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Concise Encyclopedia of Coding Theory

Preț: 1628.00 lei
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Cod produs: 409969
Autor(i): W.Cary Huffman, Jon-Lark Kim, Patrick Sole
Editura: Editura Taylor & Francis
Anul aparitiei: 2021
Nr. pagini: 966 pagini
Limba: engleza
Tip coperta: cartonata
ISBN: 9781138551992
Categorii: Carti in Limbi Straine, Mathematics and Science, Mathematics, Applied mathematics, Carti in Limba Engleza, Carti
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 boundsPart II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphsPart 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. 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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