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＜電子ブック＞
Lattices Applied to Coding for Reliable and Secure Communications / by Sueli I.R. Costa, Frédérique Oggier, Antonio Campello, Jean-Claude Belfiore, Emanuele Viterbo
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
大きさ	VI, 120 p. 43 illus., 33 illus. in color : online resource
著者標目	*Costa, Sueli I.R author Oggier, Frédérique author Campello, Antonio author Belfiore, Jean-Claude author Viterbo, Emanuele author SpringerLink (Online service)
件　名	LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Coding theory LCSH:Information theory LCSH:Cryptography LCSH:Data encryption (Computer science) FREE:Convex and Discrete Geometry FREE:Coding and Information Theory FREE:Cryptology
一般注記	Introduction -- Lattices and Applications -- Lattices from Codes -- Ideal Lattices -- Lattices and Spherical Codes -- Lattice and Index Coding 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 HTTP:URL=https://doi.org/10.1007/978-3-319-67882-5

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