Wiretap encoding of lattices from number fields using codes over Fp

Wiretap encoding of lattices from number fields using codes over Fp

We consider the problem of communication over a block fading wiretap channel. It is known that coding for such a channel can be done using nested lattice codes constructed over totally real number fields. In this paper, we propose a method for encoding an integral lattice over the ring of integers o...

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Main Authors: Kositwattanarerk, Wittawat, Ong, Soon Sheng, Oggier, Frederique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2013
Subjects:
DRNTU::Science::Mathematics::Applied mathematics::Information theory
Online Access:https://hdl.handle.net/10356/96682
http://hdl.handle.net/10220/17079
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-966822020-03-07T12:31:20Z Wiretap encoding of lattices from number fields using codes over Fp Kositwattanarerk, Wittawat Ong, Soon Sheng Oggier, Frederique School of Physical and Mathematical Sciences IEEE International Symposium on Information Theory (2013 : Istanbul, Turkey) DRNTU::Science::Mathematics::Applied mathematics::Information theory We consider the problem of communication over a block fading wiretap channel. It is known that coding for such a channel can be done using nested lattice codes constructed over totally real number fields. In this paper, we propose a method for encoding an integral lattice over the ring of integers of a totally real number field, and study in particular the case of Q( ζp+ζ-1p ) using a linear code over Fp. This generalizes the wellknown Construction A and provides an efficient coset encoding for algebraic lattices. 2013-10-30T08:44:51Z 2019-12-06T19:33:54Z 2013-10-30T08:44:51Z 2019-12-06T19:33:54Z 2013 2013 Conference Paper Kositwattanarerk, K., Ong, S. S., & Oggier, F. (2013). Wiretap Encoding of Lattices from Number Fields Using Codes over Fp. IEEE International Symposium on Information Theory, pp.2612-2616. https://hdl.handle.net/10356/96682 http://hdl.handle.net/10220/17079 10.1109/ISIT.2013.6620699 170814 en © 2013 Institute of Electrical and Electronics Engineers (IEEE).
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Applied mathematics::Information theory
spellingShingle DRNTU::Science::Mathematics::Applied mathematics::Information theory
Kositwattanarerk, Wittawat
Ong, Soon Sheng
Oggier, Frederique
Wiretap encoding of lattices from number fields using codes over Fp
description We consider the problem of communication over a block fading wiretap channel. It is known that coding for such a channel can be done using nested lattice codes constructed over totally real number fields. In this paper, we propose a method for encoding an integral lattice over the ring of integers of a totally real number field, and study in particular the case of Q( ζp+ζ-1p ) using a linear code over Fp. This generalizes the wellknown Construction A and provides an efficient coset encoding for algebraic lattices.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Kositwattanarerk, Wittawat
Ong, Soon Sheng
Oggier, Frederique
format Conference or Workshop Item
author Kositwattanarerk, Wittawat
Ong, Soon Sheng
Oggier, Frederique
author_sort Kositwattanarerk, Wittawat
title Wiretap encoding of lattices from number fields using codes over Fp
title_short Wiretap encoding of lattices from number fields using codes over Fp
title_full Wiretap encoding of lattices from number fields using codes over Fp
title_fullStr Wiretap encoding of lattices from number fields using codes over Fp
title_full_unstemmed Wiretap encoding of lattices from number fields using codes over Fp
title_sort wiretap encoding of lattices from number fields using codes over fp
publishDate 2013
url https://hdl.handle.net/10356/96682
http://hdl.handle.net/10220/17079
_version_ 1681038120691171328

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