An analysis of small dimensional fading wiretap lattice codes

An analysis of small dimensional fading wiretap lattice codes

We consider sums of inverse of algebraic norms as a code design criterion for fading wiretap channels. We study their behavior for small dimensional lattices built over the ring of integers of a number field, where the lattice points are taken from finite constellations, whose shaping is either cubi...

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Main Authors: Ducoat, Jérôme, Oggier, Frédérique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
DRNTU::Science::Mathematics::Recreational mathematics
Online Access:https://hdl.handle.net/10356/103868
http://hdl.handle.net/10220/20941
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1038682023-02-28T19:17:22Z An analysis of small dimensional fading wiretap lattice codes Ducoat, Jérôme Oggier, Frédérique School of Physical and Mathematical Sciences 2014 IEEE International Symposium on Information Theory Proceedings DRNTU::Science::Mathematics::Recreational mathematics We consider sums of inverse of algebraic norms as a code design criterion for fading wiretap channels. We study their behavior for small dimensional lattices built over the ring of integers of a number field, where the lattice points are taken from finite constellations, whose shaping is either cubic or spheric. Our analysis shows that unimodular lattices whose underlying number field has a small discriminant give the best performance so far. Accepted version 2014-09-22T07:23:48Z 2019-12-06T21:21:54Z 2014-09-22T07:23:48Z 2019-12-06T21:21:54Z 2014 2014 Conference Paper Ducoat, J., & Oggier, F. (2014). An analysis of small dimensional fading wiretap lattice codes. 2014 IEEE International Symposium on Information Theory (ISIT), 966-970. https://hdl.handle.net/10356/103868 http://hdl.handle.net/10220/20941 10.1109/ISIT.2014.6874976 176802 en © 2014 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: [http://dx.doi.org/10.1109/ISIT.2014.6874976]. 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::Recreational mathematics
spellingShingle DRNTU::Science::Mathematics::Recreational mathematics
Ducoat, Jérôme
Oggier, Frédérique
An analysis of small dimensional fading wiretap lattice codes
description We consider sums of inverse of algebraic norms as a code design criterion for fading wiretap channels. We study their behavior for small dimensional lattices built over the ring of integers of a number field, where the lattice points are taken from finite constellations, whose shaping is either cubic or spheric. Our analysis shows that unimodular lattices whose underlying number field has a small discriminant give the best performance so far.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ducoat, Jérôme
Oggier, Frédérique
format Conference or Workshop Item
author Ducoat, Jérôme
Oggier, Frédérique
author_sort Ducoat, Jérôme
title An analysis of small dimensional fading wiretap lattice codes
title_short An analysis of small dimensional fading wiretap lattice codes
title_full An analysis of small dimensional fading wiretap lattice codes
title_fullStr An analysis of small dimensional fading wiretap lattice codes
title_full_unstemmed An analysis of small dimensional fading wiretap lattice codes
title_sort analysis of small dimensional fading wiretap lattice codes
publishDate 2014
url https://hdl.handle.net/10356/103868
http://hdl.handle.net/10220/20941
_version_ 1759854363242659840

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