Gaussian wiretap lattice codes from binary self-dual codes
We consider lattice coding over a Gaussian wiretap channel with respect to the secrecy gain, a lattice invariant introduced in [1] to characterize the confusion that a chosen lattice can cause at the eavesdropper. The secrecy gain of the best unimodular lattices construct...
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| Format: | Conference Paper |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/95629 http://hdl.handle.net/10220/9149 |
| _version_ | 1826122935964794880 |
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| author | Lin, Fuchun Oggier, Frederique |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Lin, Fuchun Oggier, Frederique |
| author_sort | Lin, Fuchun |
| collection | NTU |
| description | We consider lattice coding over a Gaussian wiretap
channel with respect to the secrecy gain, a lattice invariant
introduced in [1] to characterize the confusion that a chosen
lattice can cause at the eavesdropper. The secrecy gain of the
best unimodular lattices constructed from binary self-dual codes
in dimension n, 24 ≤ n ≤ 32 are calculated. Numerical upper
bounds on the secrecy gain of unimodular lattices in general and
of unimodular lattices constructed from binary self-dual codes
in particular are derived for all even dimensions up to 168. |
| first_indexed | 2024-10-01T05:56:24Z |
| format | Conference Paper |
| id | ntu-10356/95629 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:56:24Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/956292023-02-28T19:17:39Z Gaussian wiretap lattice codes from binary self-dual codes Lin, Fuchun Oggier, Frederique School of Physical and Mathematical Sciences IEEE Information Theory Workshop (11th : 2012 : Lausanne, Switzerland) DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis We consider lattice coding over a Gaussian wiretap channel with respect to the secrecy gain, a lattice invariant introduced in [1] to characterize the confusion that a chosen lattice can cause at the eavesdropper. The secrecy gain of the best unimodular lattices constructed from binary self-dual codes in dimension n, 24 ≤ n ≤ 32 are calculated. Numerical upper bounds on the secrecy gain of unimodular lattices in general and of unimodular lattices constructed from binary self-dual codes in particular are derived for all even dimensions up to 168. Accepted version 2013-02-19T04:13:14Z 2019-12-06T19:18:32Z 2013-02-19T04:13:14Z 2019-12-06T19:18:32Z 2012 2012 Conference Paper Lin, F., & Oggier, F. (2012). Gaussian wiretap lattice codes from binary self-dual codes. 2012 IEEE Information Theory Workshop (ITW 2012). pp.662-666. https://hdl.handle.net/10356/95629 http://hdl.handle.net/10220/9149 10.1109/ITW.2012.6404761 167277 en © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/ITW.2012.6404761]. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis Lin, Fuchun Oggier, Frederique Gaussian wiretap lattice codes from binary self-dual codes |
| title | Gaussian wiretap lattice codes from binary self-dual codes |
| title_full | Gaussian wiretap lattice codes from binary self-dual codes |
| title_fullStr | Gaussian wiretap lattice codes from binary self-dual codes |
| title_full_unstemmed | Gaussian wiretap lattice codes from binary self-dual codes |
| title_short | Gaussian wiretap lattice codes from binary self-dual codes |
| title_sort | gaussian wiretap lattice codes from binary self dual codes |
| topic | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis |
| url | https://hdl.handle.net/10356/95629 http://hdl.handle.net/10220/9149 |
| work_keys_str_mv | AT linfuchun gaussianwiretaplatticecodesfrombinaryselfdualcodes AT oggierfrederique gaussianwiretaplatticecodesfrombinaryselfdualcodes |