Lattice Encoding of Cyclic Codes from Skew-polynomial Rings

Lattice Encoding of Cyclic Codes from Skew-polynomial Rings

We propose a construction of lattices from cyclic codes from skew-polynomial rings. This construction may be seen as a variation of Construction A of lattices from linear codes, obtained from quotients of orders in cyclic division algebras. An application is coset encoding of wiretap space-time code...

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Main Authors: Ducoat, Jérôme, Oggier, Frédérique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
Mathematical Sciences
Online Access:https://hdl.handle.net/10356/79329
http://hdl.handle.net/10220/38756
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-793292023-02-28T19:17:58Z Lattice Encoding of Cyclic Codes from Skew-polynomial Rings Ducoat, Jérôme Oggier, Frédérique School of Physical and Mathematical Sciences 4th International Castle Meeting on Coding Theory and Applications Mathematical Sciences We propose a construction of lattices from cyclic codes from skew-polynomial rings. This construction may be seen as a variation of Construction A of lattices from linear codes, obtained from quotients of orders in cyclic division algebras. An application is coset encoding of wiretap space-time codes. Accepted version 2015-10-01T02:06:34Z 2019-12-06T13:22:42Z 2015-10-01T02:06:34Z 2019-12-06T13:22:42Z 2015 2015 Conference Paper Ducoat, J., & Oggier, F. (2015). Lattice Encoding of Cyclic Codes from Skew-Polynomial Rings. 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014. https://hdl.handle.net/10356/79329 http://hdl.handle.net/10220/38756 10.1007/978-3-319-17296-5_16 181823 en © 2015 Springer International Publishing Switzerland. This is the author created version of a work that has been peer reviewed and accepted for publication by Coding Theory and Applications, Springer International Publishing Switzerland. 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://dx.doi.org/10.1007/978-3-319-17296-5_16]. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Mathematical Sciences
spellingShingle Mathematical Sciences
Ducoat, Jérôme
Oggier, Frédérique
Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
description We propose a construction of lattices from cyclic codes from skew-polynomial rings. This construction may be seen as a variation of Construction A of lattices from linear codes, obtained from quotients of orders in cyclic division algebras. An application is coset encoding of wiretap space-time codes.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ducoat, Jérôme
Oggier, Frédérique
format Conference or Workshop Item
author Ducoat, Jérôme
Oggier, Frédérique
author_sort Ducoat, Jérôme
title Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
title_short Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
title_full Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
title_fullStr Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
title_full_unstemmed Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
title_sort lattice encoding of cyclic codes from skew-polynomial rings
publishDate 2015
url https://hdl.handle.net/10356/79329
http://hdl.handle.net/10220/38756
_version_ 1759857656651055104

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