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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Oggier, Frederique, Sboui, Adnen
مؤلفون آخرون: School of Physical and Mathematical Sciences
التنسيق: Conference or Workshop Item
اللغة:English
منشور في: 2013
الموضوعات:
الوصول للمادة أونلاين: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
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المؤسسة: Nanyang Technological University
اللغة: English
الوصف
الملخص: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.