On the existence of generalized rank weights
We consider rank metric codes. We introduce a definition of generalized rank weights, that represents a counterpart of generalized “Hamming weights” with respect to the rank metric. We motivate our definition by the security drop behavior of rank metric wiretap network codes, by analo...
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sg-ntu-dr.10356-957552023-02-28T19:17:45Z On the existence of generalized rank weights Oggier, Frederique Sboui, Adnen School of Physical and Mathematical Sciences International Symposium on Information Theory and its Applications (2012 : Honolulu, US) DRNTU::Science::Chemistry::Physical chemistry We consider rank metric codes. We introduce a definition of generalized rank weights, that represents a counterpart of generalized “Hamming weights” with respect to the rank metric. We motivate our definition by the security drop behavior of rank metric wiretap network codes, by analogy to the way generalized Hamming weights characterize linear wiretap codes. We give some examples and properties to support our definition. Published version 2013-02-18T05:46:54Z 2019-12-06T19:20:51Z 2013-02-18T05:46:54Z 2019-12-06T19:20:51Z 2012 2012 Conference Paper Oggier, F., & Sboui, A. (2012). On the existence of generalized rank weights. 2012 International Symposium on Information Theory and its Applications (ISITA2012), pp.406-410. https://hdl.handle.net/10356/95755 http://hdl.handle.net/10220/9133 http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6400964&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3DOn+the+existence+of+generalized+rank+weights 167476 en © 2012 IEICE. This paper was published in 2012 International Symposium on Information Theory and its Applications (ISITA2012) and is made available as an electronic reprint (preprint) with permission of IEICE. The paper can be found at the following official URL: [http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6400964&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3DOn+the+existence+of+generalized+rank+weights]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf |
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DRNTU::Science::Chemistry::Physical chemistry Oggier, Frederique Sboui, Adnen On the existence of generalized rank weights |
| description |
We consider rank metric codes. We introduce a definition of generalized rank weights, that represents a counterpart of generalized “Hamming weights” with respect to the rank metric. We motivate our definition by the security drop behavior
of rank metric wiretap network codes, by analogy to the way
generalized Hamming weights characterize linear wiretap codes. We give some examples and properties to support our definition. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Oggier, Frederique Sboui, Adnen |
| format |
Conference or Workshop Item |
| author |
Oggier, Frederique Sboui, Adnen |
| author_sort |
Oggier, Frederique |
| title |
On the existence of generalized rank weights |
| title_short |
On the existence of generalized rank weights |
| title_full |
On the existence of generalized rank weights |
| title_fullStr |
On the existence of generalized rank weights |
| title_full_unstemmed |
On the existence of generalized rank weights |
| title_sort |
on the existence of generalized rank weights |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/95755 http://hdl.handle.net/10220/9133 http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6400964&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3DOn+the+existence+of+generalized+rank+weights |
| _version_ |
1759856363133992960 |