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Difference Sets Sequences And Their Correlation Properties


Difference Sets Sequences And Their Correlation Properties
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Difference Sets Sequences And Their Correlation Properties


Difference Sets Sequences And Their Correlation Properties
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Author : A. Pott
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Difference Sets Sequences And Their Correlation Properties written by A. Pott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized.



Codes From Difference Sets


Codes From Difference Sets
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Author : Cunsheng Ding
language : en
Publisher: World Scientific
Release Date : 2014-08-08

Codes From Difference Sets written by Cunsheng Ding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-08 with Mathematics categories.


This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.



Sequences And Their Applications Seta 2004


Sequences And Their Applications Seta 2004
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Author : Tor Helleseth
language : en
Publisher: Springer
Release Date : 2005-05-20

Sequences And Their Applications Seta 2004 written by Tor Helleseth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-20 with Computers categories.


This volume contains the refereed proceedings of the 3rd International Conf- ence on Sequences and Their Applications (SETA 2004), held in Seoul, Korea during October 24–28, 2004. The previous two conferences, SETA 1998 and SETA 2001, were held in Singapore and Bergen, Norway, respectively. These conferences are motivated by the many widespread applications of sequences in modern communication systems. These applications include pseudorandom sequences in spread spectrum systems, code-division multiple-access, stream ciphers in cryptography and several connections to coding theory. The Technical Program Committee of SETA 2004 received 59 submitted - pers, many more than the submissions to previous SETA conferences. The C- mittee therefore had the di?cult task of selecting the 33 papers to be presented at the Conference in addition to four invited papers. The authors of papers p- sented at the conference were invited to submit full papers that were refereed before appearing in this proceedings. These proceedings have been edited by the Co-chairs of the Technical P- gram Committee for SETA 2004: Tor Helleseth of the University of Bergen, Norway, and Dilip Sarwate of the University of Illinois at Urbana-Champaign, USA, and Technical Program Committee members Hong-Yeop Song of Yonsei University, Korea, and Kyeongcheol Yang of Pohang University of Science and Technology, Korea.



New Directions In Wireless Communications Research


New Directions In Wireless Communications Research
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Author : Vahid Tarokh
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-19

New Directions In Wireless Communications Research written by Vahid Tarokh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-19 with Technology & Engineering categories.


New Directions in Wireless Communications Research addresses critical issues in the design and performance analysis of current and future wireless system design. Intended for use by system designers and academic researchers, the contributions are by acknowledged international leaders in their field. Topics covered include: (1) Characterization of wireless channels; (2) The principles and challenges of OFDM; (3) Low-correlation sequences for communications; (4) Resource allocation in wireless systems; (5) Signal processing for wireless systems, including iterative systems collaborative beamforming and interference rejection and network coding; (6) Multi-user and multiple input-multiple output (MIMO) communications; (7) Cooperative wireless networks, cognitive radio systems and coded bidirectional relaying in wireless networks; (8) Fourth generation standards such as LTE and WiMax and standard proposals such as UMB. With chapters from some of the leading researchers in the field, this book is an invaluable reference for those studying and practicing in the field of wireless communications. The book provides the most recent information on topics of current interest to the research community including topics such as sensor networks, coding for networks, cognitive networks and many more.



Information Security Coding Theory And Related Combinatorics


Information Security Coding Theory And Related Combinatorics
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Author : Dean Crnković
language : en
Publisher: IOS Press
Release Date : 2011

Information Security Coding Theory And Related Combinatorics written by Dean Crnković and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.


"Published in cooperation with NATO Emerging Security Challenges Division"--T.p.



Sequences And Their Applications


Sequences And Their Applications
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Author : T. Helleseth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Sequences And Their Applications written by T. Helleseth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Pseudorandom sequences have widespread applications, for instance, in spread spectrum, code division multiple access, optical and ultrawide band communication systems, as well as in ranging systems global positioning systems, circuit testing and stream ciphers. Such sequences also have strong ties to error-correcting codes. This volume contains survey and research papers on sequences and their applications. It brings together leading experts from discrete mathematics, computer science and communications engineering, and helps to bridge advances in these different areas. Papers in this volume discuss the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation.



Signal Design For Good Correlation


Signal Design For Good Correlation
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Author : Solomon W. Golomb
language : en
Publisher: Cambridge University Press
Release Date : 2005-07-11

Signal Design For Good Correlation written by Solomon W. Golomb and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-11 with Computers categories.


This book provides a comprehensive treatment of methodologies and applications including CDMA telephony, coded radar, and stream cipher generation.



Design Theory


Design Theory
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Author : Thomas Beth
language : en
Publisher: Cambridge University Press
Release Date : 1999

Design Theory written by Thomas Beth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Combinatorial designs and configurations categories.


This is the first volume of the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten and extended during that time. In particular the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications. It is suitable for advanced courses and as a reference work, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.



Designs From Linear Codes Second Edition


Designs From Linear Codes Second Edition
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Author : Cunsheng Ding
language : en
Publisher: World Scientific
Release Date : 2021-12-20

Designs From Linear Codes Second Edition written by Cunsheng Ding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-20 with Computers categories.


Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been made. This second edition is a substantial revision and expansion of the first edition. Two new chapters and two new appendices have been added, and most chapters of the first edition have been revised.It provides a well-rounded and detailed account of t-designs from linear codes. Most chapters of this book cover the support designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, special functions, linear codes and designs are also investigated. This book consists of both classical and recent results on designs from linear codes.It is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry. It can also be used as a textbook for postgraduates in these subject areas.Related Link(s)



Bent Functions


Bent Functions
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Author : Natalia Tokareva
language : en
Publisher: Academic Press
Release Date : 2015-08-24

Bent Functions written by Natalia Tokareva and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-24 with Computers categories.


Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more. - Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications - Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography - Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers