Lattices from totally real number fields with large regulator

We look for examples of totally real number fields with large regulator and inert small primes inside some families of cyclotomic fields. This problem is motivated by the design of wiretap codes for fast fading Rayleigh channels.

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Main Authors: Ong, Soon Sheng, 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/10356/95402
http://hdl.handle.net/10220/24618
http://www.selmer.uib.no/WCC2013/pdfs/Ong.pdf
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-954022023-02-28T19:17:21Z Lattices from totally real number fields with large regulator Ong, Soon Sheng Oggier, Frédérique School of Physical and Mathematical Sciences The International Workshop on Coding and Cryptography (WCC 2013) DRNTU::Science::Mathematics::Mathematical logic We look for examples of totally real number fields with large regulator and inert small primes inside some families of cyclotomic fields. This problem is motivated by the design of wiretap codes for fast fading Rayleigh channels. Accepted version 2015-01-15T01:30:40Z 2019-12-06T19:14:07Z 2015-01-15T01:30:40Z 2019-12-06T19:14:07Z 2013 2013 Conference Paper Ong, S. S., & Oggier, F. (2013). Lattices from totally real number fields with large regulator. Proceedings of the International Workshop on Coding and Cryptography WCC 2013. https://hdl.handle.net/10356/95402 http://hdl.handle.net/10220/24618 http://www.selmer.uib.no/WCC2013/pdfs/Ong.pdf 169366 en © 2013 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Proceedings of International Workshop on Coding and Cryptography, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://www.selmer.uib.no/WCC2013/pdfs/Ong.pdf]. 10 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::Mathematical logic
spellingShingle DRNTU::Science::Mathematics::Mathematical logic
Ong, Soon Sheng
Oggier, Frédérique
Lattices from totally real number fields with large regulator
description We look for examples of totally real number fields with large regulator and inert small primes inside some families of cyclotomic fields. This problem is motivated by the design of wiretap codes for fast fading Rayleigh channels.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ong, Soon Sheng
Oggier, Frédérique
format Conference or Workshop Item
author Ong, Soon Sheng
Oggier, Frédérique
author_sort Ong, Soon Sheng
title Lattices from totally real number fields with large regulator
title_short Lattices from totally real number fields with large regulator
title_full Lattices from totally real number fields with large regulator
title_fullStr Lattices from totally real number fields with large regulator
title_full_unstemmed Lattices from totally real number fields with large regulator
title_sort lattices from totally real number fields with large regulator
publishDate 2015
url https://hdl.handle.net/10356/95402
http://hdl.handle.net/10220/24618
http://www.selmer.uib.no/WCC2013/pdfs/Ong.pdf
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