Gaussian wiretap lattice codes from binary self-dual codes

We consider lattice coding over a Gaussian wiretap channel with respect to the secrecy gain, a lattice invariant introduced in [1] to characterize the confusion that a chosen lattice can cause at the eavesdropper. The secrecy gain of the best unimodular lattices construct...

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Bibliographic Details
Main Authors: Lin, Fuchun, Oggier, Frederique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference Paper
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/95629
http://hdl.handle.net/10220/9149
Description
Summary:We consider lattice coding over a Gaussian wiretap channel with respect to the secrecy gain, a lattice invariant introduced in [1] to characterize the confusion that a chosen lattice can cause at the eavesdropper. The secrecy gain of the best unimodular lattices constructed from binary self-dual codes in dimension n, 24 ≤ n ≤ 32 are calculated. Numerical upper bounds on the secrecy gain of unimodular lattices in general and of unimodular lattices constructed from binary self-dual codes in particular are derived for all even dimensions up to 168.