On LCD Codes and Lattices
LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Const...
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| Format: | Conference Paper |
| Language: | English |
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2016
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| Online Access: | https://hdl.handle.net/10356/82902 http://hdl.handle.net/10220/41415 |
| _version_ | 1811692913134927872 |
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| author | Hou, Xiaolu Oggier, Frédérique |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Hou, Xiaolu Oggier, Frédérique |
| author_sort | Hou, Xiaolu |
| collection | NTU |
| description | LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Construction A. Lattices obtained from the intersection of a code with its dual via Construction A are further discussed. |
| first_indexed | 2024-10-01T06:43:20Z |
| format | Conference Paper |
| id | ntu-10356/82902 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:43:20Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | ntu-10356/829022023-02-28T19:17:47Z On LCD Codes and Lattices Hou, Xiaolu Oggier, Frédérique School of Physical and Mathematical Sciences 2016 IEEE International Symposium on Information Theory (ISIT) Liquid crystal displays Lattices LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Construction A. Lattices obtained from the intersection of a code with its dual via Construction A are further discussed. Accepted version 2016-09-02T06:19:49Z 2019-12-06T15:07:52Z 2016-09-02T06:19:49Z 2019-12-06T15:07:52Z 2016 2016 Conference Paper Hou, X., & Oggier, F. (2016). On LCD Codes and Lattices. 2016 IEEE International Symposium on Information Theory (ISIT), 1501-1505. https://hdl.handle.net/10356/82902 http://hdl.handle.net/10220/41415 10.1109/ISIT.2016.7541549 190301 en © 2016 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/ISIT.2016.7541549. 5 p. application/pdf |
| spellingShingle | Liquid crystal displays Lattices Hou, Xiaolu Oggier, Frédérique On LCD Codes and Lattices |
| title | On LCD Codes and Lattices |
| title_full | On LCD Codes and Lattices |
| title_fullStr | On LCD Codes and Lattices |
| title_full_unstemmed | On LCD Codes and Lattices |
| title_short | On LCD Codes and Lattices |
| title_sort | on lcd codes and lattices |
| topic | Liquid crystal displays Lattices |
| url | https://hdl.handle.net/10356/82902 http://hdl.handle.net/10220/41415 |
| work_keys_str_mv | AT houxiaolu onlcdcodesandlattices AT oggierfrederique onlcdcodesandlattices |