Construction and secrecy gain of a family of 5-modular lattices

The secrecy gain of a lattice is a lattice invariant used to characterize wiretap lattice codes for Gaussian channels. The secrecy gain has been classified for unimodular lattices up to dimension 23, and so far, a few sparse examples are known for l-modular lattices, with l = 2, 3. We propose some c...

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Bibliographic Details
Main Authors: Hou, Xiaolu, Lin, Fuchun, Oggier, Frédérique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/100072
http://hdl.handle.net/10220/24616
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Institution: Nanyang Technological University
Language: English
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Summary:The secrecy gain of a lattice is a lattice invariant used to characterize wiretap lattice codes for Gaussian channels. The secrecy gain has been classified for unimodular lattices up to dimension 23, and so far, a few sparse examples are known for l-modular lattices, with l = 2, 3. We propose some constructions of 5-modular lattices via the Construction A of lattices from linear codes, and study the secrecy gain of the resulting lattices.