Title :
On the existence of generalized rank weights
Author :
Oggier, Frederique ; Sboui, A.
Author_Institution :
Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
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.
Keywords :
linear codes; network coding; generalized Hamming weights; generalized rank weights; linear wiretap codes; rank metric wiretap network codes; Hamming weight; Linear code; Measurement; Network coding; Parity check codes; Security; Vectors;
Conference_Titel :
Information Theory and its Applications (ISITA), 2012 International Symposium on
Conference_Location :
Honolulu, HI
Print_ISBN :
978-1-4673-2521-9
