Lattices Applied to Coding for Reliable and Secure Communications. 1st ed. 2017

種類:

電子ブック

責任表示:

by Sueli I.R. Costa, Frédérique Oggier, Antonio Campello, Jean-Claude Belfiore, Emanuele Viterbo

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

Costa, Sueli I.R.

Oggier, Frédérique.

Campello, Antonio.

Belfiore, Jean-Claude.

Viterbo, Emanuele.

SpringerLink (Online service)

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シリーズ名:

SpringerBriefs in Mathematics ;

ISBN:

9783319678825 [3319678825]    

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.

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