Lattices Applied to Coding for Reliable and Secure Communications

• Main Authors: Costa, Sueli I.R (Author, http://id.loc.gov/vocabulary/relators/aut), Oggier, Frédérique (http://id.loc.gov/vocabulary/relators/aut), Campello, Antonio (http://id.loc.gov/vocabulary/relators/aut), Belfiore, Jean-Claude (http://id.loc.gov/vocabulary/relators/aut), Viterbo, Emanuele (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Convex geometry .; Discrete geometry.; Coding theory.; Information theory.; Data encryption (Computer science).; Convex and Discrete Geometry.; Coding and Information Theory.; Cryptology.

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 pres...

Table of Contents:

• Introduction
• Lattices and Applications
• Lattices from Codes
• Ideal Lattices
• Lattices and Spherical Codes
• Lattice and Index Coding.