Secrecy gain: a lattice coding design criterion for the Gaussian wiretap channel

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• Prof. Jean-Claude Belfiore, Telecom ParisTech (fomerly ENST)
• Tuesday 12 April 2011, 14:00-15:00
• 908.

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We consider the Gaussian wiretap channel, where two legitimate players Alice and Bob communicate over a Gaussian channel, while Eve is eavesdropping, also through a Gaussian channel. We propose a coding strategy based on lattice coset encoding. We analyze Eve’s probability of decoding, from which we define the secrecy gain as a design criterion for lattice codes, expressed in terms of the lattice theta series, which characterizes Eve’s confusion as a function of the channel parameters. The secrecy gain is studied for even unimodular lattices, and an asymptotic analysis shows that it grows exponentially in the dimension of the lattice. Examples of wiretap lattice codes will be given.

Bio: Jean-Claude Belfiore received the “Diplôme d’ingénieur” (Eng. degree) from Ecole Supérieure d’Electricité (Supelec) in 1985, the “Doctorat” (PhD) from ENST in 1989 and the “Habilitation à diriger des Recherches” (HdR) from Université Pierre et Marie Curie (UPMC) in 2001. In 1989, he was enrolled at the “Ecole Nationale Supérieure des Télécommunications, ENST , also called “Télécom ParisTech”, where he is presently full Professor in the Communications & Electronics department. He is carrying out research at the Laboratoire de Traitement et Communication de l’Information, LTCI , joint research laboratories between ENST and the “Centre National de la Recherche Scientifique” (CNRS), UMR 5141 , where he is in charge of research activities in the areas of digital communications, information theory and coding. Jean-Claude Belfiore has made pioneering contributions on modulation and coding for wireless systems (especially space-time coding) by using tools of number theory. He is also, with Ghaya Rekaya and Emanuele Viterbo, one of the co-inventors of the celebrated Golden Code. He is now working on wireless network coding, cooperative communications and coding for physical security. He is author or co-author of more than 200 technical papers and communications and he has served as advisor for more than 30 Ph.D. students. Prof. Belfiore has been the recipient of the 2007 Blondel Medal.

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