On LCD Codes and Lattices

LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Const...

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Main Authors: Hou, Xiaolu, Oggier, Frédérique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/10356/82902
http://hdl.handle.net/10220/41415
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-829022023-02-28T19:17:47Z On LCD Codes and Lattices Hou, Xiaolu Oggier, Frédérique School of Physical and Mathematical Sciences 2016 IEEE International Symposium on Information Theory (ISIT) Liquid crystal displays Lattices LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Construction A. Lattices obtained from the intersection of a code with its dual via Construction A are further discussed. Accepted version 2016-09-02T06:19:49Z 2019-12-06T15:07:52Z 2016-09-02T06:19:49Z 2019-12-06T15:07:52Z 2016 2016 Conference Paper Hou, X., & Oggier, F. (2016). On LCD Codes and Lattices. 2016 IEEE International Symposium on Information Theory (ISIT), 1501-1505. https://hdl.handle.net/10356/82902 http://hdl.handle.net/10220/41415 10.1109/ISIT.2016.7541549 190301 en © 2016 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.2016.7541549. 5 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 Liquid crystal displays
Lattices
spellingShingle Liquid crystal displays
Lattices
Hou, Xiaolu
Oggier, Frédérique
On LCD Codes and Lattices
description LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Construction A. Lattices obtained from the intersection of a code with its dual via Construction A are further discussed.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Hou, Xiaolu
Oggier, Frédérique
format Conference or Workshop Item
author Hou, Xiaolu
Oggier, Frédérique
author_sort Hou, Xiaolu
title On LCD Codes and Lattices
title_short On LCD Codes and Lattices
title_full On LCD Codes and Lattices
title_fullStr On LCD Codes and Lattices
title_full_unstemmed On LCD Codes and Lattices
title_sort on lcd codes and lattices
publishDate 2016
url https://hdl.handle.net/10356/82902
http://hdl.handle.net/10220/41415
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