Lattices Applied to Coding for Reliable and Secure Communications

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

Sueli I. R. Costa received her PhD in Mathematics from the University of Campinas, Brazil, and pursued her post-doctoral studies at the Institute for Advanced Study - IAS, Princeton, USA. She is a professor at the Institute of Mathematics of University of Campinas and her recent research activities in lattice coding and information include short-term visits to the Bernoulli Centre, EPFL, Switzerland; the AT&T Research Lab, USA, Télécom ParisTech, France, and serving as chair of the IEEE-Information Theory Society Brazil Chapter.

Frederique Oggier received a PhD in mathematics from the Swiss Federal Institute of Technology (EPFL, before continuing post-doctoral studies at the California Institute of Technology - Caltech, USA,and the Research Center for Information Security at the National Institute of Advanced Industrial and Science Technology, Japan. She is currently an associate professor at Nanyang Technological University, Singapore.



Antonio Campelloreceived the PhD degree in Applied Mathematics from the University of Campinas, Brazil, in 2014. He was a visiting academic at the Complutense University of Madrid in 2009, at the École Polytechnique Fédérale de Lausanne (EPFL) in 2011, and at AT&T Research Labs - Shannon Labs, New Jersey in 2013. After spending one year at Télécom Paristech, France, he is currently conducting postdoctoral research at Imperial College London, UK. His research interests are in coding theory, discrete geometry, and communications.



Jean-Claude Belfiore received his Engineering degree from the ÉcoleSupérieure d'Electricité - Supelec in 1985, his PhD from Télécom ParisTech in 1989 and his Habilitation from Université Pierre et Marie Curie in 2001. In 1989 he joined the Télécom ParisTech, where he is currently serving as a full professor. He has made pioneering contributions on modulation and coding for wireless systems using tools from number theory. He is also, together with Ghaya