Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades.
Employing Sage―a free open-source mathematics software system―to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

Selected Unsolved Problems in Coding Theory (Applied and Numerical Harmonic Analysis)

Joyner, David

Kim, Jon-Lark

Reference

Birkhauser

Mathematicians Playing Games (AK Peters/CRC Recreational Mathematics Series)

Humor & Entertainment

Puzzles & Games

A K Peters/CRC Press

Concise Encyclopedia of Coding Theory

Product Description 
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\nSuitable for students and researchers in a wide range of mathematical disciplines\nContains many examples and references\nMost topics take the reader to the frontiers of research\nReview 
"If you want a comprehensive outline of classical coding theory and its modern applications, you will appreciate this encyclopedia. It is written by a large international group of experts with a wide spread of experience. Extensive references to publications and web sources support the chapters; they allow the reader to follow in depth interests sparked by each topic covered. The vast range of applications detailed makes it evident that coding theory is a major and vital area of mathematics."– Emeritus Professor Harold Ward, University of Virginia 
"Featuring a wealth of examples and references, and addressing topics on the cutting edge of research and practice, 
Concise Encyclopedia of Coding Theory is especially useful for students and researchers in a wide range of mathematical disciplines, as well as is an ideal textbook for coding theory curriculums. While especially and unreservedly recommended for college and university library Combinatorics, Information Theory, and Web Encryption collections and supplemental studies curriculums, it should be noted for the personal reading lists of professional coders, coding students, academia, and non-specialist general readers with an interest in the subject"\n– Midwest Book Review\nAbout the Author 
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 In

Computers & Technology

Huffman, W. Cary

Solé, Patrick

Computer Science

Chapman and Hall/CRC

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