Bøger af Frederique Oggier

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.

Surveys coding techniques for Networked Distributed Storage Systems, which aim at achieving fault tolerance efficiently and good repairability characteristics to replenish the lost redundancy, and ensure data durability over time.

Provides a tutorial introduction to the algebraic tools involved in the design of codes based on division algebras. The different design criteria involved are illustrated, including the constellation shaping, the information lossless property, the non-vanishing determinant property and the diversity multiplexing tradeoff.

Provides an overview of algebraic lattice code designs for Rayleigh fading channels, as well as a tutorial introduction to algebraic number theory. The basic facts of this mathematical field are illustrated by examples and by the use of computer algebra freeware in order to make it more accessible to a large audience.