Lattices Applied to Coding for Reliable and Secure Communications

Nonfiction, Computers, Advanced Computing, Theory, Science & Nature, Mathematics, Geometry
Cover of the book Lattices Applied to Coding for Reliable and Secure Communications by Antonio Campello, Emanuele Viterbo, Jean-Claude Belfiore, Sueli I.R. Costa, Frédérique Oggier, Springer International Publishing
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Author: Antonio Campello, Emanuele Viterbo, Jean-Claude Belfiore, Sueli I.R. Costa, Frédérique Oggier ISBN: 9783319678825
Publisher: Springer International Publishing Publication: April 2, 2018
Imprint: Springer Language: English
Author: Antonio Campello, Emanuele Viterbo, Jean-Claude Belfiore, Sueli I.R. Costa, Frédérique Oggier
ISBN: 9783319678825
Publisher: Springer International Publishing
Publication: April 2, 2018
Imprint: Springer
Language: English

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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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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