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Concise Encyclopedia of Coding Theory,Used
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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 semidefinite programming, to algebraic geometry.Most topics covered inthe 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, quasicyclic codes, selfdual codes, codes and designs, codes over rings, convolutional codes, performance boundsPart II families: AG codes, group algebra codes, fewweight codes, Boolean function codes, codes over graphsPart III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudorandom sequences, lattices, quantum coding, spacetime codes, network coding, distributed storage, secretsharing, and codebasedcryptography.FeaturesSuitable for students and researchers in a wide range of mathematical disciplinesContains many examples and referencesMost topics take the reader to the frontiers of research
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