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Secrecy gain of Gaussian wiretap codes from unimodular lattices

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Secrecy gain of Gaussian wiretap codes from unimodular lattices

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Title: Secrecy gain of Gaussian wiretap codes from unimodular lattices
Author: Lin, Fuchun; Oggier, Frederique
Copyright year: 2011
Abstract: We consider lattice coding over a Gaussian wiretap channel, where an eavesdropper listens to the transmissions between a transmitter and a legitimate receiver. In [1], a new lattice invariant called the secrecy gain was introduced as a code design criterion for wiretap lattice codes, shown to characterize the confusion that a chosen lattice code can cause at the eavesdropper: the higher the secrecy gain of the lattice, the more confusion. In this paper, a formula for the secrecy gain of unimodular lattices is derived. Secrecy gains of extremal odd unimodular lattices as well as unimodular lattices in dimension 16 are computed and compared. Finally, best wiretap lattice codes coming from unimodular lattices in dimension n, 8 ≤ n ≤ 16 are classified.
Subject: DRNTU::Science::Mathematics::Discrete mathematics::Cryptography.
Type: Conference Paper
Conference name: IEEE Information Theory Workshop (2011 : Paraty, Brazil)
School: School of Physical and Mathematical Sciences
Related Organization: Singapore National Research Foundation
Rights: © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [DOI: http://dx.doi.org/10.1109/ITW.2011.6089529 ]
Version: Accepted version

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