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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2015
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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 |
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DRNTU::Science::Mathematics::Mathematical logic Ong, Soon Sheng Oggier, Frédérique Lattices from totally real number fields with large regulator |
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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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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Ong, Soon Sheng Oggier, Frédérique |
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Conference or Workshop Item |
author |
Ong, Soon Sheng Oggier, Frédérique |
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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 |
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Lattices from totally real number fields with large regulator |
title_sort |
lattices from totally real number fields with large regulator |
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2015 |
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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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