Wiretap encoding of lattices from number fields using codes over F p

Wittawat Kositwattanarerk; Soon Sheng Ong; Frederique Oggier

doi:10.1109/ISIT.2013.6620699

Wiretap encoding of lattices from number fields using codes over F _p

Wittawat Kositwattanarerk
, Soon Sheng Ong
, Frederique Oggier

School of Physical and Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Citations (Scopus)

Abstract

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(ζ_p+ζ_p^-1) using a linear code over F_p. This generalizes the well-known Construction A and provides an efficient coset encoding for algebraic lattices.

Original language	English
Title of host publication	2013 IEEE International Symposium on Information Theory, ISIT 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2612-2616
Number of pages	5
ISBN (Print)	9781479904464
DOIs	https://doi.org/10.1109/ISIT.2013.6620699
Publication status	Published - 2013
Externally published	Yes
Event	2013 IEEE International Symposium on Information Theory, ISIT 2013 - Istanbul, Turkey Duration: 7 Jul 2013 → 12 Jul 2013

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095
ISSN (Electronic)	2157-8117

Conference

Conference	2013 IEEE International Symposium on Information Theory, ISIT 2013
Country/Territory	Turkey
City	Istanbul
Period	7/07/13 → 12/07/13

Access to Document

10.1109/ISIT.2013.6620699

Cite this

Kositwattanarerk, W., Ong, S. S., & Oggier, F. (2013). Wiretap encoding of lattices from number fields using codes over F _p. In 2013 IEEE International Symposium on Information Theory, ISIT 2013 (pp. 2612-2616). Article 6620699 (IEEE International Symposium on Information Theory - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2013.6620699

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title = "Wiretap encoding of lattices from number fields using codes over F p",

abstract = "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+ζp-1) using a linear code over Fp. This generalizes the well-known Construction A and provides an efficient coset encoding for algebraic lattices.",

author = "Wittawat Kositwattanarerk and Ong, \{Soon Sheng\} and Frederique Oggier",

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series = "IEEE International Symposium on Information Theory - Proceedings",

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Kositwattanarerk, W, Ong, SS & Oggier, F 2013, Wiretap encoding of lattices from number fields using codes over F _p. in 2013 IEEE International Symposium on Information Theory, ISIT 2013., 6620699, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 2612-2616, 2013 IEEE International Symposium on Information Theory, ISIT 2013, Istanbul, Turkey, 7/07/13. https://doi.org/10.1109/ISIT.2013.6620699

Wiretap encoding of lattices from number fields using codes over F _p. / Kositwattanarerk, Wittawat; Ong, Soon Sheng; Oggier, Frederique.
2013 IEEE International Symposium on Information Theory, ISIT 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 2612-2616 6620699 (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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