A classification of unimodular lattice wiretap codes in small dimensions
Lattice coding over a Gaussian wiretap channel, where an eavesdropper listens to transmissions between a transmitter and a legitimate receiver, is considered. A new lattice invariant called the secrecy gain is used as a code design criterion for wiretap lattice codes since it was shown to characteri...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/106081 http://hdl.handle.net/10220/16616 http://dx.doi.org/10.1109/TIT.2013.2246814 |
| _version_ | 1811695906988228608 |
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| author | Oggier, Frederique Lin, Fuchun |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Oggier, Frederique Lin, Fuchun |
| author_sort | Oggier, Frederique |
| collection | NTU |
| description | Lattice coding over a Gaussian wiretap channel, where an eavesdropper listens to transmissions between a transmitter and a legitimate receiver, is considered. A new lattice invariant called the secrecy gain is used as a code design criterion for wiretap lattice codes since it was shown to characterize the confusion that a chosen lattice can cause at the eavesdropper: the higher the secrecy gain of the lattice, the more confusion. In this paper, secrecy gains of extremal odd unimodular lattices as well as unimodular lattices in dimension n, 16 ≤ n ≤ 23, are computed, covering the four extremal odd unimodular lattices and all the 111 nonextremal unimodular lattices (both odd and even), providing thus a classification of the best wiretap lattice codes coming from unimodular lattices in dimension n, 8 <; n ≤ 23. Finally, to permit lattice encoding via Construction A, the corresponding error correction codes of the best lattices are determined. |
| first_indexed | 2024-10-01T07:30:55Z |
| format | Journal Article |
| id | ntu-10356/106081 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:30:55Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1060812019-12-06T22:04:15Z A classification of unimodular lattice wiretap codes in small dimensions Oggier, Frederique Lin, Fuchun School of Physical and Mathematical Sciences DRNTU::Science::Mathematics Lattice coding over a Gaussian wiretap channel, where an eavesdropper listens to transmissions between a transmitter and a legitimate receiver, is considered. A new lattice invariant called the secrecy gain is used as a code design criterion for wiretap lattice codes since it was shown to characterize the confusion that a chosen lattice can cause at the eavesdropper: the higher the secrecy gain of the lattice, the more confusion. In this paper, secrecy gains of extremal odd unimodular lattices as well as unimodular lattices in dimension n, 16 ≤ n ≤ 23, are computed, covering the four extremal odd unimodular lattices and all the 111 nonextremal unimodular lattices (both odd and even), providing thus a classification of the best wiretap lattice codes coming from unimodular lattices in dimension n, 8 <; n ≤ 23. Finally, to permit lattice encoding via Construction A, the corresponding error correction codes of the best lattices are determined. 2013-10-18T06:41:22Z 2019-12-06T22:04:14Z 2013-10-18T06:41:22Z 2019-12-06T22:04:14Z 2013 2013 Journal Article Lin, F., & Oggier, F. (2013). A classification of unimodular lattice wiretap codes in small dimensions. IEEE Transactions on Information Theory, 59(6), 3295-3303. https://hdl.handle.net/10356/106081 http://hdl.handle.net/10220/16616 http://dx.doi.org/10.1109/TIT.2013.2246814 en IEEE Transactions on Information Theory |
| spellingShingle | DRNTU::Science::Mathematics Oggier, Frederique Lin, Fuchun A classification of unimodular lattice wiretap codes in small dimensions |
| title | A classification of unimodular lattice wiretap codes in small dimensions |
| title_full | A classification of unimodular lattice wiretap codes in small dimensions |
| title_fullStr | A classification of unimodular lattice wiretap codes in small dimensions |
| title_full_unstemmed | A classification of unimodular lattice wiretap codes in small dimensions |
| title_short | A classification of unimodular lattice wiretap codes in small dimensions |
| title_sort | classification of unimodular lattice wiretap codes in small dimensions |
| topic | DRNTU::Science::Mathematics |
| url | https://hdl.handle.net/10356/106081 http://hdl.handle.net/10220/16616 http://dx.doi.org/10.1109/TIT.2013.2246814 |
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