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Mathematical Properties of Sequences and Other Combinatorial Structures

Mathematical Properties of Sequences and Other Combinatorial Structures
Author: Jong-Seon No
Publisher: Springer Science & Business Media
Total Pages: 254
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461503043

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Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory. The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb. Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.


Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition)

Shift Register Sequences: Secure And Limited-access Code Generators, Efficiency Code Generators, Prescribed Property Generators, Mathematical Models (Third Revised Edition)
Author: Golomb Solomon W
Publisher: World Scientific
Total Pages: 272
Release: 2017-01-25
Genre: Technology & Engineering
ISBN: 9814632023

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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.


Perfect Codes And Related Structures

Perfect Codes And Related Structures
Author: Tuvi Etzion
Publisher: World Scientific
Total Pages: 436
Release: 2022-03-14
Genre: Mathematics
ISBN: 981125589X

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In this monograph, we develop the theory of one of the most fascinating topics in coding theory, namely, perfect codes and related structures. Perfect codes are considered to be the most beautiful structure in coding theory, at least from the mathematical side. These codes are the largest ones with their given parameters. The book develops the theory of these codes in various metrics — Hamming, Johnson, Lee, Grassmann, as well as in other spaces and metrics. It also covers other related structures such as diameter perfect codes, quasi-perfect codes, mixed codes, tilings, combinatorial designs, and more. The goal is to give the aspects of all these codes, to derive bounds on their sizes, and present various constructions for these codes.The intention is to offer a different perspective for the area of perfect codes. For example, in many chapters there is a section devoted to diameter perfect codes. In these codes, anticodes are used instead of balls and these anticodes are related to intersecting families, an area that is part of extremal combinatorics. This is one example that shows how we direct our exposition in this book to both researchers in coding theory and mathematicians interested in combinatorics and extremal combinatorics. New perspectives for MDS codes, different from the classic ones, which lead to new directions of research on these codes are another example of how this book may appeal to both researchers in coding theory and mathematicians.The book can also be used as a textbook, either on basic course in combinatorial coding theory, or as an advance course in combinatorial coding theory.


Cloud Computing and Security

Cloud Computing and Security
Author: Xingming Sun
Publisher: Springer
Total Pages: 721
Release: 2018-09-12
Genre: Computers
ISBN: 303000015X

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This six volume set LNCS 11063 – 11068 constitutes the thoroughly refereed conference proceedings of the 4th International Conference on Cloud Computing and Security, ICCCS 2018, held in Haikou, China, in June 2018. The 386 full papers of these six volumes were carefully reviewed and selected from 1743 submissions. The papers cover ideas and achievements in the theory and practice of all areas of inventive systems which includes control, artificial intelligence, automation systems, computing systems, electrical and informative systems. The six volumes are arranged according to the subject areas as follows: cloud computing, cloud security, encryption, information hiding, IoT security, multimedia forensics


Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 1770
Release: 2004
Genre: Mathematics
ISBN:

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Rational Number Theory in the 20th Century

Rational Number Theory in the 20th Century
Author: Władysław Narkiewicz
Publisher: Springer Science & Business Media
Total Pages: 659
Release: 2011-09-02
Genre: Mathematics
ISBN: 0857295322

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The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.


S.M.A.R.T. Circle Projects

S.M.A.R.T. Circle Projects
Author: Andy Liu
Publisher: Springer
Total Pages: 220
Release: 2017-09-07
Genre: Education
ISBN: 3319568116

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This book describes projects in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the second volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials. This book, Volume II, is based on the papers published in scientific and education journals by the Circle members while they were still in junior high school (some still in elementary school). In essence, it explains the purpose of the Circle. Volume I describes how to run a Circle, and Volume III explains what actually takes place in the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.


Wisdom Of Solomon, The: The Genius And Legacy Of Solomon Golomb

Wisdom Of Solomon, The: The Genius And Legacy Of Solomon Golomb
Author: Beatrice A Golomb
Publisher: World Scientific
Total Pages: 592
Release: 2023-07-07
Genre: Science
ISBN: 9811234388

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Solomon Wolf Golomb left an unparalleled legacy of accomplishment and recognition for his work in the applications of mathematics to coding and communication theory. His legacy also includes a host of individuals whose lives and careers were immeasurably enriched by their interactions with him. The co-editors have attempted to collect many articles/essays in this volume, of a not-too-technical sort, by a representative collection of such individuals. Among their motivations is the wish to convince the reader of the incredibly prescient choice of his given name.The first section consists of three articles which have already appeared elsewhere, by noted experts in the fields where the majority of Sol's contributions lie — mathematics, computer science and electrical engineering. The second section consists of three articles by the co-editors in memory of and tribute to Sol. The third section contains 25-30 articles by Sol's family, friends, students, colleagues, etc. They cover a great range of topics and vary widely in length, technicality and other aspects. In the last section are contributions by Sol himself, covering various aspects of his career and interests, as well as other related material.


Tribute to a Mathemagician

Tribute to a Mathemagician
Author: Barry Cipra
Publisher: CRC Press
Total Pages: 308
Release: 2004-11-10
Genre: Mathematics
ISBN: 1439864799

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The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi


Homage to a Pied Puzzler

Homage to a Pied Puzzler
Author: Alan Schoen
Publisher: CRC Press
Total Pages: 320
Release: 2009-02-26
Genre: Mathematics
ISBN: 1439865000

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The tradition of honoring Martin Gardner continues with this edited collection of articles by those who have been inspired by Gardner to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. Contributing authors include world-leading puzzle designers, puzzle collectors, mathematicians, a