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"Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research Editor bio W. Cary Huffman (1948-) received his PhD in mathematics from the California Institute of Technology in 1974. He taught at Dartmouth College (1974 - 1976) as a John Wesley Young Research Instructor and then at Union College (1976 - 1978). In 1978, he joined the Department of Mathematics and Statistics at Loyola University Chicago, continuing there until his retirement in 2018; he is now professor emeritus. He served as that department's chair from 1986 to 1992. He is co-editor of the Handbook of Coding Theory and co-author of Fundamentals of Error-Correcting Codes, both with Vera Pless. In addition, he has published numerous papers in finite group theory, combinatorics, and algebraic coding theory. Jon-Lark Kim received his Ph.D. in 2002 from Department of Math of the University of Illinois at Chicago. He was an Associate Professor at the University of Louisville until 2012. He is currently professor at Math Department of Sogang University in Seoul. He has authored more than fifty research papers and one book on Coding Theory. He is the recipient of the 2004 Kirkman medal from the Institute of Combinatorics and its Applications. His research interests include Coding Theory, Cryptography, Combinatorics, Bioinformatics, and Artificial Intelligence. Patrick Solé (1960-) received the Ingénieur and the Docteur Ingénieur degrees from Ecole Nationale Supérieure des Télécommunications, Paris, France in 1984 and 1987, respectively, and the Habilitation à Diriger des Recherches degree from University of Nice Sophia-Antipolis, France, in 1993"--

Coding theory

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Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and C^*-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.

Symbolic dynamics. --- Coding theory.

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Computer Communication Networks. --- Coding and Information Theory.

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Have fun with LEGO BOOST and Scratch programming while building smart robots that can interact with the world around youKey Features* Get up to speed with building your first LEGO BOOST robotic model* Build interesting robotics prototypes that can perform tasks just like real-life machines* Discover exciting projects to bring classic LEGO bricks to life using motors and sensorsBook DescriptionLEGO BOOST is a feature-rich creative toolbox that helps kids to develop science, technology, engineering, and mathematics (STEM) skills in a fun way. The LEGO BOOST kit consists of motors, sensors, and more than 840 LEGO pieces to bring various multifunctional robots to life. This book will take you on an interesting and enjoyable journey where you will have fun building robots while developing your problem-solving and logical thinking skills.This book is an end-to-end guide that will take you from a beginner to expert level of robot building with LEGO BOOST and Scratch. Starting with the unboxing and a brief introduction to LEGO BOOST, you'll quickly get your first robotic model up and running. You'll understand how to use the electronic and non-electronic components and have fun building a range of intriguing robotics projects with increasing complexity and advanced functionality. Throughout the book, you'll work on a variety of amazing projects, such as building your own R2D2, a fictional character from Star Wars, that will pique your curiosity to learn robotics and help you explore the full potential of the LEGO BOOST kit. Once you've had fun working with the projects, you'll be introduced to an interesting challenge for you to solve by yourself!By the end of this book, you'll have gained the skills to build creative robotics projects with the LEGO BOOST creative toolbox, and have built on your logical thinking and problem-solving skills.What you will learn* Unbox the LEGO BOOST kit and understand how to get started* Build simple robots with gears and sensors* Discover the right parts to assemble your robots* Program your BOOST robot using the Scratch 3.0 programming language* Understand complex mechanisms for advanced robots* Develop engaging and intelligent robots using electronic and non-electronic components* Create more than 10 complete robotics projects from scratch* Develop logical thinking and unleash your creativityWho this book is forThis book will help 7 to 12-year-old children who want to learn robotics with LEGO BOOST develop their creativity, logical thinking, and problem-solving skills. Teachers, trainers, and parents who wish to teach robotics with LEGO BOOST and Scratch will also find this book useful.

Robots --- Coding theory --- LEGO toys. --- Programming

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A primer for learning SAS and analytics quickly, the book makes use of real-world data analysis steps. Filled with line-by-line code explanations, it is packed with fully functional and easily modifiable code covering both data manipulation as well as statistical analyses.

Coding theory. --- Computer programming. --- SAS (Computer program language)