Algebraic Shift Register Sequences

Author : Mark Goresky
Publisher : Cambridge University Press
ISBN 13 : 1107014999
Total Pages : 515 pages
Book Rating : 4.92/5 ( download)

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Download or read book Algebraic Shift Register Sequences written by Mark Goresky and published by Cambridge University Press. This book was released on 2012-02-02 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.

Author : Solomon Wolf Golomb
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.61/5 ( download)

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Download or read book Shift Register Sequences written by Solomon Wolf Golomb and published by . This book was released on 1982 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mark Goresky
Publisher :
ISBN 13 : 9781139224703
Total Pages : 516 pages
Book Rating : 4.00/5 ( download)

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Download or read book Algebraic Shift Register Sequences written by Mark Goresky and published by . This book was released on 2014-05-14 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pseudo-random sequences are essential ingredients of every modern digital communication system including cellular telephones, GPS, secure internet transactions and satellite imagery. Each application requires pseudo-random sequences with specific statistical properties. This book describes the design, mathematical analysis and implementation of pseudo-random sequences, particularly those generated by shift registers and related architectures such as feedback-with-carry shift registers. The earlier chapters may be used as a textbook in an advanced undergraduate mathematics course or a graduate electrical engineering course; the more advanced chapters provide a reference work for researchers in the field. Background material from algebra, beginning with elementary group theory, is provided in an appendix.

Author : Solomon W. Golomb
Publisher : World Scientific Publishing Company
ISBN 13 : 9789814632003
Total Pages : 249 pages
Book Rating : 4.07/5 ( download)

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Download or read book Shift Register Sequences written by Solomon W. Golomb and published by World Scientific Publishing Company. This book was released on 2016-05-30 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shift register sequences cover a broad range of applications, from radar signal design, pseudo-random number generation, digital wireless telephony, and many other areas in coded communications. It is the primary area for which the author, Dr Golomb, received the US National Medal of Science. This book is the third, revised edition of the original definitive book on shift register sequences which was published in 1967, which has been widely distributed, read, and cited. It has stood the test of time, and provides a clear, comprehensive, and readily applicable description of both linear and non-linear shift register sequences.

Author : Franz Pichler
Publisher : Springer
ISBN 13 : 3540398058
Total Pages : 280 pages
Book Rating : 4.59/5 ( download)

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Download or read book Advances in Cryptology – EUROCRYPT '85 written by Franz Pichler and published by Springer. This book was released on 2003-05-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The storage, routing and transmission of information, either in the form of digital data or of analog signals, plays a central role in modern society. To ensure that such information is protected from access by unauthorized persons is an important new challenge. The development of the theory and practical techniques needed to meet this challenge is the goal of current cryptological research. This research is highly varied and multidisciplinary. It is concerned with fundamental problems in mathematics and theoretical computer science as well as with the engineering aspects of complex information systems. Cryptology today ranks among the most active and interesting areas of research in both science and engineering. EUROCRYPT '85 maintained the tradition of the three previous workshops in this series (Paris 1984, Udine 1983, Burg Feuerstein 1982) with its emphasis on recent developments in cryptology, but also made a concerted effort to encompass more traditional topics in cryptology such as shift register theory and system theory. The many papers on these topics in this volume are witness to the success of this effort.

Author : Dirk Hachenberger
Publisher : Springer Nature
ISBN 13 : 3030608069
Total Pages : 785 pages
Book Rating : 4.64/5 ( download)

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Download or read book Topics in Galois Fields written by Dirk Hachenberger and published by Springer Nature. This book was released on 2020-09-29 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.

Author : Alexander Pott
Publisher : Springer
ISBN 13 : 3540491821
Total Pages : 185 pages
Book Rating : 4.28/5 ( download)

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Download or read book Finite Geometry and Character Theory written by Alexander Pott and published by Springer. This book was released on 2006-11-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences.

Author : Golomb Solomon W
Publisher : World Scientific
ISBN 13 : 9814632023
Total Pages : 272 pages
Book Rating : 4.27/5 ( download)

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Download or read book Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition) written by Golomb Solomon W and published by World Scientific. This book was released on 2017-01-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shift register sequences cover a broad range of applications, from radar signal design, pseudo-random number generation, digital wireless telephony, and many other areas in coded communications. It is the primary area for which the author, Dr Golomb, received the US National Medal of Science. This book is the third, revised edition of the original definitive book on shift register sequences which was published in 1967, which has been widely distributed, read, and cited. It has stood the test of time, and provides a clear, comprehensive, and readily applicable description of both linear and non-linear shift register sequences.

Author : Yanzhong Zhang
Publisher : Springer Nature
ISBN 13 : 981163176X
Total Pages : 512 pages
Book Rating : 4.64/5 ( download)

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Download or read book Footprints in Cambridge and Aviation Industries of China written by Yanzhong Zhang and published by Springer Nature. This book was released on 2021-10-21 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of academician Yanzhong Zhang’s research papers published in English. It represents the development of aerospace systems engineering and information technology in China over the past 4 decades. Regarded as the crucial reference materials of related disciplines, it falls into three categories, namely, information technique, aeronautical engineering strategy issue of development, as well as PhD thesis.

Author : Graham Everest
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 318 pages
Book Rating : 4.55/5 ( download)

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Download or read book Recurrence Sequences written by Graham Everest and published by American Mathematical Soc.. This book was released on 2015-09-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.