Motivated by applications in cryptology K. Wei introduced in 1991 the concept of a generalized Hamming weight for a linear block code. In this paper we define generalized Hamming weights for the class of convolutional codes and we derive several of their basic properties. By restricting to convolutional codes having a generator matrix $G(D)$ with bounded Kronecker indices we are able to derive upper and lower bounds on the weight hierarchy.

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CWI
Department of Operations Research, Statistics, and System Theory [BS]

Rosenthal, J, & York, E.V. (1995). On the generalized Hamming weights of convolutional codes. Department of Operations Research, Statistics, and System Theory [BS]. CWI.