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Lattices applied to coding for relia...

Costa, Sueli I.R.

Lattices applied to coding for reliable and secure communications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lattices applied to coding for reliable and secure communicationsby Sueli I.R. Costa ... [et al.].
其他作者:	Costa, Sueli I.R.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	vi, 120 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Lattice theory.
電子資源:	http://dx.doi.org/10.1007/978-3-319-67882-5
ISBN:	9783319678825$q(electronic bk.)

Lattices applied to coding for reliable and secure communications
Lattices applied to coding for reliable and secure communications[electronic resource] /by Sueli I.R. Costa ... [et al.]. - Cham :Springer International Publishing :2017. - vi, 120 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783319678825$q(electronic bk.)

Standard No.: 10.1007/978-3-319-67882-5doiSubjects--Topical Terms:

185633
Lattice theory.

LC Class. No.: QA171.5

Dewey Class. No.: 511.33

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505 0 $a Introduction -- Lattices and Applications -- Lattices from Codes -- Ideal Lattices -- Lattices and Spherical Codes -- Lattice and Index Coding.
520 $a 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.
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