书目名称 | Lattices Applied to Coding for Reliable and Secure Communications | 编辑 | Sueli I.R. Costa,Frédérique Oggier,Emanuele Viterb | 视频video | | 概述 | Covers the fundamentals of lattices, employing a strongly geometrical and visual approach and accompanying exercises.Assumes only a minimum of background knowledge on the part of the reader.Includes a | 丛书名称 | SpringerBriefs in Mathematics | 图书封面 |  | 描述 | This book provides a first course on lattices – mathematical objects pertaining to the realm of discrete geometry, which are of interest to mathematicians for their structure and, at the same time, are used by electrical and computer engineers working on coding theory and cryptography. The book presents both fundamental concepts and a wealth of applications, including coding and transmission over Gaussian channels, techniques for obtaining lattices from finite prime fields and quadratic fields, constructions of spherical codes, and hard lattice problems used in cryptography. The topics selected are covered in a level of detail not usually found in reference books. As the range of applications of lattices continues to grow, this work will appeal to mathematicians, electrical and computer engineers, and graduate or advanced undergraduate in these fields. | 出版日期 | Book 2017 | 关键词 | lattices; coding theory; signal transmission; cryptography; Gaussian channel; index coding; spherical code | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-67882-5 | isbn_softcover | 978-3-319-67881-8 | isbn_ebook | 978-3-319-67882-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 | issn_series | 2191-8198 | copyright | The Author(s) 2017 |
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