Lattices Applied to Coding for Reliable and Secure Communications

The Resource Lattices Applied to Coding for Reliable and Secure Communications

Label

Lattices Applied to Coding for Reliable and Secure Communications

Statement of responsibility

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

Language

eng

Summary

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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Literary form

non fiction

Nature of contents

dictionaries

Series statement

SpringerBriefs in Mathematics,
Springer eBooks
Springer eBooks.

Context

Context of Lattices Applied to Coding for Reliable and Secure Communications

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