Algebraic Aspects Of Digital Communications

Author : Tanush Shaska
Publisher : IOS Press
ISBN 13 : 1607500191
Total Pages : 296 pages
Book Rating : 4.93/5 ( download)

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Download or read book Algebraic Aspects of Digital Communications written by Tanush Shaska and published by IOS Press. This book was released on 2009 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Proceedings of the NATO Advanced Study Institute on New Challenges in Digital Communications, Vlora, Albania, 27 April - 9 May 2008.---T.p. verso.

Author : Carlos Cid
Publisher : Springer Science & Business Media
ISBN 13 : 0387368426
Total Pages : 145 pages
Book Rating : 4.29/5 ( download)

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Download or read book Algebraic Aspects of the Advanced Encryption Standard written by Carlos Cid and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 145 pages. 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.

Author : Ron Donagi
Publisher : Cambridge University Press
ISBN 13 : 110871577X
Total Pages : 537 pages
Book Rating : 4.75/5 ( download)

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Download or read book Integrable Systems and Algebraic Geometry written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-03-02 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Author : Ron Donagi
Publisher : Cambridge University Press
ISBN 13 : 1108805337
Total Pages : 537 pages
Book Rating : 4.39/5 ( download)

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Download or read book Integrable Systems and Algebraic Geometry: Volume 2 written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.

Author : Ron Donagi
Publisher : Cambridge University Press
ISBN 13 : 110880358X
Total Pages : 421 pages
Book Rating : 4.88/5 ( download)

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Download or read book Integrable Systems and Algebraic Geometry: Volume 1 written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.

Author : Kevin Broughan
Publisher : Cambridge University Press
ISBN 13 : 1108187021
Total Pages : 513 pages
Book Rating : 4.22/5 ( download)

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Download or read book Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents written by Kevin Broughan and published by Cambridge University Press. This book was released on 2017-11-02 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

Author : Richard E. Blahut
Publisher : Springer Science & Business Media
ISBN 13 : 1461228263
Total Pages : 150 pages
Book Rating : 4.64/5 ( download)

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Download or read book Algebraic Methods for Signal Processing and Communications Coding written by Richard E. Blahut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.

Author : Neal Koblitz
Publisher : Springer Science & Business Media
ISBN 13 : 3662036428
Total Pages : 214 pages
Book Rating : 4.26/5 ( download)

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Download or read book Algebraic Aspects of Cryptography written by Neal Koblitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 214 pages. 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

Author : Peter Seibt
Publisher : Springer Science & Business Media
ISBN 13 : 3540332197
Total Pages : 446 pages
Book Rating : 4.90/5 ( download)

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Download or read book Algorithmic Information Theory written by Peter Seibt and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Information Theory treats the mathematics of many important areas in digital information processing. It has been written as a read-and-learn book on concrete mathematics, for teachers, students and practitioners in electronic engineering, computer science and mathematics. The presentation is dense, and the examples and exercises are numerous. It is based on lectures on information technology (Data Compaction, Cryptography, Polynomial Coding) for engineers.

Author : Valdemar Cardoso da Rocha, Jr.
Publisher : Momentum Press
ISBN 13 : 1606505750
Total Pages : 206 pages
Book Rating : 4.55/5 ( download)

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Download or read book Elements of Algebraic Coding Systems written by Valdemar Cardoso da Rocha, Jr. and published by Momentum Press. This book was released on 2014-07-31 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Algebraic Coding Systems is an introductory text to algebraic coding theory. In the first chapter, you’ll gain inside knowledge of coding fundamentals, which is essential for a deeper understanding of state-of-the-art coding systems. This book is a quick reference for those who are unfamiliar with this topic, as well as for use with specific applications such as cryptography and communication. Linear error-correcting block codes through elementary principles span eleven chapters of the text. Cyclic codes, some finite field algebra, Goppa codes, algebraic decoding algorithms, and applications in public-key cryptography and secret-key cryptography are discussed, including problems and solutions at the end of each chapter. Three appendices cover the Gilbert bound and some related derivations, a derivation of the Mac- Williams’ identities based on the probability of undetected error, and two important tools for algebraic decoding—namely, the finite field Fourier transform and the Euclidean algorithm for polynomials.