digital information, new research on cryptology methods is essential. Multidisciplinary Perspectives in Cryptology and Information Security considers an array of multidisciplinary applications and research developments in the field of cryptology and communication security. This publication offers a comprehensive, in-depth analysis of encryption solutions and will be of particular interest to IT professionals, cryptologists, and researchers in the field.

2004 Ieee International Symposium On Information Theory Proceedings Chicago Downtown Marriott Chicago Illinois Usa June 27 July 2 2004

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ISBN:
File Size: 20,55 MB
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Memoirs Of The Scientific Sections Of The Academy Of The Socialist Republic Of Romania

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ISBN:
File Size: 11,73 MB
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Mathematical Reviews

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File Size: 80,30 MB
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On The Structure Of Hermitian Codes

Author: John Little
Editor:
ISBN:
File Size: 53,23 MB
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Cryptography And Coding

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ISBN:
File Size: 13,52 MB
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Code Based Cryptography

Author: Marco Baldi
Editor: Springer
ISBN: 3030259226
File Size: 20,89 MB
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This book constitutes the refereed and revised post-conference proceedings of the 7th International Workshop on Code-Based Cryptography, CBC 2019, held in Darmstadt, Germany, in May 2019. The eight papers presented in this book were carefully reviewed and selected from numerous submissions. These contributions are divided into two groups: The first four papers deal with the design of code-based cryptosystems, while the following four papers are on cryptanalysis of code-based cryptosystems.

Handbook Of Coding Theory

Author: Bozzano G Luisa
Editor: North Holland
ISBN:
File Size: 41,56 MB
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The second volume of this work contains Parts 2 and 3 of the "Handbook of Coding Theory". Part 2, "Connections", is devoted to connections between coding theory and other branches of mathematics and computer science. Part 3, "Applications", deals with a variety of applications for coding.

Cryptography And Coding

Author: Nigel Smart
Editor: Springer
ISBN: 3540324186
File Size: 78,55 MB
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This book constitutes the refereed proceedings of the 10th IMA International Conference on Cryptography and Coding, held in Cirencester, UK, in December 2005. The 26 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 94 submissions. The papers are organized in topical sections on coding theory, signatures and signcryption, symmetric cryptography, side channels, algebraic cryptanalysis, information theoretic applications, number theoretic foundations, and public key and ID-based encryption schemes.

Algebraic Cryptanalysis Of Block Ciphers Using Groebner Bases

Author: Andrey Pyshkin
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ISBN:
File Size: 63,83 MB
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Algebraic Aspects Of Cryptography

Author: Neal Koblitz
Editor: Springer Science & Business Media
ISBN: 3662036428
File Size: 44,46 MB
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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

Vestnik

Author: Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova
Editor:
ISBN:
File Size: 20,85 MB
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Noncommutative Gr Bner Bases In Polly Cracker Cryptosystems

Author: Andreas Helde
Editor:
ISBN: 9783838329970
File Size: 72,86 MB
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Applied Algebra Algebraic Algorithms And Error Correcting Codes

Author: AAECC (13, 1999, Honolulu, Hawaii)
Editor: Springer Science & Business Media
ISBN: 9783540667230
File Size: 36,14 MB
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This book constitutes the refereed proceedings of the 19th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-13, held in Honolulu, Hawaii, USA in November 1999. The 42 revised full papers presented together with six invited survey papers were carefully reviewed and selected from a total of 86 submissions. The papers are organized in sections on codes and iterative decoding, arithmetic, graphs and matrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Gröbner bases and AG codes, and polynomials.