Lattice codes for the Gaussian wiretap channel
It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse lattice is added to introduce confusion at the eavesdroppper, who...
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sg-ntu-dr.10356-914392023-02-28T19:18:05Z Lattice codes for the Gaussian wiretap channel Belfiore, Jean-Claude Oggier, Frederique Sole, Patrick School of Physical and Mathematical Sciences International Workshop on Coding and Cryptology (3rd : 2011 : Qingdao, China) DRNTU::Science::Mathematics::Discrete mathematics::Cryptography It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse lattice is added to introduce confusion at the eavesdroppper, whose theta series must be minimized. We study, here, the behavior of this invariant for a class of lattices. Accepted version 2011-10-18T02:45:36Z 2019-12-06T18:05:43Z 2011-10-18T02:45:36Z 2019-12-06T18:05:43Z 2011 2011 Conference Paper Belfiore, J. C., Oggier, F., & Solé, P. (2011). Lattice Codes for the Gaussian Wiretap Channel. IWCC 2011. https://hdl.handle.net/10356/91439 http://hdl.handle.net/10220/7298 10.1007/978-3-642-20901-7_3 157820 en © 2011 Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Coding and Cryptology, Springer. 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 DOI: http://dx.doi.org/10.1007/978-3-642-20901-7_3. 15 p. application/pdf |
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DRNTU::Science::Mathematics::Discrete mathematics::Cryptography Belfiore, Jean-Claude Oggier, Frederique Sole, Patrick Lattice codes for the Gaussian wiretap channel |
| description |
It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse lattice is added to introduce confusion at the eavesdroppper, whose theta series must be minimized. We study, here, the behavior of this invariant for a class of lattices. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Belfiore, Jean-Claude Oggier, Frederique Sole, Patrick |
| format |
Conference or Workshop Item |
| author |
Belfiore, Jean-Claude Oggier, Frederique Sole, Patrick |
| author_sort |
Belfiore, Jean-Claude |
| title |
Lattice codes for the Gaussian wiretap channel |
| title_short |
Lattice codes for the Gaussian wiretap channel |
| title_full |
Lattice codes for the Gaussian wiretap channel |
| title_fullStr |
Lattice codes for the Gaussian wiretap channel |
| title_full_unstemmed |
Lattice codes for the Gaussian wiretap channel |
| title_sort |
lattice codes for the gaussian wiretap channel |
| publishDate |
2011 |
| url |
https://hdl.handle.net/10356/91439 http://hdl.handle.net/10220/7298 |
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1759858311547584512 |