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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2015
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| الوصول للمادة أونلاين: | https://hdl.handle.net/10356/79329 http://hdl.handle.net/10220/38756 |
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| المؤسسة: | Nanyang Technological University |
| اللغة: | English |
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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 |
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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 |