Secrecy gain of Gaussian wiretap codes from unimodular lattices

We consider lattice coding over a Gaussian wiretap...

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Main Authors: Lin, Fuchun, Oggier, Frederique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2012
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Online Access:https://hdl.handle.net/10356/93876
http://hdl.handle.net/10220/7450
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-938762023-02-28T19:18:04Z Secrecy gain of Gaussian wiretap codes from unimodular lattices Lin, Fuchun Oggier, Frederique School of Physical and Mathematical Sciences IEEE Information Theory Workshop (2011 : Paraty, Brazil) Singapore National Research Foundation DRNTU::Science::Mathematics::Discrete mathematics::Cryptography 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. Accepted version 2012-01-06T06:00:22Z 2019-12-06T18:46:59Z 2012-01-06T06:00:22Z 2019-12-06T18:46:59Z 2011 2011 Conference Paper Lin, F., & Oggier, F. (2011). Secrecy Gain of Gaussian Wiretap Codes from Unimodular Lattices. Paper presented at the Information Theory Workshop (ITW), 2011 IEEE, 718-722. https://hdl.handle.net/10356/93876 http://hdl.handle.net/10220/7450 10.1109/ITW.2011.6089529 161338 en © 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 ] 6 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Discrete mathematics::Cryptography
spellingShingle DRNTU::Science::Mathematics::Discrete mathematics::Cryptography
Lin, Fuchun
Oggier, Frederique
Secrecy gain of Gaussian wiretap codes from unimodular lattices
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Lin, Fuchun
Oggier, Frederique
format Conference or Workshop Item
author Lin, Fuchun
Oggier, Frederique
author_sort Lin, Fuchun
title Secrecy gain of Gaussian wiretap codes from unimodular lattices
title_short Secrecy gain of Gaussian wiretap codes from unimodular lattices
title_full Secrecy gain of Gaussian wiretap codes from unimodular lattices
title_fullStr Secrecy gain of Gaussian wiretap codes from unimodular lattices
title_full_unstemmed Secrecy gain of Gaussian wiretap codes from unimodular lattices
title_sort secrecy gain of gaussian wiretap codes from unimodular lattices
publishDate 2012
url https://hdl.handle.net/10356/93876
http://hdl.handle.net/10220/7450
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